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Journal Publications

  1. Golomb, S.W., "Extraterrestrial Linguistics", Astronautics & Aeronautics Magazine, May, 1961.

  2. Golomb, S.W., "Whither Electronics Research", Astronautics & Aeronautics Magazine, January, 1962.

  3. Golomb, S.W., "Beware of the Tigers", Astronautics & Aeronautics Magazine, June, 1962.

  4. Golomb, S.W., "Where to Point the Antennas", Astronautics & Aeronautics Magazine, July, 1962.

  5. Golomb, S.W., "Laying the Lunar Cable", Astronautics & Aeronautics Magazine, August, 1962.

  6. Golomb, S.W., "Proposalese", Astronautics & Aeronautics Magazine, November, 1963.

  7. Golomb, S.W., "Fat and Lean Years", Astronautics & Aeronautics Magazine, August, 1965.

  8. Golomb, S.W., "Aerospace and Urban Blight", Astronautics & Aeronautics Magazine, September, 1965.

  9. Golomb, S.W., "Employment and the Automated Society", Astronautics & Aeronautics Magazine, November, 1965.

  10. Golomb, S.W., "The Book-of-the-Moment Club", Astronautics & Aeronautics Magazine, March, 1966.

  11. Golomb, S.W., "The Wheel in the Middle of the Air", Astronautics & Aeronautics Magazine, August, 1966.

  12. Golomb, S.W., "Mathematical Models--Uses and Limitations", Astronautics & Aeronautics Magazine, January, 1968.

  13. Golomb, S.W., "Messages from Space?" Astronautics & Aeronautics Magazine, July, 1968.

  14. Golomb, S.W., "The Space Program--An Historical Perspective", Astronautics & Aeronautics Magazine, November, 1966.

  15. Golomb, S.W., "Aerospace Technology and Social Systems: Which Learns from Which?" Astronautics & Aeronautics Magazine, December, 1969.

  16. Golomb, S.W., "Some Scenarios on Communications by the Year 2000", Astronautics & Aeronautics Magazine, pp. 66-69, January, 1976.

  17. Golomb, S.W., "Checkerboards and Polyominoes", The American Mathematical Monthly, Vol. 61, No. 10, December, 1954.

  18. Golomb, S.W., "Combinatorial Proof of Fermat's 'Little' Theorem", The American Mathematical Monthly, Vol. 63, No. 10, December, 1956.

  19. Golomb, S.W., "A Connected Topology for the Integers", The American Mathematical Monthly, Vol. 66, No. 8, October, 1959.

  20. Golomb, S.W., and Welch, L.R., "On the Enumeration of Polygons", The American Mathematical Monthly, Vol. 67, No.4, April 1960.

  21. Golomb, S.W., "The Twin Prime Constant", The American Mathematical Monthly, Vol. 67, No. 8, October" 1960.

  22. Golomb, S.W., "On the Ratio of n to (n)", The American Mathematical Monthly, Vol 69, No. 8, January, 1962.

  23. Golomb, S.W., "An Algebraic Algorithm for the Representation Problems of the Ahmes Papyrus", The American Mathematical Monthly, Vol. 69, No. 8, October, 1962.

  24. Golomb, S.W., and Baumert, L.D., "The Search for Hadamard Matrices", The American Mathematical Monthly, Vol. 70, No. 1, January, 1963.

  25. Golomb, S.W., "On Certain Nonlinear Recurring Sequences", The American Mathematical Monthly, Vol. 70, No. 4, April, 1963.

  26. Golomb, S.W., "Distinct Elements in Non-Commutative Groups and Loops", The American Mathematical Monthly, Vol. 70, No. 5, May, 1963.

  27. Golomb, S.W., "New Proof of a Classic Combinatorial Theorem", The American Mathematical Monthly, Vol. 75, No. 5, May, 1968.

  28. Golomb, S.W., "Powerful Numbers", The American Mathematical Monthly, Vol. 77, No. 8, October, 1970.

  29. Golomb, S.W., "Some Decompositions of the Integers from 0 to p n -1", The American Mathematical Monthly, February, 1972.

  30. Golomb, S.W., "The Largest Graceful Subgraph of the Complete Graph", The American Mathematical Monthly, May, 1974.

  31. Golomb, S.W., "A Direct Interpretation of Gandhi's Formula", The American Mathematical Monthly, August-September, 1974.

  32. Golomb, S.W., "Cyclotomic Polynomials and Factorization Theorems", The American Mathematical Monthly, Vol. 85, No. 9., pp. 734-737, November, 1978.

  33. Golomb, S.W., "Iterated Binomial Coefficients", The American Mathematical Monthly, Vol. 87, No. 7, November, .1980.

  34. Golomb, S.W., "Corrections to Cyclotomic Polynomials and Factorization Theorems", The American Mathematical Monthly, Vol. 88, No. 5, pp. 338-339, May, 1981.

  35. Golomb, S.W., "Normed Division Domains", The American Mathematical Monthly, Vol 88, No. 9, pp. 680-686, November, 1981.

  36. Golomb, S.W., Gordon, B., and Welch, L.R., "Comma-Free Codes", The Canadian Journal of Mathematics, Vol. 10, 1958.

  37. Golomb, S.W., Baumert et al., "Recent Results on Comma-Free Codes", The Canadian Journal of Mathematics, Vol. 15, 1963.

  38. Golomb, S.W., "On the Sum of the Reciprocals of the Fermat Numbers and Related Irrationalities", The Canadian Journal of Mathematics, Vol. 15, 1963.

  39. Golomb, S.W., Betty Tang, and Ronald L. Graham, "Comma-Free Codes of Even Wordlength", The Canadian Journal of Mathematics, Vol. 39, No. 3, pp. 513-526, December, 1987.

  40. Golomb, S.W., "Tiling with Polyominoes", The Journal of Combinatorial Theory, September, 1966.

  41. Golomb, S.W., "A Mathematical Investigation of Games of Take-Away", The Journal of Combinatorial Theory, December, 1966.

  42. Golomb, S.W., and Hales, A., "On Enumerative Equivalence of Group Elements", The Journal of Combinatorial Theory, November, 1968.

  43. Golomb, S.W., "Tiling with Sets of Polyominoes", The Journal of Combinatorial Theory, July, 1970.

  44. Golomb, S.W., "Algebraic Constructions for Costas Arrays", The Journal of Combinatorial Theory - Series A, No. 37, pp. 13-21, July, 1984.

  45. Golomb, S.W., "Permutations by Cutting and Shuffling", SIAM Review, October, 1961.

  46. Golomb, S.W., and Welch, L.R., "Perfect Codes in the Lee Metric, and the Packing of Polyominoes", SIAM Journal on Applied Mathematics, Vol. 18, No. 2, January, 1970.

  47. Golomb, S.W., Cohen, M., Even, S., and Lempel, A., "The Stability of Counting Sequences under Stage Delays", SIAM Journal on Applied Mathematics, Vol. 20, No. 2, March, 1971.
  48. Golomb, S.W., Reed, I.S., and Truong, T.K., "Integer Convolutions Over the Finite Field GF(3á 2<SUP>n +1)", SIAM Journal on Applied Mathematics, March, 1977.

  49. Golomb, S.W., and Lempel, A., "Second Order Polynomial Recursions", SIAM Journal on Applied Mathematics, Vol. 33, No. 4, pp. 587-592, December, 1977.

  50. Golomb, S.W., Hall, Jr., M., and Baumert, L.D., "Discovery of an Hadamard Matrix of Order 92", Bulletin of the American Mathematical Society, May, 1962.

  51. Golomb, S.W., "Random Permutations", Bulletin of the American Mathematical Society, November, 1964.

  52. Golomb, S.W., and Posner, E.C., "Hypercubes of Non-Negative Integers", Bulletin of the American Mathematical Society, July, 1965.

  53. Golomb, S.W., "Wilsonian Products in Groups", Bulletin of the American Mathematical Society, Vol. 76, No. 5. September, 1970.

  54. Golomb, S.W., "On the Classification of Boolean Functions", Transactions of the Information Theory Group of the IEEE, June, 1959.

  55. Golomb, S.W., "A New Derivation of the Entropy Expressions", Transactions of the Information Theory Group of the IEEE, July, 1961.

  56. Golomb, S.W., and Posner, E.C., "Rook Domains, Latin Squares, Affine Planes, and Error-Distributing Codes", Transactions of the Information Theory Group of the IEEE, July, 1964.

  57. Golomb, S.W., and Scholtz, R.A., "Generalized Barker Sequences", Transactions of the Information Theory Group of the IEEE, October, 1965.

  58. Golomb, S.W., "The Information-Generating Function of a Probability Distribution", Transactions of the Information Theory Group of the IEEE, January, 1966.

  59. Golomb, S.W., "Run-Length Encoding", Transactions of the Information Theory Group of the IEEE, July, 1966.

  60. Golomb, S.W., "A General Formulation of Error Metrics", Transactions of the Information Theory Group of the IEEE, May, 1969.

  61. Golomb, S.W., "On the Survival of Sequence Information in Filters", Transactions of the Information Theory Group of the IEEE, March, 1972.

  62. Golomb, S.W., "The Limiting Behavior of the Z-Channel", Transactions of the Information Theory Group of the IEEE, Vol. IT-66, No. 3, pp. 372, May, 1980.

  63. Golomb, S.W., "On the Classification of Balanced Binary Sequences of Period 2(n) -1", Transactions of the Information Theory Group of the IEEE, Vol. IT-26, No. 6, 730-732, November, 1980.

  64. Golomb, S.W., and Taylor, H., "Two-Dimensional Synchronization Patterns for Minimum Ambiguity", Transactions of the Information Theory Group of the IEEE, Vol. IT-28, No. 4, pp.600-604.,July, 1982.

  65. Golomb, S.W., "Extra-Terrestrial Linguistics", Newsletter of the Information Theory Group of the IEEE, July, 1961.

  66. Golomb, S.W., "Zipf's Law as a Tool in Strategic, Military and Economic Intelligence", Newsletter of the Information Theory Group of the IEEE, March, 1962.

  67. Golomb, S.W., "Replicating Figures in the Plane", Mathematical Gazette, December, 1964.

  68. Golomb, S.W., "Geometric Proof of a Famous Identity", Mathematical Gazette, May, 1965.
  69. Golomb, S.W., and Baumert, L.D., "Backtrack Programming", Journal of the Association of Computing Machinery, October, 1965.

  70. Golomb, S.W., "References to Pentominoes", Communications of the ACM, April, 1966.
  71. Golomb, S.W., "Genetic Coding", Engineering and Science, April, 1962.

  72. Golomb, S.W., "When is Extra-Terrestrial Life Interesting?" Engineering and Science, February, 1963.

  73. Golomb, S.W., "A Class of Probability Distributions on the Integers", Journal of Number Theory, Vol. 2, No. 2, May, 1970.

  74. Golomb, S.W., "The Lambda Method in Prime Number Theory", Journal of Number Theory, Vol. 2, No. 2, May, 1970.

  75. Golomb, S.W., "A New Arithmetic Function of Combinatorial Significance", Journal of Number Theory, Vol. 5, No. 3, June, 1973.

  76. Golomb, S.W., and Selfridge, J., "Unicursal Polygonal Paths and Other Graphs on Point Lattices", Pi Mu Epsilon Journal, Fall, 1970.

  77. Golomb, S.W., "Properties of Consecutive Integers", Nordisk Mathematisk Tidskrift, Vol. 4, 1956.

  78. Golomb, S.W., "Sets of Primes with Intermediate Density", Mathematica Scandinavica, Vol. 3, 1955.

  79. Golomb, S.W. and Gordon, B., "Codes with Bounded Synchronization Delay", Information and Control, August, 1965.

  80. Golomb, S.W., "Sources which Maximize the Choice of a Huffman Coding Tree", Information and Control, Vol. 45, No. 3, pp. 263-272, June, 1960.

  81. Golomb, S.W., "Ferreting Signals Out of Noise", International Science and Technology, October, 1963.

  82. Golomb, S.W., "Theory of Transformation Groups of Polynomials Over GF(2) with Applications to Linear Shift Register Sequences", Information Sciences, December, 1968.

  83. Golomb, S.W., and Malling, L., "Radar Measurements of the Planet Venus", Journal of the British I.R.E., October, 1961.

  84. Golomb, S.W., "Influence of Data Processing on the Design and Communication of Experiments", Radio Science, September, 1964.

  85. Golomb, S.W., Delbruck, M., and Welch,L.R., "Construction and Properties of Comma-Free Codes", Biologiske Meddelelser, Kongelige Danske Videnskabernes Selskab, Vol. 23, No. 9, 1958.

  86. Golomb, S.W., "A Short Primer for Extraterrestrial Linguistics", Air Force and Space Digest, July, 1961.

  87. Golomb, S.W., Davey, J.R. et al., "Synchronization", IEEE Transactions on Communication Systems, December, 1963.

  88. Golomb, S.W., "On the Plausibility of the RNA Code", Nature, December, 1962.

  89. Golomb, S.W., "Extracting Signals from Noise", IEEE Student Journal, September, 1964.
  90. Golomb, S.W., "Time Paradoxes", USC Engineer, March, 1964.

  91. Golomb, S.W., "Mathematical Models - Uses and Limitations", Simulation, Vol. 4, No. 14, April, 1970.

  92. Golomb, S.W., "Mathematical Models - Uses and Limitation", IEEE Transactions on Reliability, Vol. R-20, No. 3, August, 1971.

  93. Golomb, S.W and Cheng, U., "On the Characterization of PN Sequences", IEEE Transactions on Information Theory, Vol. IT-29, No. 4, July, 1983.

  94. Golomb, S.W., "On Representing an Integer as the Harmonic Mean of Integers", Mathematics Magazine, November-December, 1973.

  95. Golomb, S.W., "The `Sales Tax' Theorem", Mathematics Magazine, Vol. 49, No. 4, pp. 187-189, September-October, 1976.

  96. Golomb, S.W., "On the Enumeration of Cryptograms", Mathematics Magazine, Vol. 53, No. 4, pp. 219-221, September, 1980.

  97. Golomb, S.W., "The Evidence for Fortune's Conjecture", Mathematics Magazine, Vol. 54, No. 4, pp. 209-210, September, 1981.

  98. Golomb, S.W. "The Problem of the Fifteen Billiard Balls", Mathematics Magazine, pp. 156-160, May, 1985.

  99. Golomb, S.W., "Geometric Proof that a 2X2 Determinant is the Area of a Parallelogram", Mathematics Magazine, pp. 10, March, 1985.

  100. Golomb, S.W. and Franklin, J.N., "A Function-Theoretic Approach to the Study of Nonlinear Recurrring Sequences", Pacific Journal of Mathematics, February, 1975.

  101. Golomb, S.W., "Formulas for the Next Prime", Pacific Journal of Mathematics, Vol. 63, No. 2, pp. 401-404, 1976.

  102. Golomb, S.W., "Properties of the Sequence 3á 2n +1", Mathematics of Computation, Vol. 30, No. 135, pp. 657-663, July, 1976.

  103. Golomb, S.W., and Bloom, G.S., "Applications of Numbered Undirected Graphs", Proceedings of the IEEE, Vol. 65, No. 4, pp. 562-570, April, 1977.

  104. Golomb, S.W. and Taylor, H., "Constructions and Properties of Costas Arrays", Proceedings of the IEEE, Vol 72, No. 9, pp. 1143-1163, September, 1984.

  105. Golomb, S.W., "Obtaining Specified Irreducible Polynomials Over Finite Fields", SIAM Journal on Algebra and Discrete Methods, Vol. 1, No. 4, December, 1980.

  106. Golomb, S.W., "Cryptographic Reflections on the Genetic Code", Cryptologia, Vol. 4, No. 1, pp. 15-19, January,1980.

  107. Golomb, S.W., "One-Sided Operators in Rings", Undergraduate Mathematics and Applications, No. Unit 557, 1981.

  108. Golomb, S.W., "Rubik's Cube and a Model of Quark Confinement", American Journal of Physics, Vol. 49, No. 11, pp. 1030-1031, November, 1981.

  109. Golomb, S.W., "The Numerology of Periodic Decimal Expansions", CRUX Mathematicorum, Vol. 8, No. 2, pp. 32-34, February, 1982.

  110. Golomb, S.W., "Rubik's Cube and Quarks", The American Scientist, Vol. 7, May-June, 1982.

  111. Golomb, S.W., "Max Delbruck - An Appreciation", The American Scholar, Vol. 51, No. 3, pp. 351-367, Summer, 1982.

  112. Golomb, S.W., "C'e l'Universo in un cubo de Rubik", Journal: l'Astronomia, No. 26, ottobre, 1983.

  113. Golomb, S.W., "The Invincible Primes", The Sciences, pp. 50-57, March-April 1985.

  114. Golomb, S.W., "For the Love of Games", The Sciences, pp. 51-54, March-April, 1984.

  115. Golomb, S.W., and Taylor, H., "Tuscan Squares - A New Family of Combinatorial Designs", Ars Combinatoria, Vol. 20-B, December, 1985.

  116. Golomb, S.W., "Optical Disk Error Correction", Byte Magazine, Vol. 11, No. 5, pp. 203-210, May, 1986.

  117. Golomb, S.W., "Distribution of Periods and Frequencies of Runs in Random Binary Sequences", Advances in Applied Mathematics, No. 10, pp. 278-284, 1989.

  118. Golomb, S.W., Taylor, H., and Etzion, T., "Tuscan-K Squares", Advances in Applied Mathematics, No. 10, pp. 164-174, 1989.

  119. Golomb, S.W., "Polyominoes Which Tile Rectangles", Journal of Combinatorial Theory, Series A, Vol. 51, No. 1, pp. 117-124, May 1989.

  120. Golomb, S.W., and Zhang, N., "Sixty-Phase Generalized Barker Sequences", IEEE Trans. on Information Theory, Vol. 35, No. 4, pp. 911-912, July-August 1989.

  121. Taylor, H., Etzion, T., and Golomb, S.W., "Polygonal Path Constructions for Tuscan K-Squares", Ars Combinatorica, vol. 30, pp. 97-140, December, 1990.

  122. Zhang, N., and Golomb, S.W., "Uniqueness of the Generalized Barker Sequence of Length 6", IEEE Transactions on Information Theory, vol. IT-36, no.5, pp. 1167-1170, September, 1990.

  123. Zhang, N., and Golomb, S.W., "A Limit Theorem for n-Phase Barker Sequences", IEEE Transactions on Information Theory, vol. IT-36, no.4, pp. 863-866, July, 1990.

  124. Zhang, N., and Golomb, S.W., "On the Crosscorrelation of Generalized Barker Sequences", IEEE Transactions on Information Theory, vol. IT-36, no.6, pp. 1479-1480, November, 1990.

  125. Mayhew, G, and Golomb, S.W., "Linear Spans of Modified de Bruijn Sequences", IEEE Transactions on Information Theory, vol. IT-36, no.5, pp. 1166-1167, September 1990.

  126. Bloom, G., Hsu, F., and Golomb, S.W., "The Polynomial Model in the Study of Homometric Structures", Discrete Math. Special Issue on Advances in Graph Labelling, 1990.

  127. Golomb, S.W., and Taylor, H., "Algebraic Constructions for Frequency Hop Patterns", Advances in Applied Mathematics.

  128. "A Class of Pseudonoise-Like Pulse Compression Codes", with S. Gottesman and P. Grieve, IEEE Transactions on Aerospace and Electronics Systems, vol. 28, no. 2, pp. 355-361, April 1992.

  129. "Error Correcting Codes and the Genome Project", Computers and Chemistry, vol. 16, no. 2, pp. 183-186, April 1992.

  130. "Two-Valued Sequences with Perfect Periodic Autocorrelation", IEEE Transactions on Aerospace and Electronics Systems, vol. 28 no. 2, pp. 383-386, April, 1992.

  131. "Nonlinear Shift Registers that Produce all Vectors of Weight <t ", with R. Peile and H. Taylor, IEEE Transactions on Information Theory, vol. IT-38, no. 3, pp. 1181-1183, May 1992.

  132. "Periods of de Bruijn Sequences", Advances in Applied Mathematics, vol. 13, no. 2, pp. 152-159, June 1992.

  133. "The T4 andG4 Constructions for Costas Arrays",with H. Taylor, IEEE Transactions on Information Theory, vol. IT-38, no. 4, pp. 1404-1406, July 1992.

  134. "Probability, Information Theory, and Prime Number Theory", Discrete Mathematics, vol. 106/107, pp. 219-229, September 1, 1992.

  135. "An Identity for (
    2n
    n
    )    ", American Mathematical Monthly, vol. 99, no. 8, pp. 746-748, October 1992.

  136. "Progressions in Every Two-Coloration of Zn," Journal of Combinatorial Theory (Series A), with H.-Y. Song and H. Taylor, vol. 61, no. 2, pp. 211-221, November 1992.

  137. "Characterization of Generators for Modified de Bruijn Sequences", with G. Mayhew, Advances in Applied Mathematics, vol. 13, no. 4, pp. 454-461, December 1992.

  138. "Polyphase Sequences with Low Autocorrelations", with N. Zhang, IEEE Trans. on Information Theory, vol. IT-39, no 3, pp. 1085-1089, May 1993.

  139. "On Non-Periodic Cyclic Equivalence Classes of RS Codes", with I.S. Reed and H.Y. Song, IEEE Trans. on Information Theory, vol. IT-39, no. 4, pp. 1431-1435, July, 1993.

  140. "Generalized Welch-Costas Sequences and Their Application to Vatican Arrays" (with H.-Y. Song), Contemporary Mathematics, vol. 168, 1994, pp. 341-351.

  141. "Some New Constructions for Simplex Codes" (with H.-Y. Song), IEEE Trans. on Information Theory, vol. 40, no. 2, March, 1994, pp.504-507.

  142. "On the Existence of Cyclic Hadamard Difference Sets" (with H.-Y. Song), IEEE Trans. on Information Theory, vol. 40, no. 4, July, 1994, pp. 1266-1268.

  143. S.W. Golomb (with N. Chang), "On n-Phase Barker Sequences," IEEE Trans. on Information Theory, vol. 40, no. 4, July, 1994, pp. 1251-1253.

  144. S.W. Golomb "A Powerful Procedure for Proving Practical Propositions", Mathematics Magazine, vol. 67, no. 5, December 1994, p. 383.

  145. "An Octomino of High Order'' (with K.A. Dahlke and H.Taylor), Journal of Combinatorial Theory, Series A vol. 70, no. 1, April, 1995, pp. 157-158.

  146. "Tiling Problems and Polyominoes", at Gathering for Gardner, Atlanta, GA, January, 1996.

  147. "Tiling Rectangles with Polyominoes", Mathematical Intelligencer, vol. 18, no. 2, Spring, 1996, pp. 38-47.

  148. "Constructions of Cyclic Hadamard Difference Sets", at Information Theory Workshop, Haifa, Israel, June, 1996.

  149. "On the Longest Cycle of a Random Permutation", (with P. Gaal), Fourth Petrozavodsk Conference on Applications of Probability to Discrete Mathematics, Petrozavodsk, Russia, June, 1996 Full text to appear in Hard-bound volume of the conference papers.

  150. "On the Factorization of Jevons' Number", Cryptologia, vol. XX, no. 3, July, 1996, PP. 243-244.

  151. "7200-phase Generalized Barker Sequences", (With N. Chang), IEEE Trans. on Information Theory, vol. IT-42, no. 4, July, 1996, PP. 1236-1238.

  152. Unsolved Problems Related to Shift Register Sequences", Zierlerfest, Princeton, NJ, September 1996.

  153. "On Periodicity Properties of Costas Arrays and a Conjecture on Permutation Polynomials", (with Oscar Moreno), IEEE Trans. on Information Theory, vol. IT-42, no. 6, November,1996, PP. 2252-2253.

  154. "Methanococcus Genome", Letter published in SCIENCE, vol. 274, no. 5289, Nov. 8, 1996, p. 902.

  155. "A Symmetry Criterion for Conjugacy in Finite Groups", Mathematics Magazone, vol. 69, no. 5, December, 1996, pp. 373-375.

  156. "A Symmetry Criterion for Conjugacy in Finite Groups," Mathematics Magazine.

  157. "On the Factorization of Jevons' Number", CRYPTOLOGIA.

  158. "Tiling Rectangles with Polyominoes", Mathematical Intelligencer.

  159. "7200-phase Generalized Barker Sequences", (with Ning Chang), IEEE Trans. on Information Theory.

  160. "On periodicity properties of Costas arrays and a conjecture on permutation polynomials", (with Oscar Moreno), IEEE Trans. on Information Theory.

  161. "A conjecture on the existence of cyclic Hadamard difference sets", (with H.Y. Song), Journal of Statistical Planning and Inference.

  162. "The Polynomial Model in the Study of Counterexamples to S. Piccard's Theorem", (with G. Yovanof), Ars Combinatoria.

  163. "The Early History of Planetary Radar", Proceedings of the IEEE.

Chapters in Bound Volumes (Convention Records and Anthologies)

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  1. "Mathematical Theory of Discrete Classification", in Information Theory, Proceedings of the Fourth (1960) London Symposium Colin Cherry, Editor, Butterworth, London, 1961.

  2. "Arithmetica Topologica", Proceedings of the (1961) Prague Symposium on General Topology and Its Applications, Academia, Prague, 1962.

  3. "Efficient Coding for the Desoxyribonucleic Channel", Proceedings of Symposia in Applied Mathematics vol. XIV, Mathematical Problems in the Biological Sciences American Mathematical Society, Providence, Rhode Island, 1962.

  4. "The Information Generating Function of a Probability Distribution", Transactions of the Fourth Prague Conference (1965) on Information Theory Academia, Prague, 1967.

  5. "Coding Problems of Adaptive Telemetry", Proceedings of the Symposium (1966) on Adaptive Telemetry, Goddard Space Flight Center, February, 1966.

  6. "Ferreting Signals Out of Noise", in Modern Science and Technology, D. Van Nostrand Company, Inc., 1966.

  7. "Irreducible Polynomials, Synchronization Codes, Primitive Necklaces, and the Cyclotomic Algebra", Combinatorial Mathematics and Its Applications, edited by R.C. Bose and T.A. Dowling, University of North Carolina Press, Chapel Hill, 1969.

  8. "Algebraic Coding and the Lee Metric", (with L.R. Welch), Error Correcting Codes, edited by H.B. Mann, John Wiley \& Sons, New York, 1968.

  9. "Combinatorial Aspects of Automated Design", Proceedings of the Third (1966) SHARE Design Automation Workshop, New Orleans, May, 1966.

  10. "On the Generation of Periodic Pulse Patterns", Proceedings of the First Users' Conference (1960) on Dynamic Digital Logic, Computer Control Co., Inc., Framingham, Massachusetts, 1960.

  11. "Extraterrestrial Linguistics", The Coming of the Space Age, edited by Arthur C. Clarke, Meredith Press, New York, 1967.

  12. "Chapter 1" of Principles of Speech Communications, Sixth Brief Edition, by Monroe and Ehninger; Scott, Foresman and Company, 1969.

  13. "Data Processing and Its Relation to the Communication of Deep- Space Experiments", Progress in Radio Science, 1960-1963 vol. VIII, Edited by Ken-Ichi Maeda and Samuel Silver, Elsevier Publishing Co., Amsterdam, 1965.

  14. "Sphere Packing, Coding Metrics and Chess Puzzles", Ch. 16 of the Proceedings of the Second Chapel Hill Conference on Combinatorial Mathematics and Its Applications, University of North Carolina Press, August, 1970.

  15. "Perfect Codes in the Lee Metric and the Packing of Polyominoes, (with L.R. Welch), Ch. 16 of Studies in Applied Mathematics 4, SIAM, 1970.

  16. "Numbering the Nodes of a Graph", a chapter in the book Computing and Graph Theory, edited by R.C. Read, June 1972.

  17. "Theory and Applications of Finite Fields", Proceedings of the XXth Conference of Army Mathematicians, May, 1974.

  18. "Counter-Example to the Crystallographic 'Theorem' of S. Piccard", 1976 Winter Meeting, American Crystallographic Association, Clemson, South Carolina, January, 1976 (with G.S. Bloom).

  19. "Some Problems of Numbered Graphs", Fourth Soviet International Symposium on Information Theory, Repino, USSR, June, 1976.

  20. "Practical Applications of Numbered Graphs", International Symposium on Information Theory, Ronneby, Sweden, June, 1976.

  21. "The Multifarious Applications of Numbered Graphs", Second Carribean Conference on Graph Theory, Combinatorics and Computing, Barbados, January, 1977.

  22. "Numbered Complete Graphs, Unusual Rulers, and Assorted Applications", International Conference on the Theory and Applications of Graphs, Kalamazoo, Michigan, May, 1976 (with G.S. Bloom).

  23. "The Role of Ranging Experiments in Space Exploration", General Session of the May, 1960, Meeting of the U.R.S.I., Washington, D.C.

  24. "Data Processing and Its Influence on the Design and Communication of Experiments:, Proceedings of the Symposium on Signal Statistics, Seattle, December, 1963.

  25. "Multi-Laminar Graphs", (with M.N. Weindling), Douglas Paper No. 3594, September, 1965.

  26. "The Uses and Limitations of Mathematical Models", Proceedings of the February, 1966 Winter Convention (WINCON) of the PG-MIL IEEE, Los Angeles, California.

  27. "On the Classification of Boolean Functions", Proceedings of the 1959 Symposium on Circuits and Information Theory, Los Angeles.

  28. "The Venus Radar Experiment", Convention Record of the British Institution of Radio Engineers, Oxford, 1961.

  29. "Data Processing and the Design of Experiments", Proceedings of the URSI Symposium on Signal Statistics, Seattle, 1963.

  30. "Close-Packed Codes in the Lee Metric, and Tiling with Polyominoes", SIAM Symposium on Applied Combinatorial Mathematics, Santa Barbara, 1967.

  31. "Numbering the Nodes of a Graph", Symposium on Combinatorial Analysis and Computing, Kingston, Jamaica, 1969.

  32. "Synchronization Panel", Symposium on Real Channels IEEE Winter Meeting, New York, 1963.

  33. "Sets of Interchangeable, Efficient Rulers", Second Caribbean Conference on Graph Theory, Combinatorics, and Computing. (Paper read by co-author G.S. Bloom.) Barbados, West Indies, January 4, 1977.

  34. "Correlation Properties and Aperiodic Sequences, and Applications to Multi-User Systems", Proceedings of the NATO Advanced Study on Multi-User Communications, Norwich, England, August, 1980. New Concepts in Multi-User Communication J.K. Skwirzynski, ed.

  35. "The University as an Intellectual Community - Ethical and Moral Issues", Proceedings of the USC FASTEN Conference, October, 1980, 10 pages.

  36. "Advances in Micro-Electronics - A Twenty-Year Technology Forecast", Proceedings of the Pacific Forum Symposium: Emerging Trends in Trade, Finance, Technology and Economic Growth, Bangkok, Thailand, November, 1981, 17 pages. Sijthoff & Noordhoff, 1981, pp. 161-197.

  37. "Shift Register Sequences - Solved and Unsolved Problems", Shannon Lecture, International Symposium on Information Theory Brighton, England, June, 1985.

  38. "Probability Distributions on the Integers and Formulas for Primes", London Symposium on Analytic Number Theory July, 1985.

  39. "Tuscan Squares", Tenth British Conference on Combinatorial Analysis Glasgow, Scotland, July, 1985.

  40. "Constructions and Properties of Tuscan Squares," invited paper, Eleventh British Combinatorial Conference Goldsmith's College, London, July, 1987.

  41. "Communications Applications of Combinatorial Designs," invited paper, XXII General Assembly of the URSI Tel Aviv, Israel, August-September, 1987.

Major Lectures

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  1. "Geometry of Coding", National Telemetry Conference April, 1970, Los Angeles, California.

  2. "Error-Correcting Codes for Improved Reliability of Data Storage", National Computer Conference May, 1975, Anaheim, California.

  3. "Communications in the Year 2000", TRW Guest Lecture Series - Inaugural Lecture for Spring 1976 March 29, 1976.

  4. Lecture Series (3 lectures) at University of Alaska, Fairbanks, Alaska, March 31-April 2, 1976.

  5. "Some Problems of Numbered Graphs", Fourth Soviet International Symposium on Information Theory Repino, USSR, June 16, 1976.

  6. "Practical Applications of Numbered Graphs", International Symposium on Information Theory Ronneby, Sweden, June 22, 1976.

  7. "Reflections on the Genetic Coding Problem", After-Dinner Address on the occasion of Sir Francis Crick's Sauffer Lecture at USC December 8, 1976.

  8. "Sets of Interchangeable, Efficient Rulers", Second Caribbean Conference on Graph Theory, Combinatorics, and Computing . (Paper read by co-author G.S. Bloom.) Barbados, West Indies, January 4, 1977.

  9. "Tiling Patterns and Unusual Rep-Tiles", Special Session on Tilings, Patterns, and Symmetrics, American Math. Soc. Summer Meeting Seattle, Washington, August 17, 1977.

  10. "Explicit Twin Prime Formulas", Special Session on Combinatorial Number Theory, American Math. Soc. Summer Meeting Seattle, Washington, August 18, 1977.

  11. "Limitations of Mathematical Models", address to the Western Simulation Council of the Society for Computer Simulation Los Angeles, October 18, 1977.

  12. "Ethical Concerns of a Mathematician", address to the USC Round Table October 27, 1977.

  13. "Two Problems in Diophantine Approximation", address to the Western Number Theory Conference held at UCLA, December 17, 1977.

  14. "Explicit twin prime formulas", Notices of the American Math. Soc. Vol. 24, No. 5, August 1977, p. A-457.

  15. "Tiling patterns and unusual rep-tiles", Notices of the American Math. Soc. Vol. 24, No. 5, August 1977, p. A-452.

  16. "Block Coding Techniques for Satellite Channels", meeting of the International Union of Radio Science Helsinki, Finland, August, 1978.

  17. "Two-Dimensional Arrays with Distinctness Constraints", International Congress of Mathematicians Helsinki, Finland, 1978.

  18. "Sources which maximize the choice of a Huffman coding tree", Abstracts of the International Symposium on Information Theory, Grignano, Italy, June, 1979.

  19. "Iterated Binomial Coefficients", Notices of the American Mathematical Society for AMS meeting, November, 1979, at Riverside, California.

  20. "Sources which maximize the choice of a Huffman coding tree", International Symposium on Information Theory, Grignano, Italy, June, 1979.

  21. "Classification of Binary Sequences of Period 2n-1", International Symposium on Information Theory, Grignano, Italy, June, 1979.

  22. "Iterated Binomial Coefficients", Special Session on Combinatorial Analysis, American Mathematical Society Meeting, Riverside, California, November, 1979.

  23. "Block Coding Techniques for Satellite Channels", URSI Meeting, Helsinki, Finland, August, 1978.

  24. "Two Dimensional Arrays with Distinctness Constraints", International Congress of Mathematicians, Helsinki, Finland, August, 1978.

  25. "The Case for Faculty Consulting", Conference on Higher Education, held at USC in January, 1978.

  26. Seminar lecture on "Problems of Source Coding", Jet Propulsion Laboratory, August 17, 1979.

  27. Mathematics Colloquium lecture on "Properties of Binomial Coefficients", at the Claremont Colleges, September 12, 1979.

  28. "A Selective Update on Shift Register Sequences", Conference Proceedings of International Symposium on Information Theory, February, 1981.

  29. "Cycles of Random Permutations", invited lecture at the American Math. Soc. Meeting in Reno, Nevada, April, 1981.

  30. "Probability, Information Theory, and Prime Number Theory", invited one-hour lecture at the International Symposium on Information Theory Budapest, Hungary, August, 1981.

  31. "Scientific Applications of Rubik's Cube", invited lecture to the New York Academy of Sciences November, 1981.

  32. "The Role of Microprocessors in Communication", invited lecture to NATO Advanced Study Institute, Chateau de Bonas, France, July, 1983.

  33. "Construction of Frequency Hop Patterns", invited lecture to IEEE Information Theory Workshop Caesarea, Israel, July 3, 1984.

  34. "Information and Control in Management Systems", invited lecture to TIMS Twenty-sixth International Meeting Copenhagen, Denmark, June 10, 1984.

  35. "Frequency Hop Patterns with Thumb-Tack Ambiguity Functions", invited lecture to XXIst General Assembly of U.R.S.I. Florence, Italy, August 29, 1984.

  36. "Mathematical Games and Puzzles as Scientific Models", invited lecture to Sigma Xi Annual Meeting at USC, May 4, 1984.

  37. "The Characterization of PN Sequences", invited lecture to USC-ARO Research Review at USC, October 25-26, 1984.

  38. "Keynote address", EE/Systems Technical Review, Spring, 1985.

  39. "Two lectures", at University of Southampton (England), July, 1985.

  40. "Communications - Past and Future", UCLA Communications Conference, December, 1985.

  41. "Tuscan Squares", (co-authored with Herbert Taylor), at the International Symposium on Information Theory, Brighton, England, June, 1985.

  42. Two-hour lecture on "Geometric Tiling" to gifted high-school mathematics students and their teachers, Special Summer Institute at Chapman College, August, 1987.

  43. Keynote address on"Recreational Mathematics" at the Computer Science - Computer Engineering Research Review, USC, October, 1987.

  44. Talk on "Geometric Puzzles" at the International Puzzle Exhibit, Craft and Folk Art Museum, Los Angeles, March, 1987.

  45. Invited talk at Mathematics Seminar, Polytechnic of the South Bank, London, England, March, 1987.

  46. Invited lecture, Guest Lecturer Series, Lincoln Laboratories, Lexington, Massachusetts, May, 1987.

  47. Keynote welcoming address on "Invention and Innovation" at the Inventors' Workshop, April, 1988, Los Angeles, co-hosted by USC and the U.S. Department of Commerce.

  48. "Applications of Costas Arrays and Tuscan Squares", ONR-sponsored Workshop on Statistical Programs, Clemson, SC, August, 1988.

  49. "Reflections of a Mathematician", invited luncheon address, Math. Association of America Meeting, Claremont-McKenna College, November, 1988.

  50. "Tiling Problems, Solved and Unsolved", USC Math. Colloquium lecture, December, 1988.
  51. "Algebraic Constructions of Frequency Hop Patterns", technical presentation at the Symposium on Applications of Algebra to Error-Correcting Codes Toulouse France, June 25 - July 1, 1989.

  52. "Constructions for Costas Arrays", 4th Nordic Symposium on Discrete Mathematics, 14-16 June, 1990, Frederikshavn, Denmark.

  53. "Periods and Frequencies of Runs in Binary Sequences", Special Session on Statistics of Sequences, American Mathematical Society Meeting, November 1-4, 1990, Denton, Texas.

  54. "N-Phase Barker Sequences'' (with N. Zhang), 1990 International Symposium on Information Theory and Its Applications, November 27-30, 1990, Honolulu, Hawaii.

  55. "Fast Decorrelation Algorithm for Permutation Arrays", (with G.S. Yovanof), SPIE's 1990 International Symposium on Optical and Optoelectronics Applied Science and Engineering, 8-13 July, 1990, San Diego, CA. Vol. SPIE-1347, 1990, pp. 462-473.

  56. "Construction of Costas Arrays for Radar and Sonar", Tel Aviv University, January 29, 1990.

  57. "Tuscan Squares, Florentine Squares, and Frequency Hop Communications", Tel Aviv University, February 5, 1990.

  58. "Shift Register Sequences", Tel Aviv University, February 12, 1990.

  59. "Properties and Applications of Costas Arrays", The Technion (Haifa, Israel), February 15, 1990.

  60. "Tiling Rectangles with Polyominoes", The Weizmann Institute (Rehovot, Israel), February 19, 1990.

  61. "Shift Register Sequences -- Solved and Unsolved Problems",' University of Bergen (Norway), June 12, 1990.

  62. "Theory and Application of Costas Arrays", Polytechnic of the South Bank, (London, England), July 2, 1990.

  63. "Radar Signal Patterns from Combinatorial Designs", invited hour address, Thirteenth British Combinatorial Conference Guildford, England, July, 1991. Refereed and published by Cambridge University Press in Surveys in Combinatorics, 1991 . (Only 9 invited papers were included for publication.)

  64. "Error Correcting Codes and the Genome Project", invited hour address at the (First) Telluride Conference on the Mathematics of Genome Sequencing . Refereed and accepted for publication in Computers and Chemistry . To appear in vol. 16, no. 2, 1992.

  65. "Early History of Planetary Radar", invited keynote talk at the Caltech Symposium to Commemorate the Thirtieth Anniversary of Planetary Radar. October, 1991.

  66. "Applications of Probability to Number Theory", Proceedings of the Third Petrozavodsk Conference on Applications of Probability to Discrete Mathematics TVP Science Publishers, Moscow, Russia, 1992.

  67. "Probability, Information Theory, and Prime Number Theory", Proceedings of the Symposium on Discrete Mathematics and Its Applications, Veldhoven, the Netherlands, Elsevier Scientific Publishers, 1992.

  68. USC Annual Distinguished Faculty Lecture April 29, 1992, "Spanning Rulers - From Mathematical Theory to Important Applications".

  69. Third Petrozavodsk (Russia) Conference on Applications of Probability to Discrete Mathematics . May 11-16, 1992. "Applications of Probability to Number Theory", May 13, 1992.

  70. Joint Mathematical Conference, London Mathematical Society and American Mathematical Society Cambridge, England, June 29-July 3, 1992. "Design of Sequences with Perfect Two-Level Autocorrelation", July 1, 1992.

  71. Symposium on Discrete Mathematics and Its Applications (In honor of J.H. van Lint's sixtieth birthday), August 30 to September 3, 1992. "Probability, Information Theory, and Prime Number Theory," September 1, 1992.

  72. Applied Mathematics Colloquium, University of Southern California April 20, 1992. "Mathematical Theory of Spanning Rulers,"

  73. Mathematics Seminar, University of Braunschweig, Germany May 22, 1992. "Applications of Combinatorial Designs in Communications."

  74. "A Powerful Procedure for Proving Practical Propositions," Proceedings of the Conference in Honor of Martin Gardner's Seventieth Birthday Atlanta, GA, January 15-16, 1993.

  75. "Equality Among Number-Theoretic Functions," Notices of the American Mathematical Society Meeting No. 882, de Kalb, Illinois, May 20-23, 1993.

  76. "Existence and Construction of Cyclic Hadamard Difference Sets," Fourteenth British Combinatorial Conference Keele University (U.K.), July 5-9, 1993.

  77. "Long Polyphase Sequences with Good Aperiodic Autocorrelation", Proceedings of the 2nd International Symposium on Commmunication Theory and Applications; Ambleside, England; July 12-16, 1993.

  78. "Golomb Rulers, with Applications to Radio Astronomy", University of Gšttingen (Germany), June 24, 1993.

  79. "Theory and Applications of Spanning Rulers", Center for Communications Research, La Jolla, CA, July 29, 1993.

  80. "Spanning Rulers -- from Mathematical Recreation to Important Applications", The Rand Corporation, Santa Monica, CA, August 26, 1993.

  81. ''On Periodicity Properties of Costas Arrays and a Conjecture on Permutation Polynomials", (with Oscar Moreno) Proceedings of the 1994 International Symposium on Information Theory, Trondheim, Norway, June 27 - July 1, 1994, p. 361.

  82. "Design of Signals with Favorable Correlation Properties", Proceedings of the 1994 International Symposium on Information Theory, Trondheim, Norway, June 27 - July 1, 1994, p. 279.

  83. "Two-dimensional Patterns with Optimal Auto- and Cross-Correlation Functions", (with Hong-Y. Song), Proceedings of the 1994 International Symposium on Information Theory, Trondheim, Norway, June 27 - July 1, 1994, p. 362.

  84. "Shift-Register Sequences and Spread-Spectrum Communications", Keynote Address, IEEE Third International Symposium on Spread Spectrum Techniques \& Applications Oulu, Finland, July 4-6, 1994. (Extended Abstract published in Conference Program.)

  85. Claremont Graduate School "Tilings with Polyominoes", April 27, 1994.

  86. University of Turku, Turku, Finland, "Constructions for Cyclic Hadamard Matrices", July 7, 1994.

  87. "The Use of Combinatorial Structures in Communication Signal Design", IMA Conference on the Applications of Combinatorial Mathematics Wadham College, Oxford, U.K., December 14-16, 1994. (Extended Abstract published in Conference Program.)

  88. "The Use of Combinatorial Structures in Communication Signal Design", Proceedings of the IMA Conference on the Applications of Combinatorial Mathematics, C. Mitchell, Editor, 1995.

  89. "Roots of Polynomials Corresponding to Generalized Barker Sequences", Seventh Joint Swedish-Russian International Information Theory Workshop Lahta (near St. Petersburg), Russia, June, 1995.

  90. "Applications of Combinatorial Designs in Communications", International Conference on Industrial and Applied Mathematics (ICIAM-95) Hamburg, Germany, July, 1995.

  91. "Extermal Polyphase Sequences", International Conference on Information Theory Whistler, B.C., Canada, September, 1995.

  92. "The Future of Communications", Dubna International University Russia, December, 1995.

  93. Several talks on "Tilings" and "Polyominoes" to high school, college, and other "general" audiences in 1995.

  94. Caltech "Systems Group Seminar" talk on "Polyominoes and Tilings", April 26, 1995.

Major Book Reviews

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  1. E. Beckenbach (editor), Applied Combinatorial Mathematics, Econometrica, 1965.

  2. Hans Freudenthal, LINCOS, Math. Reviews, 1961.

  3. L.R. Ford & D.R. Fulkerson, Flows in Networks, Math. Reviews, 1964.

  4. K. Rektorys (editor), Surveys of Applicable Mathematics, Astronautics Aeronautics, 1969.

  5. McGraw-Hill Book Co. Editorial Staff, Encyclopedia of Science & Technology, McGraw-Hill, 1971, Astronautics & Aeronautics.

  6. L.F. Borodin, Einfuhrung in die Theorie der Storsicheren Kodierung, Math. Reviews, 1975.

  7. D.R.Hofstadter (Reviewed jointly with Max Delbruck), Pun and Games: a review of "Godel, Escher, Bach: an Eternal Golden Braid", The American Scholar, vol.49, no. 4, pp. 550-556, Autumn 1980.

  8. E.R.Berlekamp, J.H.Conway, & R.K.Guy, Winning Ways, Bull. Am. Math. Soc., 1982.

  9. E.R. Berlekamp, J. H. Conway & R. K. Guy, Winning Ways - For Your Mathematical Plays, Bull. Am. Math. Soc. (New Series), vol. 8, no. 1, pp. 108-111, Jan.1983.

  10. B. Grunbaum & G.C. Shephard, Tilings and Patterns, Amer. Math Monthly, pp. 63-64, Jan. 1988.

Other Publications

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  1. Portions of Martin Gardner's Mathematical Games column in various issues of Scientific American.

  2. Numerous Problems and Solutions in several publications, principally the American Mathematical Monthly .

Books

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  1. DIGITAL COMMUNICATIONS WITH SPACE APPLICATIONS, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. [Portions also authored by L. Baumert, M. Easterling, J. Stiffler, and A. Viterbi.]

  2. DIGITAL COMMUNICATIONS WITH SPACE APPLICATIONS, Revised Edition, Peninsula Publishing Co., January, 1982.

  3. Chapters XI, XII, and XIII in MIND FROM MATTER, a volume written in tribute to the late Max Delbruck, and based on an outline and extremely sketchy notes which he left behind. Overall editor: Prof. Gunther Stent, Biology Dept., UC-Berkeley. My three chapters deal with Set Theory, Number Theory, and Mathematical Logic. This book has appeared, in 1985, in both an English Language edition (Blackwell Scientific Publishers) and a German language edition.

  4. Chapter in UNDERSTANDING COMPUTERS: MEMORY AND STORAGE, on Error-Correcting Codes, 1987. (This is a TIME-LIFE Book.)

  6. SHIFT REGISTER SEQUENCES, Holden-Day, Inc., San Francisco, 1967. [Portions co-authored by L. Welch, R. Goldstein, and A. Hales.]

  7. SHIFT REGISTER SEQUENCES, Revised Edition, Aegean Park Press, May, 1982.

  8. BASIC CONCEPTS IN INFORMATION THEORY AND CODING, Plenum Publishers,, 1994. [Co-authored with R.E. Peile and R.A. Scholtz.]

  9. First chapter (about 40 pages) in Surveys in Combinatorics, 1991. Edited by A.D. Keedwell, London Math. Soc. Lecture Note Series 166, Cambridge University Press, 1991.

  10. POLYOMINOES - PUZZLES, PATTERNS, PROBLEMS, AND PACKINGS, Princeton University Press, 1994. (An extensively revised, updated and expanded edition. The original edition was published in 1965.)

Public Policy Publications

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  1. Golomb, S.W., "Patient Etiquette", Saturday Review/Science, May, 1973.

  2. Golomb, S.W., "Behavior for Patients", Intellectual Digest, December, 1973.

  3. Golomb, S.W., "Faculty Consulting - Should it be Curtailed", The National Forum, Fall, 1979.

Recreational Mathematics Publications

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  1. Golomb, S.W., "Replicating Figures in the Plane", Mathematical Gazette, December, 1964.

  2. Golomb, S.W., "Geometric Proof of a Famous Identity", Mathematical Gazette, May, 1965.
  3. Golomb, S.W., "Dominoes, Pentominoes, and Checkerboards", Recreational Mathematics Magazine, August, 1965.

  4. Golomb, S.W., "Patterns and Polyominoes" Recreational Mathematics Magazine, October, 1961.

  5. Golomb, S.W., "Where Pentominoes Will Not Fit", Recreational Mathematics Magazine, December, 1961.

  6. Golomb, S.W., "Extensions of Polyominoes", Recreational Mathematics Magazine, April, 1962.

  7. Golomb, S.W., "Mathematical Games Column", Scientific American, May, 1957.

  8. Golomb, S.W., "Mathematical Games Column", Scientific American, December, 1957.

  9. Golomb, S.W., "Mathematical Games Column", Scientific American, November",1960.

  10. Golomb, S.W., "Mathematical Games Column", Scientific American, December, 1960.

  11. Golomb, S.W., "Mathematical Games Column", Scientific American, May, 1963.

  12. Golomb, S.W., "Mathematical Games Column", Scientific American, October, 1965.

  13. Golomb, S.W., "Mathematical Games Column", Scientific American, October, 1967.

  14. Golomb, S.W., "Mathematical Games Column", Scientific American, March, 1972.

  15. Golomb, S.W., "Mathematical Games Column", Scientific American, August, 1975.

  16. Golomb, S.W., "Of Knights and Cooks, and the Game of Checkers", Journal of Recreational Mathematics, July, 1968.

  17. Golomb, S.W., "Paths on Arrays of Dots", Journal of Recreational Mathematics, July, 1968.

  18. Golomb, S.W., "The Periodic Table of the Alphabet", Word Ways - The Journal of Recreational Linguistics, August, 1968.

  19. Golomb, S.W., "Extraterrestrial Linguistics", Word Ways - The Journal of Recreational Linguistics, November, 1968.

  20. Golomb, S.W., "I Call on Professor Osseforp", Harvard Bulletin, March, 1972.

  21. Golomb, S.W., "I Call on Professor Osseforp", Los Angeles Times, pp. Calendar Section, May, 1972.

  22. Golomb, S.W., "Forth and Back and Forth and Back", Intellectual Digest, January, 1973.

  23. Golomb, S.W., "The Final Oral Exam", Harvard Magazine, Vol. 82, No. 5, pp. 19, 55-56, May-June, 1980.

  24. Golomb, S.W., "Megameanings", Johns Hopkins Magazine, August, 1983.

  25. Golomb, S.W., "More Megameanings", Johns Hopkins Magazine, February, 1984.

  26. Golomb, S.W., "Golomb's Gambits", Johns Hopkins Magazine, A regular column in every issue, April, June, August, October, December, 1984.

  27. Golomb, S.W., "Wheels, Life and Other Mathematical Amusements", American Scientist, A Book Review of Martin Gardner's Book, July-August, 1984.

  28. Golomb, S.W., "Amalgamate, Chemist", Word Ways, February, 1984.

  29. Golomb, S.W., Golomb's Gambits appears in each issue of the Johns Hopkins Magazine published six times a year.

  30. Golomb, S.W., Golomb's Puzzle Column appears in each issue of the Newsletter of the Information Theory Group of the IEEE, published quarterly.

  31. Golomb, S. W., Enigma is a puzzle column which appears on Mondays (since October 1, 1987) in the METRO section of the Los Angeles Times. In 1990, Enigma columns appeared on alternate Mondays. (Column discontinued when L.A. Times discontinued its weekly Science Page in early 1992.)

  32. Golomb, S.W., Brain Bogglers is a monthly puzzle column in DISCOVER magazine, to which six submissions have been accepted. (Eight have recently appeared, and three more are scheduled in 1992.)

  33. Golomb, S.W., puzzle column for Reaction Time, an experimental publication for college students of the American Chemical Society which appeared in November, 1990.

  34. Golomb, S.W., Since 1950, a regular and frequent contributor of both Problems and Solutions to the Problems Section of the American Mathematical Monthly.

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