Edgar N. Gilbert - Publications

  1. N-Terminal Switching Circuits, E. N. Gilbert, Bell Sys. Tech. J., 30 (July 1951), pp. 668-688, Monograph 1892..
  2. A Comparison of Signaling Alphabets, E. N. Gilbert, Bell Sys. Tech. J., 31 (May 1952), pp. 504-522, Monograph 1988..
  3. Lattice Theoretic Properties of Frontal Switching Functions, E. N. Gilbert, J. Math. and Phys., 33 (April 1954), pp. 57-67, Monograph 2246..
  4. Optimum Design of Directive Arrays Subject to Random Variations, E. N. Gilbert and S. P. Morgan, Bell Sys. Tech. J., 34 (May 1955), pp. 637-663.
  5. Enumeration of Labelled Graphs, E. N. Gilbert, Canad. J. Math., 8 (1956), pp. 405-411, Monograph 2680..
  6. Knots and Classes of Menage Permutations, E. N. Gilbert, Scripta Mathematica, 22 (1956), pp. 228-233.
  7. Coincidences in Poisson Patterns, E. N. Gilbert and H. O. Pollak, Bell Sys. Tech. J., 36 (July 1957), pp. 1005-1034, Monograph 2858..
  8. An Outline of Information Theory, E. N. Gilbert, Amer. Statistician, 12 (February 1958), pp. 13-19, Monograph 3025..
  9. Gray Codes and Paths on the n-Cube, E. N. Gilbert, Bell Sys. Tech. J., 37 (May 1958), pp. 815-826, Monograph 3059..
  10. On AX and ABX Limens, J. R. Pierce and E. N. Gilbert, J. Acoust. Soc. Amer., 30:7 (July 1958), pp. 593-595.
  11. Random Graphs, E. N. Gilbert, Ann. Math. Statist., 30:4 (December 1959), pp. 1141-1144, Monograph 3488..
  12. Optimal Search Strategies, E. N. Gilbert, J. SIAM, 7 (December 1959), pp. 413-424, Monograph 3644..
  13. Variable Length Binary Encodings, E. N. Gilbert and E. F. Moore, Bell Sys. Tech. J., 38 (July 1959), pp. 933-967, Monograph 3515..
  14. Information Theory, E. N. Gilbert, McGraw-Hill Encycl. of Sci. and Tech., McGraw-Hill, 7 (1960), pp. 99-102.
  15. A Problem in Binary Encoding, E. N. Gilbert, Proc. Symp. in Applied Math, X, Am. Math. Soc. (1960), pp. 291-297.
  16. Synchronization of Binary Messages, E. N. Gilbert, IRE Trans. on Information Theory, IT-6 (September 1960), pp. 470-477, Monograph 3723..
  17. Capacity of a Burst-Noise Channel, E. N. Gilbert, Bell Sys. Tech. J., 39 (September 1960), pp. 1253-1266, Monograph 3683..
  18. Amplitude Distribution of Shot Noise, E. N. Gilbert and H. O. Pollak, Bell Sys. Tech. J., 39 (March 1960), pp. 333-350, Monograph 3515..
  19. Design of Mixed Doubles Tournaments, E. N. Gilbert, Amer. Math. Monthly, 68 (February 1961), pp. 124-131.
  20. Random Plane Networks, E. N. Gilbert, J. SIAM, 9 (December 1961), pp. 533-543, Monograph 4121..
  21. Symmetry Types of Periodic Sequences, J. Riordan and E. N. Gilbert, Illinois J. Math., 5 (December 1961), pp. 657-665, Monograph 2072..
  22. Games of Identification or Convergence, E. N. Gilbert, SIAM J., 4 (January 1962), pp. 16-24.
  23. Random Subdivisions of Space Into Crystals, E. N. Gilbert, Ann. Math. Statist., 33 (September 1962), pp. 958-972.
  24. Functions Which Represent all Integers, E. N. Gilbert, Amer. Math. Monthly, 70 (August-September 1963), pp. 736-8.
  25. Cyclically Permutable Error- Correcting Codes, E. N. Gilbert, IEEE Trans. on Information Theory, IT-9 (July 1963), pp. 175-182.
  26. Masks to Pack Circles Densely, E. N. Gilbert, J. SMPTE, 72 (August 1963), pp. 606-8.
  27. Randomly Packed and Solidly Packed Spheres, E. N. Gilbert, Canad. J. Math., 16 (1964), pp. 286-298.
  28. The Probability of Covering a Sphere With N Circular Caps, E. N. Gilbert, Biometrika, 52 (1965), pp. 323-330.
  29. Latin Squares Which Contain no Repeated Digrams, E. N. Gilbert, SIAM Review, 7 (April 1965), pp. 189-98.
  30. Random Minimal Trees, E. N. Gilbert, J. Soc. Indust. Appl. Math., 13 (June 1965), pp. 376-387.
  31. Energy Reception for Mobile Radio, E. N. Gilbert, Bell Sys. Tech. J., 44 (October 1965), pp. 1779-1804.
  32. A Polygon Problem, E. N. Gilbert, F. W. Sinden and E. R. Berlekamp, Amer. Math. Monthly, 72 (March 1965), pp. 233-241.
  33. Information Theory After 18 Years, E. N. Gilbert, Science, 152 (April 1966), pp. 320-26.
  34. Minimum Cost Communication Networks, E. N. Gilbert, Bell Sys. Tech. J., 46 (1967), pp. 2209-2227.
  35. Surface Films of Needle-Shaped Crystals, E. N. Gilbert, Applications of Undergraduate Mathematics in Engineering, B. Noble (editor), Macmillan, 1967, pp. 329-346.
  36. Steiner Minimal Trees, E. N. Gilbert and H. O. Pollak, SIAM J. Appl. Math., 16 (1968), pp. 1-29.
  37. How Good is Morse Code, E. N. Gilbert, Information and Control, 14 (June 1969), pp. 359-65.
  38. Mobile Radio Diversity Reception, E. N. Gilbert, Bell Sys. Tech. J., 48 (September 1969), pp. 2473-92.
  39. The Digrams of Webster's Unabridged Dictionary, E. N. Gilbert, Word Ways, 2 (November 1969), pp. 215-220.
  40. Codes Based on Inaccurate Source Probabilities, E. N. Gilbert, IEEE Trans. on Information Theory, It-17 (May 1971), pp. 304-314.
  41. The Ways to Build a Box, E. N. Gilbert, The Mathematics Teacher, 64 (December 1971), pp. 689-695.
  42. Inability of Humans to Discriminate Between Visual Textures That Differ Only in Third-Order Statistics \(em Revisited, B. Julesz, H. L. Frisch, L. A. Shepp and E. N. Gilbert, Perception, 2 (1973), pp. 391-405.
  43. Distortion in Maps, E. N. Gilbert, SIAM Review, 16:1 (January 1974), pp. 47-62.
  44. Codes Which Detect Deception, E. N. Gilbert, F. J. MacWilliams and N. J. A. Sloane, Bell Sys. Tech. J., 53:3 (March 1974), pp. 405-424.
  45. Impedance Matching With Lossy Components, E. N. Gilbert, IEEE Trans. on Circuits and Systems, Cas-22 (February 1975), pp. 96-100.
  46. Line-Of-Sight Paths Over Random Terrain, E. N. Gilbert, Bell Sys. Tech. J., 54 (April 1975), pp. 735-765.
  47. Steiner Trees for the Regular Simplex, F. R. K. Chung and E. N. Gilbert, Bull. Inst. of Math. Acad. Sinica, 4 (1976), pp. 313-325.
  48. Estimators for Distances, E. N. Gilbert, J. Appl. Prob., 14 (1977), pp. 260-271.
  49. Doubly Orthogonal Concentrated Polynomials, E. N. Gilbert and D. Slepian, SIAM J. Appl. Math., 8 (April 1977), pp. 290-319.
  50. On Perceptual Analyzers Underlying Visual Texture Discrimination: Part II, T. M. Caelli, B. Julesz and E. N. Gilbert, Biol. Cybernetics, 29:4 (1978), pp. 201-214.
  51. Finding the Lost Chord, E. N. Gilbert, J. Irrep. Res., 24 (1978), pp. 11-12.
  52. Visual Discrimination of Textures with Identical Third-Order Statistics, B. Julesz, E. N. Gilbert and J. D. Victor, Biol. Cybernetics, 31(3) (1978), pp. 137-140.
  53. The Packing Problem for Twisted Pairs, E. N. Gilbert, Bell Sys. Tech. J., 58 (December 1979), pp. 2143-2162.
  54. Random Colorings of a Lattice of Squares in the Plane, E. N. Gilbert, SIAM J. Algebraic and Discrete Methods, 1 (1980), pp. 152-159.
  55. Nyquist, Harry, E. N. Gilbert, Modern Scientists and Engineers, McGraw-Hill, 2 (1980), pp. 369-370.
  56. An Iterative Calculation of Auditorium Reverberation, E. N. Gilbert, J. Acoust. Soc. Amer., 69:1 (1981), pp. 178-184.
  57. Multigram Codes, E. N. Gilbert and C. L. Monma, IEEE Trans. on Information Theory, IT-28 (1982), pp. 346-348.
  58. Reverberation Between Concentric Spheres, E. N. Gilbert, IEEE Trans. on Acoustics, Speech, and Signal Processing, ASSP-30 (1982), pp. 162-166.
  59. Tiling Rectangles with Rectangles, F. R. K. Chung, E. N. Gilbert, R. L. Graham, J. B. Shearer and J. H. van Lint, Mathematics Magazine, 55 (1982), pp. 286-291.
  60. Finding the Lost Chord, E. N. Gilbert, The Best of the Journal of Irreproducible Research, George H. Scherr (editor), Workman Publ., New York, 1983, reprinted, pp. 115-116.
  61. Mathematics, E. N. Gilbert and C. L. Mallows, A History of Engineering and Science in the Bell System, Communications Sciences (1925-1980), AT&T Bell Labs., Chapt. 1 (1984), pp. 1-91.
  62. Dynamic , First-Fit Packings in Two or More Dimensions, E. G. Coffman and E. N. Gilbert, Information and Control, 61 (1984), pp. 1-14.
  63. On the Expected Relative Performance of List Scheduling, E. G. Coffman and E. N. Gilbert, Operations Research, 33 (1985), pp. 548-561.
  64. An Optimal Minimax Algorithm, E. N. Gilbert, Annals of Operations Research, 4 (1985/86), pp. 103-121.
  65. A Continuous Polling System with Constant Service Times, E. G. Coffman and E. N. Gilbert, IEEE Trans. Inf. Th., IT-32 (1986), pp. 584-591.
  66. Polling and Greedy Servers on a Line, E. G. Coffman and E. N. Gilbert, Queueing Systems, 2 (1987), pp. 115-145.
  67. Electrical Tomography, E. N. Gilbert and L. A. Shepp, Open Problems in Communication and Computation, T. Cover and B. Gopinath (editors), 1987, pp. 164-170.
  68. Information Theory, E. N. Gilbert, McGraw Hill Encyclopedia of Science and Technology, 6th Edition, 1987.
  69. Analysis of a Conveyor Queue in a Flexible Manufacturing System, E. G. Coffman, E. Gelenbe and E. N. Gilbert, Performance Review and European J. Op. Res. 35, 1986/1988, pp. 382-392.
  70. Reverberation in Spherical Rooms with Nonuniform Absorption, E. N. Gilbert, Acustica 66, 1988, pp. 275-280.
  71. Surface Roughness in Reverberation, E. N. Gilbert, Acustica 66, 1988, pp. 290-292.
  72. Ray Statistics in Reverberation, E. N. Gilbert, J. Acoust. Soc. Am. 83, 1988, pp. 1804-1808.
  73. Retrials and Balks, E. N. Gilbert, IEEE Trans. Inf. Th., 34 (1988), pp. 1502-1508.
  74. A Solvable Routing Problem, E. N. Gilbert, Networks, 1989, pp. 587-594.
  75. Tandem Conveyor Queues, F. Baccelli, E. G. Coffman and E. N. Gilbert, Probability in the Engineering and Information Sciences, 3 (1989), pp. 517-536.
  76. Optimal Strategies for Scheduling Checkpoints and Preventive Maintenance, E. G. Coffman and E. N. Gilbert, IEEE Transaction on Reliability, 39 (1990), pp. 9-18.
  77. How Things Float, E. N. Gilbert, Am. Math. Monthly, 98 (1991), pp. 201-216.
  78. A Distributed Clustering Process, E. G. Coffman, E. N. Gilbert, P. J. Courtois and P. Piret, J. Appl. Probability, 28 (1991), pp. 737-750.
  79. Scheduling Checks and Saves, L. B. Boguslavsky, A. Y. Kreinin, E. G. Coffman and E. N. Gilbert, ORSA Journal on Computing, 4 (1992), pp. 60-69.
  80. Service by a Queue and a Cart, E. G. Coffman and E. N. Gilbert, Management Science, 38 (1992), pp. 867-883.
  81. Paths through a Maze of Rectangles, E. G. Coffman and E. N. Gilbert, Networks, 22 (1992), pp. 349-367.
  82. Gated, Exhaustive, Parallel Service, S. Browne, E. G. Coffman, E. N. Gilbert and P. E. Wright, Probability in the Engineering and Information Sciences, 6 (1992), pp. 217-239.
  83. The Gated, Infinite-Server Queue: Uniform Service Times, E. G. Coffman, E. N. Gilbert, P. E. Wright and S. Browne, SIAM J. Appl. Math., 52 (1992), pp. 1751-1762.
  84. The Lempel-Ziv Algorithm and Message Complexity, E. N. Gilbert and T. T. Kadota, IEEE Trans. on Information Theory, 38 (1992), pp. 1839-1842.
  85. Increased Information Rate by Oversampling, E. N. Gilbert, IEEE Trans. on Information Theory, 39 (1993), pp. 1973-1976.
  86. A Selection-Replacement Process on the Circle, E. G. Coffman, E. N. Gilbert and P. W. Shor, Annals of Appl. Prob., 3 (1993), pp. 802-818.
  87. Coding with Digits of Unequal Cost, E. N. Gilbert, IEEE Trans. on Information Theory, 41 (1995), pp. 596-600.