List of publications


László Babai

1969

1. L. Babai: Coloring infinite graphs (Hungarian), Matematikai Lapok, 20 (1969), 141-143.

1970

2. L. Babai: Representation of permutation groups by graphs, in:Combinatorial Theory and its Applications (Proc. Conf. Balatonfüred, Hungary, 1969, P. Erdos et al. eds.) Bolyai - North-Holland (1970), 55-80.

1972

3. L. Babai: Automorphism groups of planar graphs I, Discrete Math. 2 (1972), 285-307.

1973

4. L. Babai: Groups of graphs on given surfaces, Acta Math. Acad. Sci. Hung. 24 (1973), 215-221.

5. L. Babai, W. Imrich: On groups of polyhedral graphs, Discrete Math. 5 (1973), 101-103.

6. L. Babai, L. Lovász: Permutation groups and almost regular graphs, Studia Sci. Math. Hung. 8 (1973), 141-150.

7. L. Babai, W. Imrich, L. Lovász: Finite homeomorphism groups of the 2-sphere, in: Topics in Topology (Proc. Conf. Keszthely, Hungary 1972, Á. Császár ed. Bolyai - North-Holland (1973), 61-75.

8. L. Babai, A. Máté: Inner set mappings on locally compact spaces, in: Topics in Topology (Proc. Conf. Keszthely, Hungary 1972, Á. Császár ed. Bolyai - North-Holland (1973), 77-95.

1974

9. L. Babai: Automorphism groups of graphs and edge-contraction, Discrete Math. 8 (1974), 13-20.

10. L. Babai: A remark on contraction of graphs with given group, Acta Math. Acad. Sci. Hung. 25 (1974), 89-91.

11. L. Babai: On the minimum order of graphs with given group, Canad. Math. Bull. 17 (1974), 467-470.

1975

12. L. Babai: Automorphism groups of planar graphs II, in: Infinite and finite sets (Proc. Conf. Keszthely, Hungary, 1973, A. Hajnal et al eds.) Bolyai - North-Holland (1975), 29-84.

13. L. Babai, W. Imrich: Sense preserving groups of polyhedral graphs, Monatshefte Math. 79 (1975), 1-2.

14. L. Babai: Automorphism groups of graphs (Ph. D. dissertation, Hungarian), Hungarian Academy of Sciences 1975, 308 pages.

1977

15. L. Babai: Asymmetric trees with two prescribed degrees, Acta Math. Acad. Sci. Hung. 28 (1977), 193-200.

16. L. Babai: Some applications of graph contractions, J. of Graph Theory 1 (1977), 125-130.

17. L. Babai: Isomorphism problem for a class of point symmetric structures, Acta Math. Acad. Sci. Hung. 29 (1977), 329-336.

18. L. Babai: On the collineation groups of infinite projective and affine planes, J. of Geometry 10 (1977), 138-145.

19. L. Babai: Symmetry groups of vertex transitive polytopes, Geometriae Dedicata 6 (1977), 331-338.

20. L. Babai: On the isomorphism problem, appended to Proc. Conf. FCT'77 (Fundamentals of Computation Theory), Poznan-Kornik 1977 (pp.10)

1978

21. L. Babai: Chromatic number and subgraphs of Cayley graphs, in: Theory and Appl. of Graphs (Y. Alavi and D.R. Lick, eds. ) Springer Lecture Notes in Math. vol. 642 (1978), 10-22.

22. L. Babai: Automorphism group and category of cospectral graphs, Acta Math. Acad. Sci. Hung. 31 (1978), 295-306.

23. L. Babai, P. Frankl: Isomorphisms of Cayley graphs I, in: Combinatorics (Proc. Conf. Keszthely, Hungary, 1976, A. Hajnal and Vera T. Sós, eds.) Bolyai - North-Holland (1978), 35-52.

24. L. Babai, J. Nešetril: High chromatic rigid graphs I, in: Combinatorics (Proc. Conf. Keszthely, Hungary, 1976, A. Hajnal and Vera T. Sós, eds.) Bolyai - North-Holland (1978), 53-60.

25. L. Babai: Embedding graphs in Cayley graphs, in: Probl. Combinatoires et Theorie des Graphes (Proc. Conf. Paris-Orsay 1976, J-C. Bermond et al., eds.) Centre National de Rech. Sci., Paris (1978), 13-15.

26. L. Babai, P. Frankl: Infinite quasigroups with given regular automorphism groups, Algebra Universalis 8 (1978), 310-319.

27. L. Babai: Infinite digraphs with given regular automorphism groups, J. Combinatorial Theory - B 25 (1978), 26-46.

28. L. Babai, F. Pastijn: On semigroups with high symmetry, Simon Stevin 52 (1978), 73-84

29. L. Babai: On a conjecture of M.E. Watkins on graphical regular representations of finite groups, Compositio Math. 37 (1978), 291-296.

30. L. Babai: Vector representable matroids of given rank with given automorphism group, Discrete Math. 24 (1978), 119-125.

1979

31. L. Babai: Tournaments with given (infinite) automorphism group, Periodica Math. Hung. 10 (1979), 99-104.

32. L. Babai: Endomorphisms of sub- and factorsemigroups, in: Algebraic theory of semigroups (Proc. Conf. Szeged, 1976, G. Pollák ed.), Colloq. Math. Soc. J. Bolyai 20 (1979), Bolyai - North-Holland 43-50.

33. L. Babai, P. Frankl, J. Kollár, G. Sabidussi: Hamiltonian cubic graphs and centralizers of involutions, Canad. J. Math. 31 (1979), 458-464.

34. L. Babai, L. Kucera: Canonical labelling of graphs in linear average time, in: Proc. 20th Ann. IEEE Symp. on Foundations of Comp. Sci. (1979), 39-46.

35. L. Babai: Monte Carlo algorithms in graph isomorphism testing, Université de Montréal Tech. Rep. DMS 79-10, 1979 (pp. 42)

36. L. Babai: Long cycles in vertex transitive graphs, J. Graph Theory 3 (1979), 301-304.

37. L. Babai: Spectra of Cayley graphs, J. Comb. Theory B 27 (1979), 180-189.

38. L. Babai, W. Imrich: Tournaments with given regular group, Aequationes Math. 19 (1979), 232-244.

39. L. Babai, P. Frankl: Isomorphisms of Cayley graphs II, Acta Math. Acad. Sci. Hung. 34 (1979), 177-183.

1980

40. L. Babai: On the complexity of canonical labelling of strongly regular graphs, SIAM J. on Computing 9 (1980), 212-216.

41. L. Babai, P. Frankl: On set-intersections, J. Comb. Th.-A 28 (1980), 103-105.

42. L. Babai, M.E. Watkins: Connectivity of infinite graphs having a transitive torsion group action, Archiv der Math. 34 (1980), 90-96.

43. L. Babai, P. Erdos, S.M. Selkow: Random graphs isomorphism, SIAM J. on Computing 9 (1980), 628-635.

44. L. Babai: Almost all Steiner triple systems are asymmetric, in: Topics on Steiner Systems (C.C. Lindner and A. Rosa, eds.), Annals of Discrete Math. 7 (1980), 37-39.

45. L. Babai, A. Pultr: Endomorphism monoids and topological subgraphs of graphs, J. Comb. Theory-B 28 (1980), 278-283.

46. L. Babai: Two remarks on the complexity of graph isomorphism testing, in: Proc. West Coast Conf. on Combinatorics, Graph Th. and Computing (P.Z. Chinn and D. McCarthy, eds.), Humboldt State University 1979, Utilitas Math., Winnipeg (1980), 95-99.

47. L. Babai: Finite digraphs with given regular automorphism groups, Periodica Math. Hung. 11 (1980), 257-270.

48. L. Babai: Isomorphism testing and symmetry of graphs, in: Combinatorics 79 (M. Deza and I.G. Rosenberg, eds.), Annals of Discrete Math. 8 (1980), 101-109.

49. M.E. Adams, L. Babai, J. Sichler: Automorphism groups of finite distributive lattices with a given sublattice of fixed points, Monatsh. Math. 90 (1980), 259-266.

1981

50. L. Babai: Kospektrale Graphen mit vorgegebenen Automorphismengruppen, Wissenschaftliche Zeitschr. der Technischen Hochschule Ilmenau 27/4 (1981), 31-37.

51. L. Babai: Some problems on lattice automorphisms, Studia Sci. Math. Hung. 13 (1978), 139-142.

52. L. Babai: On the abstract group of automorphisms, in: Combinatorics (Proc. 8th British Combinatorial Conf., Swansea 1981, H.N.V. Temperley ed.), London Math. Soc. Lecture Note 52 (1981), Cambridge Univ. Press, 1-40.

53. L. Babai: On the order of uniprimitive permutation groups, Annals of Mathematics 113 (1981), 553-568.

54. L. Babai: Moderately exponential bound for graph isomorphism, in: Fundamentals of Computation Theory (Proc. Conf. FCT'81, Szeged, F. Gécseg ed.), Lecture Notes in Computer Science 117, Springer 1981. 34-50.

55. L. Babai, D. Duffus: Dimension and automorphism groups of lattices, Algebra Universalis 12 (1981), 279-289.

56. L. Babai: On strong embeddings of categories, in: Universal Algebra (B. Csákány and E.T. Schmidt, eds., Proc. Conf. Esztergom 1977), Coll. Math. Soc. J. Bolyai 29 (1981), North-Holland, pp. 37-51.

57. L. Babai, P.J. Cameron, M. Deza, N.M. Singhi: On sharply edge-transitive permutation groups, J. Algebra 73 (1981), 573-585.

58. Babai L.: Prímszámok és titkosírás (Prime numbers and cryptography, in Hungarian), Természet Világa 112. évf. 6. sz. (1981), 250-253.

1982

59. L. Babai: On the order of doubly transitive permutation groups, Inventiones Math. 65 (1982), 473-484.

60. L. Babai, C.D. Godsil: On the automorphism groups of almost all Cayley graphs, Eur. J. Comb. 3 (1982), 9-15.

61. L. Babai, J. Nešetril: High chromatic rigid graphs II, in: "Algebraic and Geometric Combinatorics" (E. Mendelsohn ed.), Annals of Discr. Math. 15 (1982), 55-61.

62. L. Babai, F.R.K. Chung, P. Erdos, R.L. Graham, J. Spencer: On graphs which contain all sparse graphs, in: ``Theory and Practice of Combinatorics'' (A. Rosa, G. Sabidussi, J. Turgeon eds.) Annals of Discrete Math. 12 (1982), 21-26.

63. L. Babai, P. Erdos: Representation of group elements as short products, in: ``Theory and Practice of Combinatorics'' (A. Rosa, G. Sabidussi, J. Turgeon eds.) Annals of Discrete Math. 12 (1982), 27-30.

64. L. Babai, D. Yu. Grigor'ev and D. M. Mount: Isomorphism of graphs with bounded eigenvalue multiplicity, in: Proc. 14th ACM Symp. on Theory of Computing, San Francisco 1982, 310-324.

65. L. Babai, P. J. Cameron and P.P. Pálfy: On the orders of primitive groups with restricted nonabelian composition factors, J. Algebra 79 (1982), 161-168.

66. Babai L., Freud Róbert, Kunfalvy Rezso: Prímszámvadászat számítógéppel, (Hunting for prime numbers with a computer, in Hungarian), Természet Világa 113. évf. 5. sz. (1982), 201-205.

1983

67. L. Babai, E. M. Luks: Canonical labeling of graphs, in: Proc. 15th ACM Symp. Thy. Computing, Boston (1983), 171-183.

68. L. Babai, W. M. Kantor and E. M. Luks: Computational complexity and the classification of finite simple groups, in: Proc. 24th IEEE Symp. Found. Comp. Sci., Tucson AZ (1983), 162-171.

1984

69. L. Babai: Permutation Groups, Coherent Configurations and Graph Isomorphism. D.Sc. Thesis (Hungarian), Hungarian Academy of Sciences, 1984

70. L. Babai, E. Szemerédi: On the complexity of matrix group problems I, in: Proc. 25th IEEE Symp. Found. Comp. Sci., Palm Beach, FL (1984), 229-240.

1985

71. L. Babai: On Lovász' lattice reduction and the nearest lattice point problem, in: Proc. 2nd Ann. Symp. on Theoretical Aspects of Comp. Sci. (STACS 85), Saarbrücken, Springer Lecture Notes in Comp. Sci. 182 (1985), 13-20. (See item 77)

72. L. Babai: Trading group theory for randomness, in: Proc. 17th ACM Symp. on Theory of Computing, Providence RI (1985), 421-429.

73. L. Babai: An anti-Ramsey theorem, Graphs and Combinatorics 1 (1985), 23-28.

74. L. Babai: Arc transitive covering digraphs and their eigenvalues, J. Graph Theory 8 (1985), 363-370.

75. L. Babai, Vera T. Sós: Sidon sets in groups and induced subgraphs of Cayley graphs, Europ. J. Combinatorics (1985), 101-114.

1986

76. M. Ajtai, L. Babai, P. Hajnal, J. Komlós, P. Pudlák, V. Rödl, E. Szemerédi, G. Turán: Two lower bounds for branching programs, Proc. 18th ACM Symp. on Theory of Computing, Berkeley CA 1986, pp. 30-38.

77. L. Babai: On Lovász' lattice reduction and the nearest lattice point problem, Combinatorica 6 (1986), 1-14. (full version of item 71)

78. L. Babai: A Las Vegas -NC algorithm for isomorphism of graphs with bounded multiplicity of eigenvalues, Proc. 27th IEEE Symp. on Foundations of Computer Science, Toronto (1986), 303-312.

79. L. Babai, P. Frankl, J. Simon: Complexity classes in communication complexity theory, Proc. 27th IEEE Symp. on Foundations of Computer Science, Toronto (1986), 337-347.

80. L. Babai: On the length of subgroup chains in the symmetric group, Communications in Algebra 14 (1986), 1729-1736.

81. N. Alon, L. Babai, A. Itai: A fast and simple randomized parallel algorithm for the maximal independent set problem, J. of Algorithms 7 (1986), 567-583.

1987

82. L. Babai: On the non-uniform Fisher inequality, Discrete Math. 66 (1987), 303-307.

83. L. Babai, E.M. Luks, Á. Seress: Permutation groups in NC, in: Proc. 19th ACM STOC, New York 1987, pp. 409-420.

84. L. Babai, Á. Seress: On the degree of transitivity of permutation groups: a short proof, J. Combinatorial Theory-A 45 (1987), 310-315.

85. L. Babai, G. Turán: The complexity of definig a relation on a finite graph, Zeitschr. für Math. Logik und Grundl. der Math. 33 (1987), 277-288.

86. L. Babai, P. Hajnal, E. Szemerédi, G. Turán, A lower bound for read-once-only branching programs, J. Computer and Sys. Sci. 35 (1987), 153-162.

1988

87. L. Babai, Random oracles separate PSPACE from the polynomial-time hierarchy, Information Processing Letters 26 (1987/88), 51-53.

88. L. Babai, Á. Seress: On the diameter of Cayley graphs of the symmetric group, J. Combinatorial Theory-A 49 (1988), 175-179.

89. L. Babai, S. Moran: Arthur-Merlin games: a randomized proof system, and a hierarchy of complexity classes, J. Computer and Sys. Sci. 36 (1988), 254-276.

90. L. Babai: On the non-uniform Ray-Chaudhuri-Wilson inequality, Combinatorica 8 (1988), 133-135.

91. L. Babai, E.M. Luks, Á. Seress: Fast management of permutation groups, IEEE FOCS 29 (1988), 272-282.

92. L. Babai, Bettina Just, F. Meier auf der Heide: On the limits of computations with the floor function, Information and Computation 78 (1988), 99-107.

1989

93. L. Babai, N. Nisan, M. Szegedy: Multiparty protocols and Logspace-hard pseudorandom sequences, in: Proc. 21st ACM STOC, Seattle WA 1989, pp. 1-11. (see item 126)

94. L. Babai: The probability of generating the symmetric group, J. Combinatorial Theory A 52 (1989), 148-153.

95. L. Babai, S. Moran: Proving properties of interactive proofs by a generalized counting technique, Information and Computation 82 (1989), 185-197.

96. L. Babai, L. Rónyai: Computing irreducible representations of finite groups, in: Proc. 30th IEEE FOCS, Research Triangle N.C. (1989), 93-98. (See item 102)

97. L. Babai, W.M. Kantor, A. Lubotsky: Small diameter Cayley graphs for finite simple groups, European J. Comb. 10 (1989), 507-522.

1990

98. L. Babai: E-mail and the unexpected power of interaction, in: Proc. 5th IEEE Structure in Complexity Theory conf., Barcelona 1990, pp. 30-44. (Polish translation: item 151)

99. L. Babai, L. Fortnow, C. Lund: Nondeterministic exponential time has two-prover interactive protocols, in: 31st IEEE FOCS, St. Louis MO, 1990, pp. 16-25. (See item 108)

100. L. Babai, L. Fortnow: A characterization of 1#1 by arithmetic straight line programs, in: 31st IEEE FOCS, St. Louis MO, 1990, pp. 26-34. (See item 109)

101. L. Babai, G. Hetyei, W.M. Kantor, A. Lubotsky, Á. Seress: On the diameter of finite groups, in: 31st IEEE FOCS, St. Louis MO, 1990, pp. 857-865.

102 L. Babai, L. Rónyai: Computing irreducible representations of finite groups, Mathematics of Computation 55 (1990), 705-722. (full version of item 96)

103. L. Babai, P. Pudlák, V. Rödl, E. Szemerédi: Lower bounds to the complexity of symmetric Boolean functions, Theoretical Computer Science 74 (1990), 313-324.

104. L. Babai, M. Simonovits, J. Spencer: Extremal subgraphs of random graphs, J. Graph Theory 14 (1990), 599-622.

1991

105. L. Babai, L. Fortnow, L. A. Levin, M. Szegedy: Checking computations in polylogarithmic time, Proc. 23rd ACM STOC, 1991, pp. 21-31.

106. L. Babai, G. Cooperman, L. Finkelstein, E. M. Luks, Á. Seress: Fast Monte-Carlo algorithms for permutation groups Proc. 23rd ACM STOC, 1991, pp. 90-100.

107. L. Babai: Local expansion of vertex-transitive graphs and random generation in finite groups, Proc. 23rd ACM STOC, 1991, pp. 164-174.

108 L. Babai, L. Fortnow, C. Lund: Nondeterministic exponential time has two-prover interactive protocols, Computational Complexity 1 (1991), 3-40 (full version of item 99)

109 L. Babai, L. Fortnow: Arithmetization: a new method in structural complexity theory, Computational Complexity 1 (1991), 41-67 (full version of item 100)

110. L. Babai, A. J. Goodman, L. Lovász: Graphs with given automorphism group and few edge orbits, Europ. J. Comb. 12 (1991), 185-203.

111. L. Babai, L. Fortnow, N. Nisan, A. Wigderson: BPP has subexponential simulations unless EXPTIME has publishable proofs, Proc. 6th Ann. Conf. on Structure in Complexity Theory, IEEE, Chicago 1991, pp. 213-219.

112. L. Babai, G. Cooperman, L. Finkelstein, Á. Seress: Nearly linear time algorithms for permutation groups with a small base, Proc. ISSAC'91 (Internat. Symp. on Symbolic and Algebraic Computation), Bonn 1991, pp. 200-209.

113. N. Alon, L. Babai, H. Suzuki: Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type inequalities, J. Combinat. Theory-A 58 (1991), 165-180.

114. L. Babai: Vertex-transitive graphs and vertex-transitive maps, J. Graph Theory 15 (1991), 587-627.

115. L. Babai, K. Friedl: Approximate representation theory of finite groups, 32nd IEEE FOCS, Puerto Rico 1991, pp. 733-742.

116. L. Babai: Computational complexity in finite groups, in: Proc. Internat. Congress of Mathematicians, Kyoto 1990, Springer-Verlag, Tokyo 1991, pp.1479-1489.

1992

117. L.Babai: Deciding finiteness of matrix groups in Las Vegas polynomial time, in: Proc. 3rd ACM-SIAM Symp. on Discrete Algorithms, Orlando FL, 1992, pp. 33-40.

118. L. Babai: Bounded round interactive proofs in finite groups, SIAM J. Discr. Math. 5 (1992), 88-111.

119. L. Babai, R. Beals, P. Takácsi-Nagy: Symmetry and complexity, Proc. 24th ACM STOC, 1992, Vancouver B.C., pp. 438-449.

120. L. Babai, M. Szegedy: Local expansion of symmetrical graphs, Combinatorics, Probability, and Computing 1 (1992), 1-11.

121. L. Babai, T. Lengyel: A convergence criterion for recurrent sequences with application to the partition lattice, Analysis 12 (1992), 109-119.

122. L. Babai: Transparent Proofs, FOCUS (MAA Newsletter) 12, No. 3 (June 1992), pp. 1-2.

123. L. Babai: Combinatorial Optimization Is Hard, FOCUS (MAA Newsletter) 12, No. 4 (Sep. 1992), pp. 3/6/18.

124 L. Babai, P. Frankl: Linear Algebra Methods in Combinatorics, with Applications to Geometry and Computer Science, book, Preliminary version 2, University of Chicago 1992, pp. 216.

125. L. Babai, Á. Seress: On the diameter of permutation groups, Europ. J. Comb. 13 (1992), 231-243.

126 L. Babai, N. Nisan, M. Szegedy: Multiparty protocols, pseudorandom generators for Logspace, and time-space trade-offs, J. Comp. Sys. Sci. 45, No. 2 (special issue) (1992), 204-232 (full version of item 93)

127. L. Babai, G. L. Hetyei: On the diameter of random Cayley graphs of the symmetric group, Combinatorics, Probability, and Computing 1 (1992), 201-208.

128. L. Babai, Vera T. Sós: Tibor Gallai, 1912-1992. Combinatorica 12 (1992), 371-372.

1993

129. L. Babai: Transparent (holographic) proofs, in: Proc. 10th Ann. Symp. on Theoret. Aspects of Comp. Sci. (STACS'93), Würzburg (Germany) 1993, Springer Lect. Notes in Comp. Sci. 665 (1993), 525-534.

130. L. Babai, A. J. Goodman, L. Pyber: On faithful permutation representations of small degree, Comm. Algebra 21 (1993), 1587-1602.

131. L. Babai, A. J. Goodman: Subdirectly reducible groups and edge-minimal graphs with given automorphism group, J. London Math. Soc. 47 (1993), 417-432.

132. L. Babai, R. Beals, D. Rockmore: Deciding finiteness of matrix groups in deterministic polynomial time, Proc. ISSAC'93 (Internat. Symp. on Symbolic and Algebraic Computation), Kiev 1993, ACM Press 1993, pp.117-126.

133. L. Babai, K. Friedl, M. Stricker: Decomposition of *-closed algebras in polynomial time, Proc. ISSAC'93 (Internat. Symp. on Symbolic and Algebraic Computation), Kiev 1993, ACM Press 1993, pp. 86-94.

134. L. Babai, A. J. Goodman: On the abstract group of automorphisms. In: ``Coding Theory, Desing Theory, Group Theory'' (D. Jungnickel and S. A. Vanstone, Eds.), Proc. of Marshall Hall Conf., Burlington VT 1990, Wiley 1993, pp. 121-143.

135. L. Babai, E. M. Luks, Á. Seress: Computing composition series in primitive groups. In: ``Groups and Computation'', (L. Finkelstein and W. M. Kantor, eds.), DIMACS Ser. in Discr. Math. and Theor. Comp. Sci. Vol 11, A.M.S. 1993, pp. 1-16.

136. S. Arora, L. Babai, J. Stern, Z. Sweedyk: The hardness of approximate optima in lattices, codes, and systems of linear equations. Proc. 34th IEEE FOCS, 1993, Palo Alto CA, pp. 724-733.

137. R. Beals, L. Babai: Las Vegas algorithms for matrix groups, Proc. 34th IEEE FOCS, 1993, Palo Alto CA, pp. 427-436.

138 L. Babai, L. Fortnow, N. Nisan, A. Wigderson: BPP has subexponential time simulations unless EXPTIME has publishable proofs, Computational Complexity 3 (1993), 307-318 (full version of item 111)

1994

139. L. Babai, L. Pyber: Permutation groups without exponentially many orbits on the power set, J. Combinat. Theory, Ser. A, 66 (1994), 160-168.

140. L. Babai, H. Oral, K. T. Phelps: Eulerian self-dual codes, SIAM J. Discr. Math. 7 (1994), 325-330.

141. L. Babai: Transparent proofs and limits to approximation. In: Proc. First European Congress of Mathematics (1992), Vol. I, Birkhäuser Verlag, 1994, pp. 31-91.

1995

142. L. Babai, P. Kimmel, Satyanarayana V. Lokam: Simultaneous messages vs communication. in: 12th Ann. Symp. on Theoretical Aspects of Comp. Sci. (STACS'95), Munich (E. Mayr, C. Puech, eds.), Lect. Notes in Comp. Sci. Vol. 900, Springer 1995, pp. 361-372.

143. L. Babai, H. Snevily, R. M. Wilson: A new proof of several inequalities on codes and sets, J. Combinat. Theory-A 71 (1995), 146-153.

144. L. Babai, G. Cooperman, L. Finkelstein, E. M. Luks, Á. Seress: Fast Monte Carlo algorithms for permutation groups J. Computer and System Sciences 50 (1995), 296-307. (special issue; full version of item 106)

145. L. Babai: Automorphism groups, isomorphism, reconstruction. Chapter 27 of the Handbook of Combinatorics, R. L. Graham, M. Grötschel, L. Lovász, eds., North-Holland - Elsevier, 1995, pp. 1447-1540.

1996

146. L. Babai, R. Beals, J-y. Cai, G. Ivanyos, E. M. Luks: Multiplicative equations over commuting matrices, in: Proc. 7th ACM-SIAM Symp. on Discrete Algorithms, 1996, pp. 498-507.

147. L. Babai, A. Gál, J. Kollár, L. Rónyai, T. Szabó, A. Wigderson: Extremal bipartite graphs and superpolynomial lower bounds for monotone span programs, in: Proc. 28th ACM STOC, 1996, pp. 603-611.

148. L. Babai: In and Out of Hungary: Paul Erdos, His Friends, and Times. In: ``Combinatorics: Paul Erdos Is Eighty'' (D. Miklós, V. T. Sós, T. Szonyi, ed.) Vol. 2., J. Bolyai Mathematical Society, Budapest, 1996, pp. 7-95.

149. L. Babai: We stare in disbelief 2#2 (Untitled letter on the death of Paul Erdos) Combinatorica 16 (1996), p. 452.

150. L. Babai: Paul Erdos (1913-1996), SIGACT News 27/4 (1996), 62-65.

151 L. Babai: Poczta komputerowa i niezwyk3#3a moc interakcji, Wiadomosci Matematyczne XXXI (1995), 55-80 (appeared Sep. 1996) (Polish translation of item 98.)

1997

152 L. Babai: The growth rate of vertex-transitive planar graphs. In: Proc. 8th Ann. Symp. on Discrete Algorithms, New Orleans LA, ACM--SIAM 1997, pp. 564-573.

153 L. Babai: Randomization in group algorithms: conceptual questions. In: ``Groups and Computation II'' (L. Finkelstein and W. M. Kantor, eds.), DIMACS Ser. in Discr. Math. and Theor. Comp. Sci. Vol 28, A.M.S. 1997, pp. 1-16.

154. L. Babai: Paul Erdos and His Influence on the Theory of Computing, SIAM News 30/1 (1997), p.3.

155. L. Babai: Paul Erdos (1913-1996): His Influence on the Theory of Computing, in: Proc. 29th ACM Symposium on Theory of Computing, 1997, pp. 383-401.

156. L. Babai, P. Kimmel: Randomized simultaneous messages: solution of a problem of Yao in communication complexity. Proc. 12th IEEE Symp. on Computational Complexity, 1997, pp. 239-246.

157. L. Babai, A. J. Goodman, W. M. Kantor, E. M. Luks, P. P. Pálfy: Short presentations for finite groups, J. Algebra 194 (1997), 79-112.

158. L. Babai, A. Goodman, L. Pyber: Groups without faithful transitive permutation representations of small degree. J. Algebra 195 (1997), 1-29.

159. L. Babai, E.M. Luks, Á. Seress: Fast management of permutation groups I, SIAM J. Comput. 26 (1997), 1310-1342 (full version of item 91)

160. S. Arora, L. Babai, J. Stern, Z. Sweedyk: The hardness of approximate optima in lattices, codes, and systems of linear equations. J. Comput. Sys. Sci. 54 (1997), 317-331 (full version of item 136)

161. L. Babai: Communication complexity. In: Math. Foundations of Comp. Sci. 1997, Proc. 22nd Internat. Symp, MFCS'97 (I. Prívara, P. Ruzicka, eds.), Lecture Notes in Computer Science, Vol. 1295, Springer 1997, pp. 5-18.

1998

162. L. Babai (organizer), C. Pomerance, P. Vértesi: The mathematics of Paul Erdos. Notices of the A.M.S. 45/1, January 1998, pp. 19-31.

163. L. Babai: Finite and Transfinite Combinatorics. Part of item 161, pp. 23-28.

164. L. Babai, J. Spencer: Paul Erdos (1913-1996). Notices of the A.M.S. 45/1, January 1998, pp. 64-73.

165. L. Babai: Paul Erdos just left town. Part of item 163, pp. 66-73.

166. L. Babai: The Forbidden Sidetrip. In: People & Ideas in Theoretical Computer Science (C. S. Calude, Ed.), Springer 1998, pp. 1-31.

167. L. Babai, T. Hayes, P. Kimmel: The cost of the missing bit: Communication complexity with help. In: 30th ACM STOC, 1998, pp. 673-682.

168. Babai L.: Magyarországon és a világban: Erdos Pál, barátai, és kora. Természet Világa 129 (1998) III. különszám, pp. 31-36. (Hungarian translation of parts of item 148.)

1999

169. L. Babai, R. Beals: A polynomial-time theory of black box groups I. In: Groups St Andrews 1997 in Bath, I (C.M. Campbell, E.F. Robertson, N. Ruskuc, G. C. Smith, eds.), London Math. Soc. Lect. Notes 260, Cambr. U. Press, 1999, pp. 30-64.

170. L. Babai, A. Gál, A. Wigderson: Superpolynomial lower bounds for monotone span programs. Combinatorica 19 (1999), 301-320. (expanded version of part of item 147)

171. L. Babai, S. Laplante: Stronger separations for random-self-reducibility, rounds, and advice. In: Proc. ``Complexity '99'' (14th Ann. IEEE Conf. on Computational Complexity, Atlanta 1999), IEEE Comp. Soc., 1999, pp. 98-104.

2000

172. L. Babai, I. Pak: Strong bias of group generators: an obstacle to the ``product replacement algorithm.'' In: Proc. 11th Ann. Symp. on Discrete Algorithms,

ACM--SIAM 2000, San Francisco CA, pp.

173. L. Babai, P. J. Cameron: Automorphisms and enumeration of switching classes of tournaments. Electronic J. Comb. 7 (2000), #R38, 24 pp.

Book, chapter of a book, major survey articles


L. Babai, P. Frankl: Linear Algebra Methods in Combinatorics, with Applications to Geometry and Computer Science, book, Preliminary version 2, University of Chicago 1992, pp. 216.


L. Babai: Transparent proofs and limits to approximation. In: Proc. First European Congress of Mathematics (1992), Vol. I, Birkhäuser Verlag, 1994, pp. 31-91.


L. Babai: Automorphism groups, isomorphism, reconstruction. Chapter 27 of the Handbook of Combinatorics, R. L. Graham, M. Grötschel, L. Lovász, eds., North-Holland - Elsevier, 1995, pp. 1447-1540.

Lecture notes


L. Babai: Finite Probability Spaces. (1994. Last update: April 1999.)


L. Babai: The Fourier Transform and Equations over Finite Abelian Groups. (1989)


Popular articles


1. Babai L.: Prímszámok és titkosírás (Prime numbers and cryptography, in Hungarian), Természet Világa 112. évf. 6. sz. (1981), 250-253.

2. Babai L., Freud Róbert, Kunfalvy Rezso: Prímszámvadászat számítógéppel (Hunting for prime numbers with a computer, in Hungarian), Természet Világa 113. évf. 5. sz. (1982), 201-205.

3. L. Babai: E-mail and the unexpected power of interaction, in: Proc. 5th IEEE Structure in Complexity Theory conf., Barcelona 1990, pp. 30-44.

Polish translation:

=.7in Poczta komputerowa i niezwyk3#3a moc interakcji, Wiadomosci Matematyczne XXXI (1995), 55-80 (appeared Sep. 1996)

4. L. Babai: Transparent Proofs, FOCUS (MAA Newsletter) 12, No. 3 (June 1992), pp. 1-2.

5. L. Babai: Combinatorial Optimization Is Hard, FOCUS (MAA Newsletter) 12, No. 4 (Sep. 1992), pp. 3/6/18.

6. L. Babai: Probably True Theorems, Cry Wolf? Notices of the A.M.S. 41 (1994)

7. L. Babai: The Forbidden Sidetrip. In: People & Ideas in Theoretical Computer Science (C. S. Calude, Ed.), Springer 1998, pp. 1-31.


Biographies, obituaries, memorial articles


1. L. Babai, Vera T. Sós: Tibor Gallai, 1912-1992. Combinatorica 12 (1992), 371-372.

2. L. Babai: In and Out of Hungary: Paul Erdos, His Friends, and Times. In: ``Combinatorics: Paul Erdos Is Eighty'' (D. Miklós, V. T. Sós, T. Szonyi, ed.) Vol. 2., J. Bolyai Mathematical Society, Budapest, 1996, pp. 7-95.

Partial Hungarian translation:

=.7in Magyarországon és a világban: Erdos Pál, barátai, és kora. Természet Világa 129 (1998) III. különszám, pp. 31-36.

3. L. Babai: Paul Erdos (1913-1996), SIGACT News 27/4 (1996), 62-65.

4. L. Babai: We stare in disbelief 2#2 (Untitled letter to the death of Paul Erdos) Combinatorica 16 (1996), p. 452.

5. L. Babai: Paul Erdos and His Influence on the Theory of Computing, SIAM News 30/1 (1997), p.3.

6. L. Babai: Paul Erdos (1913-1996): His Influence on the Theory of Computing, in: Proc. 29th ACM Symposium on Theory of Computing, 1997, pp. 383-401.

7. L. Babai (organizer), C. Pomerance, P. Vértesi: The mathematics of Paul Erdos. Notices of the A.M.S. 45/1, January 1998, pp. 19-31.

8. L. Babai: Finite and Infinite Combinatorics. Part of item 7, pp. 23-28.

9. L. Babai, J. Spencer: Paul Erdos (1913-1996). Notices of the A.M.S. 45/1, January 1998, pp. 64-73.

10. L. Babai: Paul Erdos just left town. Part of item 9, pp. 66-73.



Laszlo Babai 2001-01-02