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Peter Frankl

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2008
85EEPeter Frankl, Gyula Y. Katona: Extremal k-edge-hamiltonian hypergraphs. Discrete Mathematics 308(8): 1415-1424 (2008)
2007
84EEPeter Frankl, Yuejian Peng, Vojtech Rödl, John M. Talbot: A note on the jumping constant conjecture of Erdös. J. Comb. Theory, Ser. B 97(2): 204-216 (2007)
2006
83EEPeter Frankl, Norihide Tokushige: Weighted Non-Trivial Multiply Intersecting Families. Combinatorica 26(1): 37-46 (2006)
82EEPeter Frankl, Norihide Tokushige: The Maximum Size of 3-Wise Intersecting and 3-Wise Union Families. Graphs and Combinatorics 22(2): 225-231 (2006)
2005
81EEPeter Frankl, Norihide Tokushige: Random walks and multiply intersecting families. J. Comb. Theory, Ser. A 109(1): 121-134 (2005)
2003
80EEPeter Frankl, Norihide Tokushige: The game of n-times nim. Discrete Mathematics 260(1-3): 205-209 (2003)
2002
79EEPeter Frankl, Norihide Tokushige: Weighted 3-Wise 2-Intersecting Families. J. Comb. Theory, Ser. A 100(1): 94-115 (2002)
78 Peter Frankl, Vojtech Rödl: Extremal problems on set systems. Random Struct. Algorithms 20(2): 131-164 (2002)
2001
77EEPeter Frankl, Gyula Y. Katona: Extremal k-edge-hamiltonian Hypergraphs. Electronic Notes in Discrete Mathematics 10: 109-112 (2001)
76EELászló Babai, Peter Frankl, Samuel Kutin, Daniel Stefankovic: Set Systems with Restricted Intersections modulo Prime Powers. J. Comb. Theory, Ser. A 95(1): 39-73 (2001)
2000
75EEPeter Frankl, Gyula Y. Katona: Extremal k-edge-hamiltonian Hypergraphs. Electronic Notes in Discrete Mathematics 5: 130-133 (2000)
1999
74EEPeter Frankl, Norihide Tokushige: The Erdos-Ko-Rado Theorem for Integer Sequences. Combinatorica 19(1): 55-63 (1999)
1998
73 Peter Frankl, Katsuhiro Ota, Norihide Tokushige: Uniform Intersecting Families with Covering Number Restrictions. Combinatorics, Probability & Computing 7(1): 47-56 (1998)
72 Peter Frankl, Norihide Tokushige: Some Inequalities Concerning Cross-Intersecting Families. Combinatorics, Probability & Computing 7(3): 247-260 (1998)
1996
71EEPeter Frankl: An Erdos-Ko-Rado Theorem for Direct Products. Eur. J. Comb. 17(8): 727-730 (1996)
70EEPeter Frankl, Katsuhiro Ota, Norihide Tokushige: Covers in Uniform Intersecting Families and a Counterexample to a Conjecture of Lovász. J. Comb. Theory, Ser. A 74(1): 33-42 (1996)
69EEPeter Frankl, Katsuhiro Ota, Norihide Tokushige: Exponents of Uniform L-Systems. J. Comb. Theory, Ser. A 75(1): 23-43 (1996)
1995
68EEPeter Frankl, Hiroshi Maehara, Junichiro Nakashima: On the section of a convex polyhedron. Discrete Mathematics 140(1-3): 265-267 (1995)
67 Peter Frankl, Makoto Matsumoto, Imre Z. Ruzsa, Norihide Tokushige: Minimum Shadows in Uniform Hypergraphs and a Generalization of the Takagi Function. J. Comb. Theory, Ser. A 69(1): 125-148 (1995)
66 Peter Frankl, Katsuhiro Ota, Norihide Tokushige: Uniform Intersecting Families with Covering Number Four. J. Comb. Theory, Ser. A 71(1): 127-145 (1995)
1994
65 Peter Frankl, M. Watanabe: Density Results for Uniform Families. Combinatorica 14(1): 115-119 (1994)
1993
64 Peter Frankl, Norihide Tokushige: Weight functions on the kneser graph and the solution of an intersection problem of Sali. Combinatorica 13(4): 413-420 (1993)
1992
63 Péter L. Erdös, Peter Frankl, Daniel J. Kleitman, Michael E. Saks, László A. Székely: Sharpening the LYM inequality. Combinatorica 12(3): 287-293 (1992)
62 Peter Frankl: The convex hull of antichains in posets. Combinatorica 12(4): 493-496 (1992)
61 A. Robert Calderbank, Peter Frankl: Improved Upper Bounds Concerning the Erdös-Ko-Rado Theorem. Combinatorics, Probability & Computing 1: 115-122 (1992)
60 Peter Frankl, Norihide Tokushige: Some Best Possible Inequalities Concerning Cross-Intersecting Families. J. Comb. Theory, Ser. A 61(1): 87-97 (1992)
1991
59EEPeter Frankl, Zoltán Füredi: A sharpening of Fisher's inequality. Discrete Mathematics 90(1): 103-107 (1991)
58EEPeter Frankl, Zoltán Füredi: Beyond the Erdös-Ko-Rado theorem. J. Comb. Theory, Ser. A 56(2): 182-194 (1991)
1990
57EEA. Robert Calderbank, Peter Frankl: Binary codes and quasi-symmetric designs. Discrete Mathematics 83(2-3): 201-204 (1990)
56EEPeter Frankl: Intersection theorems and mod p rank of inclusion matrices. J. Comb. Theory, Ser. A 54(1): 85-94 (1990)
55EEPeter Frankl, Ronald L. Graham, Vojtech Rödl: Iterated combinatorial density theorems. J. Comb. Theory, Ser. A 54(1): 95-111 (1990)
54 Peter Frankl: Canonical Antichains on the Circle and Applications. SIAM J. Discrete Math. 3(3): 355-363 (1990)
1989
53EEPeter Frankl, Zoltán Füredi: Extremal problems whose solutions are the blowups of the small witt-designs. J. Comb. Theory, Ser. A 52(1): 129-147 (1989)
1988
52 Peter J. Cameron, Michel Deza, Peter Frankl: Intersection theorems in permutation groups. Combinatorica 8(3): 249-260 (1988)
51 Peter Frankl, Vojtech Rödl: Some Ramsey - Turán type results for hypergraphs. Combinatorica 8(4): 323-332 (1988)
50 Peter Frankl, Hiroshi Maehara: On the Contact Dimensions of Graphs. Discrete & Computational Geometry 3: 89-96 (1988)
49EEPeter Frankl, Ronald L. Graham, Vojtech Rödl: Quantitative theorems for regular systems of equations. J. Comb. Theory, Ser. A 47(2): 246-261 (1988)
48EEPeter Frankl, Vojtech Rödl, Richard M. Wilson: The number of submatrices of a given type in a Hadamard matrix and related results. J. Comb. Theory, Ser. B 44(3): 317-328 (1988)
47EEPeter Frankl, Hiroshi Maehara: The Johnson-Lindenstrauss lemma and the sphericity of some graphs. J. Comb. Theory, Ser. B 44(3): 355-362 (1988)
1987
46 Anders Björner, Peter Frankl, Richard P. Stanley: The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem. Combinatorica 7(1): 23-34 (1987)
45 Peter Frankl: On a pursuit game on Cazley graphs. Combinatorica 7(1): 67-70 (1987)
44EEPeter Frankl, Hiroshi Maehara: Open-interval graphs versus closed-interval graphs. Discrete Mathematics 63(1): 97-100 (1987)
43EEPeter Frankl, Ronald L. Graham, Vojtech Rödl: Induced restricted Ramsey theorems for spaces. J. Comb. Theory, Ser. A 44(1): 120-128 (1987)
42EEPeter Frankl, Ronald L. Graham: The Radon transform on Abelian Groups. J. Comb. Theory, Ser. A 44(1): 168-171 (1987)
41EEPeter Frankl, Ronald L. Graham, Vojtech Rödl: On subsets of abelian groups with no 3-term arithmetic progression. J. Comb. Theory, Ser. A 45(1): 157-161 (1987)
40EEMikhail Deza, Peter Frankl: A helly type theorem for hypersurfaces. J. Comb. Theory, Ser. A 45(1): 27-30 (1987)
39EEPeter Frankl, Zoltán Füredi: Exact solution of some Turán-type problems. J. Comb. Theory, Ser. A 45(2): 226-262 (1987)
38EEPeter Frankl: Erdös-Ko-Rado theorem with conditions on the maximal degree. J. Comb. Theory, Ser. A 46(2): 252-263 (1987)
1986
37 László Babai, Peter Frankl, Janos Simon: Complexity classes in communication complexity theory (preliminary version) FOCS 1986: 337-347
36 Peter Frankl: Orthogonal vectors in the n-dimensional cube and codes with missing distances. Combinatorica 6(3): 279-286 (1986)
35 Peter Frankl, Zoltán Füredi: Finite projective spaces and intersecting hypergraphs. Combinatorica 6(4): 335-354 (1986)
34 Michel Deza, Peter Frankl: On Squashed Designs. Discrete & Computational Geometry 1: 379-390 (1986)
33EEPeter Frankl, Zoltán Füredi: Non-trivial intersecting families. J. Comb. Theory, Ser. A 41(1): 150-153 (1986)
32EEPeter Frankl: All rationals occur as exponents. J. Comb. Theory, Ser. A 42(2): 200-206 (1986)
31EEFan R. K. Chung, Ronald L. Graham, Peter Frankl, James B. Shearer: Some intersection theorems for ordered sets and graphs. J. Comb. Theory, Ser. A 43(1): 23-37 (1986)
30EEPeter Frankl, Richard M. Wilson: The Erdös-Ko-Rado theorem for vector spaces. J. Comb. Theory, Ser. A 43(2): 228-236 (1986)
29EEPeter Frankl, Zoltán Füredi: Extremal problems concerning Kneser graphs. J. Comb. Theory, Ser. B 40(3): 270-284 (1986)
1985
28 Noga Alon, Peter Frankl, Vojtech Rödl: Geometrical Realization of Set Systems and Probabilistic Communication Complexity FOCS 1985: 277-280
27 Péter L. Erdös, Peter Frankl, Gyula O. H. Katona: Extremal hypergraph problems and convex hulls. Combinatorica 5(1): 11-26 (1985)
26EEGérard D. Cohen, Peter Frankl: Good coverings of Hamming spaces with spheres. Discrete Mathematics 56(2-3): 125-131 (1985)
25 Peter Frankl, Zoltán Füredi: Forbidding Just One Intersection. J. Comb. Theory, Ser. A 39(2): 160-176 (1985)
1984
24 Péter L. Erdös, Peter Frankl, Gyula O. H. Katona: Intersecting Sperner families and their convex hulls. Combinatorica 4(1): 21-34 (1984)
23 Peter Frankl, János Pach: On disjointly representable sets. Combinatorica 4(1): 39-45 (1984)
22 Peter Frankl, Vojtech Rödl: Families of finite sets with three intersections. Combinatorica 4(2): 141-148 (1984)
21 Peter Frankl: Hypergraphs do not jump. Combinatorica 4(2): 149-159 (1984)
20EEPeter Frankl, Zoltán Füredi: A new extremal property of Steiner triple-systems. Discrete Mathematics 48(2-3): 205-212 (1984)
19EEPeter Frankl, Zoltán Füredi: An exact result for 3-graphs. Discrete Mathematics 50: 323-328 (1984)
18 Peter Frankl, Zoltán Füredi: On Hypergraphs without Two Edges Intersecting in a Given Number of Vertices. J. Comb. Theory, Ser. A 36(2): 230-236 (1984)
17EEMikhail Deza, Peter Frankl: Injection geometries. J. Comb. Theory, Ser. B 37(1): 31-40 (1984)
1983
16 Peter Frankl: An extremal set theoretical characterization of some Steiner systems. Combinatorica 3(2): 193-199 (1983)
15 Michel Deza, Peter Frankl, N. M. Singhi: On Functions of Strenth t. Combinatorica 3(3): 331-339 (1983)
14 Peter Frankl, Zoltán Füredi: A new generation of the Erdös - Ko - Rado theorem. Combinatorica 3(3): 341-350 (1983)
13EEPeter Frankl: A probabilistic proof for the lym-inequality. Discrete Mathematics 43(2-3): 325 (1983)
12 Peter Frankl: On the Trace of Finite Sets. J. Comb. Theory, Ser. A 34(1): 41-45 (1983)
1982
11 Michel Deza, Peter Frankl: On the vector space of 0-configurations. Combinatorica 2(4): 341-345 (1982)
10 Péter L. Erdös, Peter Frankl, Zoltán Füredi: Families of Finite Sets in Which No Set Is Covered by the Union of Two Others. J. Comb. Theory, Ser. A 33(2): 158-166 (1982)
1981
9 Michel Deza, Peter Frankl: Every large set of equidistant (0, +1, -1)-vectors forms a sunflower. Combinatorica 1(3): 225-231 (1981)
8 Peter Frankl, Richard M. Wilson: Intersection theorems with geometric consequences. Combinatorica 1(4): 357-368 (1981)
7EEPeter Frankl, Zoltán Füredi: A short proof for a theorem of Harper about Hamming-spheres. Discrete Mathematics 34(3): 311-313 (1981)
6 Peter Frankl: On a Problem of Chvátal and Erdös on Hypergraphs Containing No Generalized Simplex. J. Comb. Theory, Ser. A 30(2): 169-182 (1981)
1980
5 László Babai, Peter Frankl: On Set Intersections. J. Comb. Theory, Ser. A 28(1): 103-105 (1980)
1978
4 Peter Frankl: On Intersecting Families of Finite Sets. J. Comb. Theory, Ser. A 24(2): 146-161 (1978)
1977
3 Peter Frankl, Mikhail Deza: On the Maximum Number of Permutations with Given Maximal or Minimal Distance. J. Comb. Theory, Ser. A 22(3): 352-360 (1977)
1976
2 Peter Frankl: On Sperner Families Satisfying an Additional Condition. J. Comb. Theory, Ser. A 20(1): 1-11 (1976)
1975
1 Peter Frankl: The Proof of a Conjecture of G. O. H. Katona. J. Comb. Theory, Ser. A 19(2): 208-213 (1975)

Coauthor Index

1Noga Alon [28]
2László Babai [5] [37] [76]
3Anders Björner [46]
4A. Robert Calderbank [57] [61]
5Peter J. Cameron [52]
6Fan R. K. Chung (Fan Chung Graham) [31]
7Gérard D. Cohen [26]
8Michel Deza [9] [11] [15] [34] [52]
9Mikhail Deza [3] [17] [40]
10Péter L. Erdös [10] [24] [27] [63]
11Zoltán Füredi [7] [10] [14] [18] [19] [20] [25] [29] [33] [35] [39] [53] [58] [59]
12Ronald L. Graham [31] [41] [42] [43] [49] [55]
13Gyula O. H. Katona [24] [27]
14Gyula Y. Katona [75] [77] [85]
15Daniel J. Kleitman [63]
16Samuel Kutin [76]
17Hiroshi Maehara [44] [47] [50] [68]
18Makoto Matsumoto [67]
19Junichiro Nakashima [68]
20Katsuhiro Ota [66] [69] [70] [73]
21János Pach [23]
22Yuejian Peng [84]
23Vojtech Rödl [22] [28] [41] [43] [48] [49] [51] [55] [78] [84]
24Imre Z. Ruzsa [67]
25Michael E. Saks [63]
26James B. Shearer [31]
27Janos Simon [37]
28N. M. Singhi [15]
29Richard P. Stanley [46]
30Daniel Stefankovic [76]
31László A. Székely [63]
32John M. Talbot [84]
33Norihide Tokushige [60] [64] [66] [67] [69] [70] [72] [73] [74] [79] [80] [81] [82] [83]
34M. Watanabe [65]
35Richard M. Wilson [8] [30] [48]

Colors in the list of coauthors

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