메뉴 건너뛰기




Volumn 28, Issue 2, 2006, Pages 180-194

Applications of the regularity lemma for uniform hypergraphs

Author keywords

Applications; Hypergraph; Regularity lemma

Indexed keywords


EID: 33644942504     PISSN: 10429832     EISSN: 10982418     Source Type: Journal    
DOI: 10.1002/rsa.20108     Document Type: Review
Times cited : (61)

References (31)
  • 2
    • 33644952288 scopus 로고    scopus 로고
    • G. Elekes, oral communication
    • G. Elekes, oral communication.
  • 3
    • 0011319584 scopus 로고
    • The asymptotic number of graphs not containing a fixed subgraph and a problem for hypergraphs having no exponent
    • P. Erdos, P. Frankl, and V. Rödl, The asymptotic number of graphs not containing a fixed subgraph and a problem for hypergraphs having no exponent, Graphs Combin 2 (1986), 113-121.
    • (1986) Graphs Combin , vol.2 , pp. 113-121
    • Erdos, P.1    Frankl, P.2    Rödl, V.3
  • 4
    • 51249165384 scopus 로고
    • On extremal problems of graphs and generalized graphs
    • P. Erdos, On extremal problems of graphs and generalized graphs, Isr J Math 2 (1964), 183-190.
    • (1964) Isr J Math , vol.2 , pp. 183-190
    • Erdos, P.1
  • 5
    • 0346121135 scopus 로고
    • On Pisier type problems and results (combinatorial applications to number theory)
    • Springer-Verlag, Berlin
    • P. Erdos, J. Nešetřil, and V. Rödl, On Pisier type problems and results (combinatorial applications to number theory), Mathematics of Ramsey theory, Algorithms Combin., Vol. 5, Springer-Verlag, Berlin, 1990, pp. 214-231.
    • (1990) Mathematics of Ramsey Theory, Algorithms Combin. , vol.5 , pp. 214-231
    • Erdos, P.1    Nešetřil, J.2    Rödl, V.3
  • 6
    • 51249184185 scopus 로고
    • Supersaturated graphs and hypergraphs
    • P. Erdos and M. Simonovits, Supersaturated graphs and hypergraphs, Combinatorica 3 (1983), 181-192.
    • (1983) Combinatorica , vol.3 , pp. 181-192
    • Erdos, P.1    Simonovits, M.2
  • 7
    • 84966252492 scopus 로고
    • On the structure of linear graphs
    • P. Erdos and A. H. Stone, On the structure of linear graphs, Bull Am Math Soc 52 (1946), 1087-1091.
    • (1946) Bull Am Math Soc , vol.52 , pp. 1087-1091
    • Erdos, P.1    Stone, A.H.2
  • 8
    • 84960611781 scopus 로고
    • On some sequences of integers
    • P. Erdos and P. Turán, On some sequences of integers, J London Math Soc 11 (1936), 261-264.
    • (1936) J London Math Soc , vol.11 , pp. 261-264
    • Erdos, P.1    Turán, P.2
  • 9
    • 0242330685 scopus 로고    scopus 로고
    • Extremal problems on set systems
    • P. Frankl and V. Rödl, Extremal problems on set systems, Random Struct Algo 20 (2002), 131-164.
    • (2002) Random Struct Algo , vol.20 , pp. 131-164
    • Frankl, P.1    Rödl, V.2
  • 10
    • 84858562635 scopus 로고    scopus 로고
    • Z. Füredi, oral communication
    • Z. Füredi, oral communication.
  • 12
    • 3042549295 scopus 로고    scopus 로고
    • The regularity lemma and its applications in graph theory
    • Theoretical aspects of computer science (Tehran, 2000), Springer-Verlag, Berlin
    • J. Komlós, A. Shokoufandeh, M. Simonovits, and E. Szemerédi, The regularity lemma and its applications in graph theory, Theoretical aspects of computer science (Tehran, 2000), Lecture Notes in Computer Science, Vol. 2292, Springer-Verlag, Berlin, 2002, pp. 84-112.
    • (2002) Lecture Notes in Computer Science , vol.2292 , pp. 84-112
    • Komlós, J.1    Shokoufandeh, A.2    Simonovits, M.3    Szemerédi, E.4
  • 13
    • 0000501688 scopus 로고    scopus 로고
    • Szemerédi's regularity lemma and its applications in graph theory
    • (Keszthely, 1993) (D. Miklós, V. T. Sós, and T. Szonyi, Eds.) Bolyai Society Mathematical Studies, Vol. 2, János Bolyai Mathematical Society, Budapest
    • J. Komlós and M. Simonovits. Szemerédi's regularity lemma and its applications in graph theory, Combinatorics - Paul Erdos is eighty, Vol. 2 (Keszthely, 1993) (D. Miklós, V. T. Sós, and T. Szonyi, Eds.), Bolyai Society Mathematical Studies, Vol. 2, János Bolyai Mathematical Society, Budapest, 1996, pp. 295-352.
    • (1996) Combinatorics - Paul Erdos Is Eighty , vol.2 , pp. 295-352
    • Komlós, J.1    Simonovits, M.2
  • 14
    • 4244094761 scopus 로고    scopus 로고
    • Lectures on discrete geometry
    • Springer-Verlag, Berlin
    • J. Matoušek, Lectures on discrete geometry. Graduate Texts in Mathematics, Vol. 212, Springer-Verlag, Berlin, 2002, xvi+481 pp.
    • (2002) Graduate Texts in Mathematics , vol.212
    • Matoušek, J.1
  • 15
    • 0142246247 scopus 로고    scopus 로고
    • Regularity properties for triple systems
    • B. Nagle and V. Rödl, Regularity properties for triple systems, Random Struct Algor 23 (2003), 264-332.
    • (2003) Random Struct Algor , vol.23 , pp. 264-332
    • Nagle, B.1    Rödl, V.2
  • 16
    • 33645005241 scopus 로고    scopus 로고
    • The counting lemma for regular k-uniform hypergraphs
    • to appear
    • B. Nagle, V. Rödl, and M. Schacht, The counting lemma for regular k-uniform hypergraphs, Random Struct Algor (2005), to appear.
    • (2005) Random Struct Algor
    • Nagle, B.1    Rödl, V.2    Schacht, M.3
  • 18
    • 0346703825 scopus 로고
    • Some developments in Ramsey theory
    • (Kyoto, 1990), Math. Soc. Japan. Springer-Verlag, Tokyo
    • V. Rödl, Some developments in Ramsey theory, Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), Math. Soc. Japan. Springer-Verlag, Tokyo, 1991, pp. 1455-1466.
    • (1991) Proceedings of the International Congress of Mathematicians , vol.1-2 , pp. 1455-1466
    • Rödl, V.1
  • 22
    • 11144270528 scopus 로고    scopus 로고
    • Regularity lemma for uniform hypergraphs
    • V. Rödl and J. Skokan, Regularity lemma for uniform hypergraphs, Random Struct Algor 25 (2004), 1-42.
    • (2004) Random Struct Algor , vol.25 , pp. 1-42
    • Rödl, V.1    Skokan, J.2
  • 23
    • 22144466868 scopus 로고    scopus 로고
    • Counting subgraphs in quasi-random 4-uniform hypergraphs
    • V. Rödl and J. Skokan, Counting subgraphs in quasi-random 4-uniform hypergraphs, Random Struct Algor 26 (2005). 160-203.
    • (2005) Random Struct Algor , vol.26 , pp. 160-203
    • Rödl, V.1    Skokan, J.2
  • 24
    • 0000724028 scopus 로고
    • Triple systems with no six points carrying three triangles
    • Combinatorics (Proc. Fifth Hungarian Colloq., Keszthely, 1976), North-Holland, Amsterdam
    • I. Z. Ruzsa and E. Szemerédi, Triple systems with no six points carrying three triangles, Combinatorics (Proc. Fifth Hungarian Colloq., Keszthely, 1976), Vol. II, Colloq. Math. Soc. János Bolyai, Vol. 18, North-Holland, Amsterdam, 1978, pp. 939-945.
    • (1978) Colloq. Math. Soc. János Bolyai , vol.2-18 , pp. 939-945
    • Ruzsa, I.Z.1    Szemerédi, E.2
  • 26
    • 3142531055 scopus 로고    scopus 로고
    • Note on a question of Erdos and Graham
    • J. Solymosi, Note on a question of Erdos and Graham, Combin Probabil Comput 13 (2004), 263-267.
    • (2004) Combin Probabil Comput , vol.13 , pp. 263-267
    • Solymosi, J.1
  • 27
    • 34250427250 scopus 로고
    • On the existence of triangulated spheres in 3-graphs, and related problems
    • V. T. Sós, P. Erdos, and W. G. Brown, On the existence of triangulated spheres in 3-graphs, and related problems. Period Math Hungar 3 (1973), 221-228.
    • (1973) Period Math Hungar , vol.3 , pp. 221-228
    • Sós, V.T.1    Erdos, P.2    Brown, W.G.3
  • 28
    • 84858562636 scopus 로고    scopus 로고
    • L. Székely, oral communication, 1997
    • L. Székely, oral communication, 1997.
  • 29
    • 0001549458 scopus 로고
    • On sets of integers containing no k elements in arithmetic progression
    • E. Szemerédi, On sets of integers containing no k elements in arithmetic progression, Acta Arith 27 (1975), 199-245.
    • (1975) Acta Arith , vol.27 , pp. 199-245
    • Szemerédi, E.1
  • 30
    • 0002572651 scopus 로고
    • Regular partitions of graphs
    • (Colloq. Internat. CNRS, Univ. Orsay, Orsay, 1976) (Paris), Colloques Internationaux CNRS No. 260
    • E. Szemerédi, Regular partitions of graphs, Problèmes Combinatoires et Théorie des Graphes (Colloq. Internat. CNRS, Univ. Orsay, Orsay, 1976) (Paris), Colloques Internationaux CNRS No. 260, 1978, pp. 399-401.
    • (1978) Problèmes Combinatoires et Théorie des Graphes , pp. 399-401
    • Szemerédi, E.1
  • 31
    • 0001263144 scopus 로고
    • Eine Extremalaufgabe aus der Graphentheorie
    • in Hungarian, with German summary
    • P. Turán, Eine Extremalaufgabe aus der Graphentheorie, Mat Fiz Lapok 48 (1941), 436-452, in Hungarian, with German summary.
    • (1941) Mat Fiz Lapok , vol.48 , pp. 436-452
    • Turán, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.