Erdos and Renyi conjecture

被引：19
|
作者：
Shelah, S [1 ]
机构：
[1] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 1998年 / 82卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1006/jcta.1997.2845
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Affirming a conjecture of Erdos and Renyi we prove that for any (real number) c(1) > 0 for some c(2) > 0, if a graph G has no c(1) (log n) nodes on which the graph is complete or edgeless (i.e., G exemplifies \G\ negated right arrow (c(1) log n)(2)(2)), then G has at least 2(c2n)non-isomorphic (induced) subgraphs. (C) 1998 Academic Press.
引用
收藏
页码：179 / 185
页数：7
相关论文
共 50 条
  • [21] On a conjecture of Erdos and Lewin
    Yu, Wang-Xing
    Chen, Yong-Gao
    [J]. JOURNAL OF NUMBER THEORY, 2022, 238 : 763 - 778
  • [22] A PROOF OF A CONJECTURE OF ERDOS
    CRITTENDEN, RB
    EYNDEN, CLV
    [J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (06) : 1326 - +
  • [23] AN ERDOS-RENYI LAW WITH SHIFTS
    ARRATIA, R
    WATERMAN, MS
    [J]. ADVANCES IN MATHEMATICS, 1985, 55 (01) : 13 - 23
  • [24] Constrained Information Transmission on Erdos - Renyi Graphs
    Comets, F.
    Gallesco, C.
    Popov, S.
    Vachkovskaia, M.
    [J]. MARKOV PROCESSES AND RELATED FIELDS, 2016, 22 (01) : 111 - 138
  • [25] ON GENERAL VERSIONS OF ERDOS-RENYI LAWS
    STEINEBACH, J
    [J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1981, 56 (04): : 549 - 554
  • [26] Modularity of Erdos-Renyi random graphs
    McDiarmid, Colin
    Skerman, Fiona
    [J]. RANDOM STRUCTURES & ALGORITHMS, 2020, 57 (01) : 211 - 243
  • [27] ON A CONJECTURE OF ERDOS HAJNAL AND MOON
    BOLLOBAS, B
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (02): : 178 - &
  • [28] On a conjecture of Erdos, Graham and Spencer
    Chen, Yong-Gao
    [J]. JOURNAL OF NUMBER THEORY, 2006, 119 (02) : 307 - 314
  • [29] On the Erdos-Renyi maximum of partial sums
    Novak, SY
    [J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 1998, 42 (02) : 254 - 270
  • [30] Super Connectivity of Erdos-Renyi Graphs
    Shang, Yilun
    [J]. MATHEMATICS, 2019, 7 (03):
12345