ON A BOTTLENECK BIPARTITION CONJECTURE OF ERDOS

被引：23

作者：

PORTER, TD ^{[1
]}

机构：

[1] SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901

来源：

COMBINATORICA | 1992年 / 12卷 / 03期

关键词：

AMS Subject Classification code (1991): 05C35;

D O I：

10.1007/BF01285820

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a graph G, let gamma(U,V) = max{e(U),e(V)} for a bipartition (U,V) of V(G) with U or V = V(G), U and V = 0. Define gamma(G) = min(U,V){gamma(U,V)}. Paul Erdos conjectures gamma(G)/e(G) less-than-or-equal-to 1/4+ O(1/square-root e(G)). This paper verifies the conjecture and shows gamma(G)/e(G) less-than-or-equal-to 1/4(1 + square-root 2/e(G)).

引用

页码：317 / 321

页数：5

共 50 条

[41] A counterexample to a conjecture of Erdos, Graham and Spencer
Guo, Song
[J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2008, 15 (01):
[42] A DISPROOF OF A CONJECTURE OF ERDOS IN RAMSEY THEORY
THOMASON, A
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1989, 39 : 246 - 255
[43] A conjecture of Erdos on graph Ramsey numbers
Sudakov, Benny
[J]. ADVANCES IN MATHEMATICS, 2011, 227 (01) : 601 - 609
[44] A generalization of primitive sets and a conjecture of Erdos
Chan, Tsz Ho
Lichtman, Jared Duker
Pomerance, Carl
[J]. DISCRETE ANALYSIS, 2020,
[45] REMARK ON A CONJECTURE OF ERDOS ON BINOMIAL COEFFICIENTS
MAKOWSKI, A
[J]. MATHEMATICS OF COMPUTATION, 1970, 24 (111) : 705 - &
[46] On a conjecture of Erdos, Graham and Spencer, II
Fang, Jin-Hui
Chen, Yong-Gao
[J]. DISCRETE APPLIED MATHEMATICS, 2008, 156 (15) : 2950 - 2958
[47] ON A CONJECTURE OF ERDOS ABOUT ADDITIVE FUNCTIONS
Indlekofer, Karl-Heinz
[J]. THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, 2013, 89 : 21 - 29
[48] A note on the jumping constant conjecture of Erdos
Frankl, Peter
Peng, Yuejian
Rodl, Vojtech
Talbot, John
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 2007, 97 (02) : 204 - 216
[49] On Erdos-Wood's conjecture
Subburam, S.
Thangadurai, R.
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2015, 125 (02): : 139 - 147
[50] A variant of the Erdos-Sos conjecture
Havet, Frederic
Reed, Bruce
Stein, Maya
Wood, David R.
[J]. JOURNAL OF GRAPH THEORY, 2020, 94 (01) : 131 - 158

← 1 2 3 4 5 →