ON RAMSEY GRAPHS WITHOUT BIPARTITE SUBGRAPHS

被引:4
|
作者
NESETRIL, J [1 ]
RODL, V [1 ]
机构
[1] EMORY UNIV, ATLANTA, GA 30322 USA
关键词
D O I
10.1016/0012-365X(92)90605-F
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that for every graph H without triangles and K(m,n), m, n less-than-or-equal-to 2, there exists a Ramsey graph with the same properties. This answers a problem due to Erdos and Faudree. Moreover we characterize all (edge-) Ramsey classes Forb(K(m,n)).
引用
收藏
页码:223 / 229
页数:7
相关论文
共 50 条
  • [21] On Bipartite Graphs with Linear Ramsey Numbers
    R. L. Graham
    V. Rödl
    A. Ruciński
    Combinatorica, 2001, 21 : 199 - 209
  • [22] Bipartite subgraphs of graphs with maximum degree three
    Bylka, SA
    Idzik, A
    Komar, J
    GRAPHS AND COMBINATORICS, 1999, 15 (02) : 129 - 136
  • [23] BIPARTITE SUBGRAPHS OF H-FREE GRAPHS
    Zeng, Qinghou
    Hou, Jianfeng
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 96 (01) : 1 - 13
  • [24] A METHOD FOR FINDING EXTREMAL SUBGRAPHS IN BIPARTITE GRAPHS
    GORSHKOV, AF
    SOVIET JOURNAL OF COMPUTER AND SYSTEMS SCIENCES, 1987, 25 (01): : 85 - 91
  • [25] OPTIMAL ORIENTATIONS OF SUBGRAPHS OF COMPLETE BIPARTITE GRAPHS
    Lakshmi, R.
    Rajasekaran, G.
    Sampathkumar, R.
    TRANSACTIONS ON COMBINATORICS, 2015, 4 (01) : 19 - 29
  • [26] Covering graphs with few complete bipartite subgraphs
    Fleischner, Herbert
    Mujuni, Egbert
    Paulusma, Daniel
    Szeider, Stefan
    FSTTCS 2007: FOUNDATIONS OF SOFTWARE TECHNOLOGY AND THEORETICAL COMPUTER SCIENCE, PROCEEDINGS, 2007, 4855 : 340 - +
  • [27] EIGENSHARP GRAPHS - DECOMPOSITION INTO COMPLETE BIPARTITE SUBGRAPHS
    KRATZKE, T
    REZNICK, B
    WEST, D
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 308 (02) : 637 - 653
  • [28] On Maximal Chain Subgraphs and Covers of Bipartite Graphs
    Calamoneri, Tiziana
    Gastaldello, Mattia
    Mary, Arnaud
    Sagot, Marie-France
    Sinaimeri, Blerina
    Combinatorial Algorithms, 2016, 9843 : 137 - 150
  • [29] DECOMPOSITIONS OF COMPLETE GRAPHS INTO ISOMORPHIC BIPARTITE SUBGRAPHS
    BALAKRISHNAN, R
    KUMAR, RS
    GRAPHS AND COMBINATORICS, 1994, 10 (01) : 19 - 25
  • [30] DECOMPOSITION OF PRODUCT GRAPHS INTO COMPLETE BIPARTITE SUBGRAPHS
    REZNICK, B
    TIWARI, P
    WEST, DB
    DISCRETE MATHEMATICS, 1985, 57 (1-2) : 189 - 193