BIPARTITE SUBGRAPHS OF H-FREE GRAPHS

被引：10

作者：

Zeng, Qinghou ^{[1
]}

Hou, Jianfeng ^{[1
]}

机构：

[1] Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 96卷 / 01期

关键词：

H-free graph; partition; bipartite subgraph; INDEPENDENCE NUMBER; BOUNDS;

D O I：

10.1017/S0004972716001295

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a graph G, let f (G) denote the maximum number of edges in a bipartite subgraph of G. For an integer m and for a fixed graph H, let f (m, H) denote the minimum possible cardinality of f (G) as G ranges over all graphs on m edges that contain no copy of H. We give a general lower bound for f (m, H) which extends a result of Erdos and Lovasz and we study this function for any bipartite graph H with maximum degree at most t >= 2 on one side.

引用

页码：1 / 13

页数：13

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