Counting H-free graphs

被引:11
|
作者
Promel, HJ
Steger, A
机构
[1] HUMBOLDT UNIV BERLIN,INST INFORMAT,D-10099 BERLIN,GERMANY
[2] UNIV DUISBURG GESAMTHSCH,FACHBEREICH MATH,D-47048 DUISBURG,GERMANY
关键词
D O I
10.1016/0012-365X(94)00334-F
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let Forb(n,m)(H) denote the class of all H-free graphs on n (labelled) vertices with m edges. In this note we estimate the cardinality of \Forb(n,m)(H)\ by establishing good bounds for the probability that a random graph in the G(n,m)-model does not contain a given subgraph.
引用
收藏
页码:311 / 315
页数:5
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