On the number of dependent sets in a connected graph

被引：0
|
作者：
Horrocks, DGC [1 ]
机构：
[1] Univ Prince Edward Isl, Dept Math & Comp Sci, Charlottetown, PE C1A 4P3, Canada
来源：
ARS COMBINATORIA | 1999年 / 53卷
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A set X of vertices of a graph is said to be dependent if X is not an independent set. For the graph G, let P-k(G) denote the set of dependent sets of cardinality k. In this paper, we show that if G is a connected graph on 2n vertices where n greater than or equal to 3 then \P-n(G)\ greater than or equal to \Pn+1(G)\. This study is motivated by a conjecture of Lih.
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页码：239 / 247
页数：9
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