The lower bound on independence number

被引：0
|
作者：
李雨生
CecilC.ROUSSEAU
臧文安
机构：
来源：
Science China Mathematics | 2002年 / 01期
基金：
中国国家自然科学基金;
关键词：
independence number; discrete form; weighted graph;
D O I：
暂无
中图分类号：
O157 [组合数学（组合学）];
学科分类号：
070104 ;
摘要：
Let G be a graph with degree sequence (dv). If the maximum degree of any subgraph induced by a neighborhood of G is at most m, then the independence number of G is at leastΣfm+1(dv), where fm +1( x) is a function greater than for x> 0. For a weightedgraph G = ( V, E, w), we prove that its weighted independence number (the maximum sum of theweights of an independent set in G) is at least Σ Wv/1+d,where wv is the weight of v.
引用
收藏
页码：64 / 69
页数：6
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