Upper bounds on the independence and the clique covering number

被引：0
|
作者：
Cyriel Van Nuffelen
Kristel Van Rompay
机构：
[1] University of Antwerp,
来源：
Quarterly Journal of the Belgian, French and Italian Operations Research Societies | 2003年 / 1卷
关键词：
Adjacency Matrix; Independence Number; Covering Number; Clique Covering; Clique Covering Number;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
New upper bounds for the independence number and for the clique covering number of a graph are given in terms of the rank, respectively the eigenvalues, of the adjacency matrix. We formulate a conjecture concerning an upper bound of the clique covering number. This upper bound is related to an old conjecture of Alan J. Hoffman which is shown to be false.
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页码：43 / 50
页数：7
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