论文标题

占优势复合物和顶点覆盖图

Dominance complexes and vertex cover numbers of graphs

论文作者

Matsushita, Takahiro

论文摘要

简单图的优势复合物$ d(g)$ $ g =(v,e)$是由$ v $的子集组成的简单络合物,其补充是主导的。我们表明,$ d(g)$加$ 2 $的连接性是$ g $的顶点盖号$τ(g)$的下限。

The dominance complex $D(G)$ of a simple graph $G = (V,E)$ is the simplicial complex consisting of the subsets of $V$ whose complements are dominating. We show that the connectivity of $D(G)$ plus $2$ is a lower bound for the vertex cover number $τ(G)$ of $G$.

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