01月27日 吕长虹教授学术报告

发布时间:2018-01-29   浏览次数:293

报 告 人:吕长虹 教授

报告题目:Algorithmic aspects ofpaired-domination problem of graphs

报告时间:2018年1月27日(周六)15:30

报告地点:静远楼1506报告厅

报告摘要:

        Let $G=(V, E)$ be a simple connectedgraph. A set $S\subseteq V(G)$ is called a paired-dominating set if everyvertex in $V(G)\setminus S$ has at least one neighbor in $S$ and the subgraphinduced by $S$ contains a perfect matching.

        The paired-domination number of $G$,denoted by $\gamma_{pr}(G)$, is the minimum cardinality of a paired-dominatingset of $G$.

        In this talk, we will survey thealgorithmic results of paired-domination problem on subclasses of chordalgraphs,  NP-completeness and APX-completenessresults.