作者
David B Chandler, Maw-Shang Chang, Ton Kloks, Jiping Liu, Sheng-Lung Peng
发表日期
2009/6/28
期刊
Discrete Applied Mathematics
卷号
157
期号
12
页码范围
2611-2619
出版商
North-Holland
简介
Given a class of graphs G, a graph G is a probe graph ofG if its vertices can be partitioned into two sets, P, the probes, and an independent set N, the nonprobes, such that G can be embedded into a graph of G by adding edges between certain vertices of N. If the partition of the vertices into probes and nonprobes is part of the input, then we call the graph a partitioned probe graph ofG. In this paper, we provide a recognition algorithm for partitioned probe permutation graphs with time complexity O(n2), where n is the number of vertices of the input graph. We show that a probe permutation graph has at most O(n4) minimal separators. As a consequence, for probe permutation graphs there exist polynomial-time algorithms solving problems like treewidth and minimum fill-in. We also characterize those graphs for which the probe graphs must be weakly chordal.
引用总数
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学术搜索中的文章
DB Chandler, MS Chang, T Kloks, J Liu, SL Peng - Discrete Applied Mathematics, 2009