Graphs with No Induced Five-Vertex Path or Antipath

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• 作者：Maria Chudnovsky ; Louis Esperet ; Laetitia Lemoine ; Peter Maceli ; Fr&eacute ; d&eacute ; ric Maffray and Irena Penev
• 刊名：Journal of Graph Theory
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：84
• 期：3
• 页码：221-232
• 全文大小：177K
• ISSN：1097-0118

文摘

We prove that a graph G contains no induced five-vertex path and no induced complement of a five-vertex path if and only if G is obtained from 5-cycles and split graphs by repeatedly applying the following operations: substitution, split unification, and split unification in the complement, where split unification is a new class-preserving operation introduced here.