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arXiv · 1609.02657

Convex Independence in Permutation Graphs

Wing-Kai Hon·Ton Kloks·Fu-Hong Liu·Hsiang-Hsuan Liu
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Abstract

A set C of vertices of a graph is P_3-convex if every vertex outside C has at most one neighbor in C. The convex hull \sigma(A) of a set A is the smallest P_3-convex set that contains A. A set M is convexly independent if for every vertex x \in M, x \notin \sigma(M-x). We show that the maximal number of vertices that a convexly independent set in a permutation graph can have, can be computed in polynomial time.

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Wing-Kai Hon, Ton Kloks, Fu-Hong Liu, Hsiang-Hsuan Liu. 2016-09-09. Convex Independence in Permutation Graphs. https://arxiv.org/abs/1609.02657

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