Graph coloring with rejection

L. Epstein, A. Levin, G.J. Woeginger

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

4 Citations (Scopus)

Abstract

We consider the following vertex coloring problem. We are given an undirected graph G = (V,E), where each vertex v is associated with a penalty rejection cost rv. We need to choose a subset of vertices, V ??, and to find a proper coloring of the induced subgraph of G over V ??. We are interested in both the number of colors used to color the vertices of V ??, and in the total rejection cost of all other vertices. The goal is to minimize the sum of these two amounts. In this paper we consider both the online and the offline versions of this problem. In the online version, vertices arrive one at a time, revealing the rejection cost of the current vertex and the set of edges connecting it to previously revealed vertices. We also consider the classical online coloring problem on bounded degree graphs and on (k + 1)-claw free graphs.
Original languageEnglish
Title of host publicationAlgorithms - ESA 2006 (Proceedings 14th Annual European Symposium, Zürich, Switzerland, September 11-13, 2006)
EditorsY. Azar, T. Erlebach
Place of PublicationBerlin
PublisherSpringer
Pages364-375
ISBN (Print)3-540-38875-3
DOIs
Publication statusPublished - 2006

Publication series

NameLecture Notes in Computer Science
Volume4168
ISSN (Print)0302-9743

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    Epstein, L., Levin, A., & Woeginger, G. J. (2006). Graph coloring with rejection. In Y. Azar, & T. Erlebach (Eds.), Algorithms - ESA 2006 (Proceedings 14th Annual European Symposium, Zürich, Switzerland, September 11-13, 2006) (pp. 364-375). (Lecture Notes in Computer Science; Vol. 4168). Springer. https://doi.org/10.1007/11841036_34