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ESA
2006
Springer

Graph Coloring with Rejection

13 years 7 months ago
Graph Coloring with Rejection
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 nd 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 oine 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.
Leah Epstein, Asaf Levin, Gerhard J. Woeginger
Added 22 Aug 2010
Updated 22 Aug 2010
Type Conference
Year 2006
Where ESA
Authors Leah Epstein, Asaf Levin, Gerhard J. Woeginger
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