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Precoloring extension on chordal graphs

By Dániel Marx

Abstract

In the precoloring extension problem (PrExt) we are given a graph with some of the vertices having a preassigned color and it has to be decided whether this coloring can be extended to a proper k-coloring of the graph. 1-PrExt is the special case where every color is assigned to at most one vertex in the precoloring. Answering an open question of Hujter and Tuza [HT96], we show that the 1-PrExt problem can be solved in polynomial time for chordal graphs.

Publisher: Birkhäuser
Year: 2004
OAI identifier: oai:CiteSeerX.psu:10.1.1.120.7257
Provided by: CiteSeerX
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