Article ID Journal Published Year Pages File Type
421052 Discrete Applied Mathematics 2006 8 Pages PDF
Abstract

In the precoloring extension problem a graph is given with some of the vertices having preassigned colors and it has to be decided whether this coloring can be extended to a proper k-coloring of the graph. Answering an open question of Hujter and Tuza [Precoloring extension. III. Classes of perfect graphs, Combin. Probab. Comput. 5 (1) (1996) 35–56], we show that the precoloring extension problem is NP-complete on unit interval graphs.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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