Centre for Discrete and Applicable Mathematics

 CDAM Research Report, LSE-CDAM-2006-16

November 2006

On the Complexity of Ordered Colorings

Arvind Gupta, Jan van den Heuvel, Ján Maňuch, Ladislav Stacho, and Xiaohong Zhao

We introduce two variants of proper colorings with imposed partial ordering on the set of colors. One variant shows very close connections to some fundamental problems in graph theory, e.g., directed graph homomorphism and list colorings. We study the border between tractability and intractability for both variants.

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