On the complexity of ordered colorings

Gupta, Arvind; van den Heuvel, JanORCID logo; Manuch, Jan; Stacho, Ladislav; and Zhao, Xiaohong (2008) On the complexity of ordered colorings. SIAM Journal on Discrete Mathematics, 22 (2). pp. 832-847. ISSN 0895-4801
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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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