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Complexity of pattern coloring of cycle systems

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DVORAK Z KARA J KRÁĽ Daniel PANGRAC O

Rok publikování 2002
Druh Článek v odborném periodiku
Časopis / Zdroj GRAPH-THEORETIC CONCEPTS IN COMPUTER SCIENCE
Citace
Popis A k-cycle system is a system of cyclically ordered k-tuples of A finite set. A pattern is a sequence of letters. A coloring of a k-cycle system with respect to a set of patterns of length k is-proper iff each cycle is colored consistently with. one of the patterns, i.e. the same/distinct letters correspond to the same/distinct color(s). We prove a:dichotomy result on the complexity of coloring a given cycle system with a fixed set of patterns P by at most l colors and discuss possible generalizations.

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