Exact complexity of Exact-Four-Colorability

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Exact Complexity of Exact-Four-Colorability

Let Mk ⊆ N be a given set that consists of k noncontiguous integers. Define Exact-Mk-Colorability to be the problem of determining whether χ(G), the chromatic number of a given graph G, equals one of the k elements of the set Mk exactly. In 1987, Wagner [Wag87] proved that Exact-Mk-Colorability is BH2k(NP)-complete, where Mk = {6k + 1, 6k + 3, . . . , 8k − 1} and BH2k(NP) is the 2kth level of t...

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ژورنال

عنوان ژورنال: Information Processing Letters

سال: 2003

ISSN: 0020-0190

DOI: 10.1016/s0020-0190(03)00229-1