On the complexity of deciding whether the distinguishing chromatic number of a graph is at most two

Computer Science – Computational Complexity

Scientific paper

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Scientific paper

In an article [3] published recently in this journal, it was shown that when
k >= 3, the problem of deciding whether the distinguishing chromatic number of
a graph is at most k is NP-hard. We consider the problem when k = 2. In regards
to the issue of solvability in polynomial time, we show that the problem is at
least as hard as graph automorphism but no harder than graph isomorphism.

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