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

Elaine M. Eschen; Chinh T. Hoang; R. Sritharan; Lorna Stewart

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arXiv · 0907.0691

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

Elaine M. Eschen·Chinh T. Hoang·R. Sritharan·Lorna Stewart

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Abstract

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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BibTeX RIS

Elaine M. Eschen, Chinh T. Hoang, R. Sritharan, Lorna Stewart. 2009-07-03. On the complexity of deciding whether the distinguishing chromatic number of a graph is at most two. https://arxiv.org/abs/0907.0691

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