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arxiv: 1902.04828 · v1 · pith:IH4FXNJTnew · submitted 2019-02-13 · 🧮 math.CO · cs.CC

On the achromatic number of signed graphs

classification 🧮 math.CO cs.CC
keywords achromaticgraphsnumbersignedcoloringcompletecomputingconcept
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In this paper, we generalize the concept of complete coloring and achromatic number to 2-edge-colored graphs and signed graphs. We give some useful relationships between different possible definitions of such achromatic numbers and prove that computing any of them is NP-complete.

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