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arXiv · 0810.2042

Counting cocircuits and convex two-colourings is #P-complete

Andrew J. Goodall·Steven D. Noble
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Abstract

We prove that the problem of counting the number of colourings of the vertices of a graph with at most two colours, such that the colour classes induce connected subgraphs is #P-complete. We also show that the closely related problem of counting the number of cocircuits of a graph is #P-complete.

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BibTeXRIS

Andrew J. Goodall, Steven D. Noble. 2008-10-11. Counting cocircuits and convex two-colourings is #P-complete. https://arxiv.org/abs/0810.2042

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