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arXiv · 1206.1993

Independent sets in edge-clique graphs

Maw-Shang Chang·Ton Kloks·Ching-Hao Liu
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Abstract

We show that the edge-clique graphs of cocktail party graphs have unbounded rankwidth. This, and other observations lead us to conjecture that the edge-clique cover problem is NP-complete for cographs. We show that the independent set problem on edge-clique graphs of cographs and of distance-hereditary graphs can be solved in O(n^4) time. We show that the independent set problem on edge-clique graphs of graphs without odd wheels remains NP-complete.

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Maw-Shang Chang, Ton Kloks, Ching-Hao Liu. 2012-06-10. Independent sets in edge-clique graphs. https://arxiv.org/abs/1206.1993

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