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arXiv · 1205.2483

Edge-clique graphs of cocktail parties have unbounded rankwidth

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

In an attempt to find a polynomial-time algorithm for the edge-clique cover problem on cographs we tried to prove that the edge-clique graphs of cographs have bounded rankwidth. However, this is not the case. In this note we show that the edge-clique graphs of cocktail party graphs have unbounded rankwidth.

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Maw-Shang Chang, Ton Kloks, Ching-Hao Liu. 2012-05-11. Edge-clique graphs of cocktail parties have unbounded rankwidth. https://arxiv.org/abs/1205.2483

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