Edge-clique graphs of cocktail parties have unbounded rankwidth

Published 11 May 2012 in cs.DM and math.CO | (1205.2483v1)

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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