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arxiv: 1205.2483 · v1 · pith:UWL4YWSTnew · submitted 2012-05-11 · 💻 cs.DM · math.CO

Edge-clique graphs of cocktail parties have unbounded rankwidth

classification 💻 cs.DM math.CO
keywords edge-cliquegraphsrankwidthcocktailcographsunboundedalgorithmattempt
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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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