Independent sets in edge-clique graphs
نویسندگان
چکیده
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(n4) time. We show that the independent set problem on edge-clique graphs of graphs without odd wheels remains NP-complete.
منابع مشابه
Independent sets in edge-clique graphs II
We show that 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 polynomial time. We show that the independent set problem on edge-clique ...
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ورودعنوان ژورنال:
- CoRR
دوره abs/1206.1993 شماره
صفحات -
تاریخ انتشار 2012