Known Algorithms for Edge Clique Cover are Probably Optimal

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چکیده

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Known algorithms for EDGE CLIQUE COVER are probably optimal

In the EDGE CLIQUE COVER (ECC) problem, given a graph G and an integer k, we ask whether the edges of G can be covered with k complete subgraphs of G or, equivalently, whether G admits an intersection model on k-element universe. Gramm et al. [JEA 2008] have shown a set of simple rules that reduce the number of vertices of G to 2, and no algorithm is known with significantly better running time...

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ژورنال

عنوان ژورنال: SIAM Journal on Computing

سال: 2016

ISSN: 0097-5397,1095-7111

DOI: 10.1137/130947076