Exact exponential-time algorithms for finding bicliques

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چکیده

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Exact exponential-time algorithms for finding bicliques

Due to a large number of applications, bicliques of graphs have been widely considered in the literature. This paper focuses on non-induced bicliques. Given a graph G = (V,E) on n vertices, a pair (X,Y ), with X,Y ⊆ V , X ∩ Y = ∅, is a non-induced biclique if {x, y} ∈ E for any x ∈ X and y ∈ Y . The NP-complete problem of finding a non-induced (k1, k2)-biclique asks to decide whether G contains...

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Exact Exponential-Time Algorithms for Finding Bicliques in a Graph

Throughout the paper all graphs G = (V,E) are undirected and simple. An induced biclique of G is a complete bipartite induced subgraph of G. A noninduced biclique is a complete bipartite (not necessarily induced) subgraph of G. Equivalently, the pair (X, Y ) of disjoint vertex subsets X ⊆ V and Y ⊆ V is a non-induced biclique of G if {x, y} ∈ E for all x ∈ X and y ∈ Y . If, additionally, X and ...

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ژورنال

عنوان ژورنال: Information Processing Letters

سال: 2010

ISSN: 0020-0190

DOI: 10.1016/j.ipl.2010.10.020