A set of vertices X of a graph G is convex if no shortest path between two vertices in X contains a vertex outside X. We prove that for fixed p >= 1, all partitions of the vertex set of a bipartite graph into p convex sets can be found in polynomial time. (C) 2015 Elsevier B.V. All rights reserved.
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Univ British Columbia, Dept Math, 1984 Math Rd, Vancouver, BC V6T 1Z2, CanadaUniv British Columbia, Dept Math, 1984 Math Rd, Vancouver, BC V6T 1Z2, Canada
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Univ Belgrade, Fac Civil Engn, Bulevar Kralja Aleksandra 73, Belgrade 11000, SerbiaUniv Belgrade, Fac Civil Engn, Bulevar Kralja Aleksandra 73, Belgrade 11000, Serbia
Pesovic, Marko
Stojadinovic, Tanja
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Univ Belgrade, Fac Math, Studentski Trg 16, Belgrade 11000, SerbiaUniv Belgrade, Fac Civil Engn, Bulevar Kralja Aleksandra 73, Belgrade 11000, Serbia