Maximum-cover source location problems with objective edge-connectivity three

Kenya Sugihara () and Hiro Ito ()

Mathematical Methods of Operations Research, 2009, vol. 70, issue 1, 183-193

Abstract: Given a graph G=(V, E), a set of vertices $${S \subseteq V}$$ covers a vertex $${v \in V}$$ if the edge-connectivity between S and v is at least a given number k. Vertices in S are called sources. The maximum-cover source location problem, which is a variation of the source location problem, is to find a source set S with a given size at most p, maximizing the sum of the weight of vertices covered by S. In this paper, we show a polynomial-time algorithm for this problem in the case of k = 3 for a given undirected graph with a vertex weight function and an edge capacity function. Moreover, we show that this problem is NP-hard even if vertex weights and edge capacities are both uniform for general k. Copyright Springer-Verlag 2009

Keywords: Maximum-cover source location problem; Polynomial-time algorithm; NP-hard (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s00186-008-0266-1

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