Presentation 2003/7/25
Minimum Cost Source Location Problem with Local 3-Vertex-Connectivity Requirements
Hitoshi FUJITA, Toshimasa ISHII, Hiroshi NAGAMOCHI,
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Abstract(in English) Let G= (V,E) be a simple undirected graph with a set V of vertices and a set E of edges. Each vertex v∈V has a demand d (v)∈Z_+ and a cost c (v)∈R_+, where Z_+ and R_+ denote the set of nonnegative integers and the set of nonnegative reals, respectively. The source location problem with vertex-connectivity in a given graph G asks to find a set S of vertices minimizing Σ_ c (v) sucn that there are at least d (v) pairwise vertex-disjoint paths from S to v for each vertex v∈V-S. It is known that if there exists a vertex v∈V with d (v)≧4, then the problem is NP-hard even in the case where every vertex has a uniform cost. In this paper, we show that the problem can be solved in polynomial time.
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Keyword(in English) graph algorithm / undirected graph / location problem / local vertex-connectivity / polynomial time algorithm
Paper # COMP2003-33
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Conference Information
Committee COMP
Conference Date 2003/7/25(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Minimum Cost Source Location Problem with Local 3-Vertex-Connectivity Requirements
Sub Title (in English)
Keyword(1) graph algorithm
Keyword(2) undirected graph
Keyword(3) location problem
Keyword(4) local vertex-connectivity
Keyword(5) polynomial time algorithm
1st Author's Name Hitoshi FUJITA
1st Author's Affiliation Department of Information and Computer Science, Toyohashi University of Technology()
2nd Author's Name Toshimasa ISHII
2nd Author's Affiliation Department of Information and Computer Science, Toyohashi University of Technology
3rd Author's Name Hiroshi NAGAMOCHI
3rd Author's Affiliation Department of Information and Computer Science, Toyohashi University of Technology
Date 2003/7/25
Paper # COMP2003-33
Volume (vol) vol.103
Number (no) 246
Page pp.pp.-
#Pages 8
Date of Issue