Presentation 2009-01-30
VNS-based Enhancing of a Distributed Branch-and-Bound Algorithm ParaBSC for the Graph Coloring Problem
Yukihiro DOGO, Satoshi TAOKA, Toshimasa WATANABE,
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Abstract(in English) Given an undirected graph G, a coloring is an assignment of colors to vertices of G such that any pair of adjacent vertices (they are linked by an edge) have different colors. The graph coloring problem is a problem of obtaining the smallest number of colors needed to color all vertices of G as well as its coloring (called "an exact coloring"), and it is known to be NP-hard. So a distributed branch-and-bound algorithm ParaBSC has been proposed in order to obtain an exact coloring rapidly. Even if it is used, its computing time is likely to increase exponentially. In this paper, ParaBSC is going to be enhanced by utilizing a heuristic coloring procedure VNS_TO, and its capability is evaluated through computing experiment.
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Keyword(in English) Graph coloring problems / chromatic numbers / variable neighborhood search / approximation algorithms / branch-and-bound algorithms
Paper # CST2008-52
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Committee CST
Conference Date 2009/1/22(1days)
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Registration To Concurrent System Technology (CST)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) VNS-based Enhancing of a Distributed Branch-and-Bound Algorithm ParaBSC for the Graph Coloring Problem
Sub Title (in English)
Keyword(1) Graph coloring problems
Keyword(2) chromatic numbers
Keyword(3) variable neighborhood search
Keyword(4) approximation algorithms
Keyword(5) branch-and-bound algorithms
1st Author's Name Yukihiro DOGO
1st Author's Affiliation Faculty of Engineering, Hiroshima University()
2nd Author's Name Satoshi TAOKA
2nd Author's Affiliation Graduate School of Engineering, Hiroshima University
3rd Author's Name Toshimasa WATANABE
3rd Author's Affiliation Graduate School of Engineering, Hiroshima University
Date 2009-01-30
Paper # CST2008-52
Volume (vol) vol.108
Number (no) 415
Page pp.pp.-
#Pages 6
Date of Issue