Solving the undirected feedback vertex set problem by local search

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	Solving the undirected feedback vertex set problem by local search
	Zhou, HJ
刊名	EUROPEAN PHYSICAL JOURNAL B
	2014
卷号	87 期号:11 页码:273
关键词	GRAPHS
ISSN号	1434-6028
通讯作者	Qin, SM (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.
英文摘要	An undirected graph consists of a set of vertices and a set of undirected edges between vertices. Such a graph may contain an abundant number of cycles, in which case a feedback vertex set (FVS) is a set of vertices intersecting with each of these cycles. Constructing a FVS of cardinality approaching the global minimum value is an optimization problem in the nondeterministic polynomial-complete complexity class, and therefore it might be extremely difficult for some large graph instances. In this paper we develop a simulated annealing local search algorithm for the undirected FVS problem by adapting the heuristic procedure of Galinier et al. [P. Galinier, E. Lemamou, M.W. Bouzidi, J. Heuristics 19, 797 (2013)], which worked for the directed FVS problem. By defining an order for the vertices outside the FVS, we replace the global cycle constraints by a set of local vertex constraints on this order. Under these local constraints the cardinality of the focal FVS is then gradually reduced by the simulated annealing dynamical process. We test this heuristic algorithm on large instances of Erdos-Renyi random graph and regular random graph, and find that this algorithm is comparable in performance to the belief propagation-guided decimation algorithm.
学科主题	Physics
收录类别	SCI
资助信息	National Basic Research Program of China [2013CB932804]; Chinese Academy of Sciences [KJCX2-EW-J02]; National Science Foundation of China [11121403, 11225526]
原文出处	http://dx.doi.org/10.1140/epjb/e2014-50289-7
语种	英语
WOS记录号	WOS:000354372000003
公开日期	2015-06-03
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15568]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Zhou, HJ. Solving the undirected feedback vertex set problem by local search[J]. EUROPEAN PHYSICAL JOURNAL B,2014,87(11):273.
APA	Zhou, HJ.(2014).Solving the undirected feedback vertex set problem by local search.EUROPEAN PHYSICAL JOURNAL B,87(11),273.
MLA	Zhou, HJ."Solving the undirected feedback vertex set problem by local search".EUROPEAN PHYSICAL JOURNAL B 87.11(2014):273.