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A min-max theorem on tournaments
Chen, Xujin; Hu, Xiaodong; Zang, Wenan
2007
Source PublicationSIAM JOURNAL ON COMPUTING
ISSN0097-5397
Volume37Issue:3Pages:923-937
AbstractWe present a structural characterization of all tournaments T = ( V, A) such that, for any nonnegative integral weight function defined on V, the maximum size of a feedback vertex set packing is equal to the minimum weight of a triangle in T. We also answer a question of Frank by showing that it is NP- complete to decide whether the vertex set of a given tournament can be partitioned into two feedback vertex sets. In addition, we give exact and approximation algorithms for the feedback vertex set packing problem on tournaments.
Keywordmin-max relation feedback vertex set tournament packing covering
DOI10.1137/060649987
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Theory & Methods ; Mathematics, Applied
WOS IDWOS:000249690800011
PublisherSIAM PUBLICATIONS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/4731
Collection应用数学研究所
Corresponding AuthorChen, Xujin
Affiliation1.Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Chen, Xujin,Hu, Xiaodong,Zang, Wenan. A min-max theorem on tournaments[J]. SIAM JOURNAL ON COMPUTING,2007,37(3):923-937.
APA Chen, Xujin,Hu, Xiaodong,&Zang, Wenan.(2007).A min-max theorem on tournaments.SIAM JOURNAL ON COMPUTING,37(3),923-937.
MLA Chen, Xujin,et al."A min-max theorem on tournaments".SIAM JOURNAL ON COMPUTING 37.3(2007):923-937.
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