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Inverse problems of matroid intersection
Cai, MC
1999-12-01
Source PublicationJOURNAL OF COMBINATORIAL OPTIMIZATION
ISSN1382-6905
Volume3Issue:4Pages:465-474
AbstractIn this paper we study the inverse problem of matroid intersection: Two matroids M-1 = (E, I-1) and M-2 = (E, I-2), their intersection B, and a weight function w on E are given. We try to modify weight w, optimally and with bounds, such that B becomes a maximum weight intersection under the modified weight. It is shown in this paper that the problem can be formulated as a combinatorial linear program and can be further transformed into a minimum cost circulation problem. Hence it can be solved by strongly polynomial time algorithms. We also give a necessary and sufficient condition for the feasibility of the problem. Finally we extend the discussion to the version of the problem with Multiple Intersections.
KeywordInverse problem matroid intersection minimum cost circulation strongly polynomial algorithm
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mathematics, Applied
WOS IDWOS:000084252700008
PublisherKLUWER ACADEMIC PUBL
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14505
Collection中国科学院数学与系统科学研究院
AffiliationAcad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Cai, MC. Inverse problems of matroid intersection[J]. JOURNAL OF COMBINATORIAL OPTIMIZATION,1999,3(4):465-474.
APA Cai, MC.(1999).Inverse problems of matroid intersection.JOURNAL OF COMBINATORIAL OPTIMIZATION,3(4),465-474.
MLA Cai, MC."Inverse problems of matroid intersection".JOURNAL OF COMBINATORIAL OPTIMIZATION 3.4(1999):465-474.
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