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Edge-colorings of K-m,K-n which Forbid Multicolored Cycles

dc.citation.epage84en_US
dc.citation.issueen_US
dc.citation.spage77en_US
dc.citation.volume90en_US
dc.citation.woscount0
dc.contributor.authorFu, Hung-Linen_US
dc.contributor.authorLo, Yuan-Hsunen_US
dc.contributor.authorPei, Ryo-Yuen_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.date.accessioned2014-12-08T15:31:37Z
dc.date.available2014-12-08T15:31:37Z
dc.date.issued2013-03-01en_US
dc.description.abstractA subgraph in an edge-colored graph is multicolored if all its edges receive distinct colors. In this paper, we study the proper edge-colorings of the complete bipartite graph K-m,K-n which forbid multicolored cycles. Mainly, we prove that (1) for any integer k >= 2, if n >= 5k - 6, then any properly n-edge-colored K-k,K-n contains a multicolored C-2k, and (2) determine the order of the properly edge-colored complete bipartite graphs which forbid multicolored C-6.en_US
dc.identifier.issn0315-3681en_US
dc.identifier.journalUTILITAS MATHEMATICAen_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/22415
dc.identifier.wosnumberWOS:000319710700005
dc.language.isoen_USen_US
dc.subjectedge-coloringen_US
dc.subjectcomplete bipartite graphen_US
dc.subjectmulticolored cycleen_US
dc.titleEdge-colorings of K-m,K-n which Forbid Multicolored Cyclesen_US
dc.typeArticleen_US

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