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Proper Hamiltonian cycles in edge-colored multigraphs

dc.contributor.authorAgueda, R.
dc.contributor.authorBorozan, V.
dc.contributor.authorDíaz Sánchez, Raquel
dc.contributor.authorManoussakis, Y.
dc.contributor.authorMontero, L.
dc.date.accessioned2023-06-17T21:59:20Z
dc.date.available2023-06-17T21:59:20Z
dc.date.issued2017
dc.description.abstractA c-edge-colored multigraph has each edge colored with one of the c available colors and no two parallel edges have the same color. A proper Hamiltonian cycle is a cycle containing all the vertices of the multigraph such that no two adjacent edges have the same color. In this work we establish sufficient conditions for a multigraph to have a proper Hamiltonian cycle, depending on several parameters such as the number of edges and the rainbow degree.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/43762
dc.identifier.doi10.1016/j.disc.2017.03.013
dc.identifier.issn0012-365X
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0012365X17300936
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/17895
dc.issue.number8
dc.journal.titleDiscrete Mathematics
dc.language.isoeng
dc.page.final1902
dc.page.initial1897
dc.publisherElsevier
dc.rights.accessRightsrestricted access
dc.subject.cdu514
dc.subject.keywordMultigraph
dc.subject.keywordProper Hamiltonian cycle
dc.subject.keywordEdge-colored graph
dc.subject.ucmGeometría
dc.subject.unesco1204 Geometría
dc.titleProper Hamiltonian cycles in edge-colored multigraphs
dc.typejournal article
dc.volume.number340
dspace.entity.typePublication
relation.isAuthorOfPublicationad6ca69d-67a0-4e6d-9177-6a5439e93ce3
relation.isAuthorOfPublication.latestForDiscoveryad6ca69d-67a0-4e6d-9177-6a5439e93ce3

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