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Cycle double covers and spanning minors II
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2006 (Swedish)In: Discrete Mathematics, ISSN 0012-365X, E-ISSN 1872-681X, Vol. 306, no 8-9, 762-778 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we continue our investigations from [R. Häggkvist, K. Markström, Cycle double covers and spanning minors, Technical Report 07, Department of Mathematics, Umeå University, Sweden, 2001, J. Combin. Theory, Ser. B, to appear] regarding spanning subgraphs which imply the existence of cycle double covers. We prove that if a cubic graph G has a spanning subgraph isomorphic to a subdivision of a bridgeless cubic graph on at most 10 vertices then G has a CDC. A notable result is thus that a cubic graph with a spanning Petersen minor has a CDC, a result also obtained by Goddyn [L. Goddyn, Cycle covers of graphs, Ph.D. Thesis, University of Waterloo, 1988].

Place, publisher, year, edition, pages
Amsterdam: North-Holland , 2006. Vol. 306, no 8-9, 762-778 p.
Identifiers
URN: urn:nbn:se:umu:diva-7649DOI: 10.1016/j.disc.2005.10.031OAI: oai:DiVA.org:umu-7649DiVA: diva2:147320
Available from: 2008-01-11 Created: 2008-01-11 Last updated: 2017-12-14Bibliographically approved

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