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Circuit double covers in special types of cubic graphs
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2009 (English)In: Discrete Mathematics, ISSN 0012-365X, E-ISSN 1872-681X, Vol. 309, no 18, 5724-5728 p.Article in journal (Refereed) Published
Abstract [en]

Suppose that a 2-connected cubic graph G of order n has a circuit C of length at least n−4 such that GV(C) is connected. We show that G has a circuit double cover containing a prescribed set of circuits which satisfy certain conditions. It follows that hypohamiltonian cubic graphs (i.e., non-hamiltonian cubic graphs G such that Gv is hamiltonian for every vV(G)) have strong circuit double covers.

Place, publisher, year, edition, pages
2009. Vol. 309, no 18, 5724-5728 p.
Keyword [en]
Circuit double cover; Hypohamiltonian cubic graphs
National Category
Discrete Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-22716DOI: 10.1016/j.disc.2008.05.018OAI: oai:DiVA.org:umu-22716DiVA: diva2:217689
Available from: 2009-05-15 Created: 2009-05-15 Last updated: 2017-12-13Bibliographically approved

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Häggkvist, Roland
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