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A note on uniquely pancyclic graphs
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2009 (English)In: The Australasian Journal of Combinatorics, ISSN 1034-4942, Vol. 44, 105-110 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we consider uniquely pancyclic graphs, ie n vertex graphs with exactly one cycle of each length from 3 to n. The first result of the paper gives new upper and lower bounds on the number of edges in a uniquely pancyclic graph. Next we report on a computer search for new uniquely pancyclic graphs. We found that there are no new such graphs on n ≤  59 vertices and that there are no uniquely pancyclic graphs with exactly 5 chords.

Place, publisher, year, edition, pages
2009. Vol. 44, 105-110 p.
National Category
Mathematics
Research subject
Mathematical Statistics
Identifiers
URN: urn:nbn:se:umu:diva-31671OAI: oai:DiVA.org:umu-31671DiVA: diva2:293855
Available from: 2010-02-15 Created: 2010-02-15 Last updated: 2017-12-12Bibliographically approved

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