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Every 3-connected, locally connected, claw-free graph is Hamilton-connected
Department of Mathematics, University of Umeå, Sweden / Department of Mathematical Cybernetics, Yerevan State University, Yerevan, Republic of Armenia.
1996 (English)In: Journal of Graph Theory, ISSN 0364-9024, E-ISSN 1097-0118, Vol. 23, no 2, p. 191-201Article in journal (Refereed) Published
Abstract [en]

A graph G is locally connected if the subgraph induced by the neighbourhood of each vertex is connected. We prove that a locally connected graph G of order p ≥ 4, containing no induced subgraph isomorphic to K1,3, is Hamilton-connected if and only if G is 3-connected. © 1996 John Wiley & Sons, Inc.

Place, publisher, year, edition, pages
John Wiley & Sons, 1996. Vol. 23, no 2, p. 191-201
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Mathematics
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URN: urn:nbn:se:liu:diva-143760DOI: 10.1002/(SICI)1097-0118(199610)23:2<191::AID-JGT10>3.0.CO;2-KOAI: oai:DiVA.org:liu-143760DiVA, id: diva2:1166654
Available from: 2017-12-15 Created: 2017-12-15 Last updated: 2017-12-15Bibliographically approved

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