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Factors of r-partite graphs and bounds for the strong chromatic number
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics. (Matematik)
Institutionen för matematik och matematisk statistik, Umeå univeristet.
Institutionen för matematik och matematisk statistik, Umeå univeristet.
2010 (English)In: Ars combinatoria, ISSN 0381-7032, Vol. 95, p. 277-287Article in journal (Refereed) Published
Abstract [en]

We give an optimal degree condition for a tripartite graph to have a spanning subgraph consisting of complete graphs of order 3. This result is used to give an upper bound of 2 Delta for the strong chromatic number of n vertex graphs with Delta >= n/6.

Place, publisher, year, edition, pages
2010. Vol. 95, p. 277-287
National Category
Discrete Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-12924ISI: 000276676500025OAI: oai:DiVA.org:hig-12924DiVA, id: diva2:552961
Available from: 2012-09-17 Created: 2012-09-17 Last updated: 2018-03-13Bibliographically approved

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http://urn:nbn:se:umu:diva-41319

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Johansson, Anders

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