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Short solution of Kotzig's problem for bipartite graphs
Luleå University of Technology.
1998 (English)In: Journal of combinatorial theory. Series B (Print), ISSN 0095-8956, E-ISSN 1096-0902, Vol. 74, no 2, p. 160-168Article in journal (Refereed) Published
Abstract [en]

In 1975, A. Kotzig posed the following problem: LetGbe at-regular graph which has a proper edget-coloring,t4. Is it possible to obtain, from one proper edget-coloring ofG, any other proper edge t-coloring of G using only transformations of 2-colored and 3-colored subgraphs such that the intermediate colorings are also proper? The author and A. N. Mirumian proved that it is possible ifGis a bipartite graph. We give here a short proof of this result

Place, publisher, year, edition, pages
1998. Vol. 74, no 2, p. 160-168
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-8221DOI: 10.1006/jctb.1998.1838ISI: 000077120900004Scopus ID: 2-s2.0-0038898369Local ID: 6b0f33e0-ba75-11db-b560-000ea68e967bOAI: oai:DiVA.org:ltu-8221DiVA, id: diva2:981112
Note

Godkänd; 1998; 20070131 (kani)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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