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  • 1.
    Asratian, Armen.S.
    Luleå University of Technology.
    Short solution of Kotzig's problem for bipartite graphs1998In: Journal of combinatorial theory. Series B (Print), ISSN 0095-8956, E-ISSN 1096-0902, Vol. 74, no 2, p. 160-168Article in journal (Refereed)
    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

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