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On factors with all degrees odd

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Abstract

A {1,3,...,2n−1}-factor of a graphG is defined to be a spanning subgraph ofG each degree of whose vertices is one of {1,3,...,2n−1}, wheren is a positive integer. In this paper, we give criterions for the existence of a {1,3,...,2n−1}-factor in a tree and in a graph.

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  1. Faculty of Science, Kwansei Gakuin University, 662, Nishinomiya, Japan

    Atsushi Amahashi

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  1. Atsushi Amahashi
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Amahashi, A. On factors with all degrees odd. Graphs and Combinatorics 1, 111–114 (1985). https://doi.org/10.1007/BF02582935

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  • DOI: https://doi.org/10.1007/BF02582935

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