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Hamilton Cycle Rich 2-factorizations of Complete Multipartite Graphs

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Abstract

For any two 2-regular spanning subgraphs G and H of the complete multipartite graph K, necessary and sufficient conditions are found for the existence of a 2-factorization of K in which

  1. 1.

    the first and second 2-factors are isomorphic to G and H respectively, and

  2. 2.

    each other 2-factor is a hamilton cycle

in the case where K has an odd number of vertices.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Auburn University, 221 Parker Hall, Auburn, AL, 36849-5310, USA

    L. McCauley & C. A. Rodger

Authors
  1. L. McCauley
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  2. C. A. Rodger
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Correspondence to C. A. Rodger.

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McCauley, L., Rodger, C.A. Hamilton Cycle Rich 2-factorizations of Complete Multipartite Graphs. Graphs and Combinatorics 24, 47–52 (2008). https://doi.org/10.1007/s00373-008-0763-2

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  • DOI: https://doi.org/10.1007/s00373-008-0763-2

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