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Factorizations of the Complete Graph into C 5-Factors and 1-Factors

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Abstract.

In this paper, we show that K 10 n can be factored into α C 5-factors and β 1-factors for all non-negative integers α and β satisfying 2α+β=10n−1.

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Authors and Affiliations

  1. Department of Mathematics, The University of Queensland, Qld 4072, Australia

    Peter Adams & Darryn Bryant

  2. Department of Mathematics, Illinois State University, Normal, IL 61790–4520, USA

    Saad I. El-Zanati

  3. Department of Mathematics & Statistics, University of Vermont, 16 Colchester Ave., Burlington, VT 05401–0156, USA

    Heather Gavlas

Authors
  1. Peter Adams
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  2. Darryn Bryant
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  3. Saad I. El-Zanati
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  4. Heather Gavlas
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Research partially supported by an NSF-AWM Mentoring Travel Grant

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Adams, P., Bryant, D., El-Zanati, S. et al. Factorizations of the Complete Graph into C 5-Factors and 1-Factors. Graphs and Combinatorics 19, 289–296 (2003). https://doi.org/10.1007/s00373-002-0509-5

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  • DOI: https://doi.org/10.1007/s00373-002-0509-5

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