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5-Cycle Systems with Holes

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Abstract

Recently the generalized Doyen-Wilson problem of embeddinga 5-cycle system of order u in oneof order v was completely solved. However it isoften useful to solve the more general problem of the existenceof a 5-cycle system of order v witha hole of size u. In this paper we completely solvethis problem.

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Authors and Affiliations

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

    Darryn E. Bryant

  2. Department of Discrete andStatistical Sciences, Auburn University, 120 Math Annex, Auburn, Alabama, 36849-5307

    D. G. Hoffman & C. A. Rodger

Authors
  1. Darryn E. Bryant
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  2. D. G. Hoffman
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  3. C. A. Rodger
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Bryant, D.E., Hoffman, D.G. & Rodger, C.A. 5-Cycle Systems with Holes. Designs, Codes and Cryptography 8, 103–108 (1996). https://doi.org/10.1023/A:1018028824093

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  • DOI: https://doi.org/10.1023/A:1018028824093

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