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5-Cycle Systems with Holes

  • Darryn E. Bryant
  • D. G. Hoffman
  • C. A. Rodger

Abstract

Recently the generalized Doyen-Wilson problem of embedding a 5-cycle system of order u in one of order υ was completely solved. However it is often useful to solve the more general problem of the existence of a 5-cycle system of order υ with a hole of size u. In this paper we completely solve this problem.

Keywords

Maximum Degree Steiner Triple System Maximum Packing Apply Lemma Order Versus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Kluwer Academic Publishers, Boston 1996

Authors and Affiliations

  • Darryn E. Bryant
    • 1
  • D. G. Hoffman
    • 2
  • C. A. Rodger
    • 2
  1. 1.Centre for Combinatorics, Department of MathematicsThe University of QueenslandAustralia
  2. 2.Department of Discrete and Statistical SciencesAuburn UniversityAuburnUSA

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