5-Cycle Systems with Holes

Darryn E. Bryant, D. G. Hoffman and C. A. Rodger
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Darryn E. Bryant: The University of Queensland, Centre for Combinatorics, Department of Mathematics
D. G. Hoffman: Auburn University, Department of Discrete and Statistical Sciences
C. A. Rodger: Auburn University, Department of Discrete and Statistical Sciences

A chapter in Designs and Finite Geometries, 1996, pp 103-108 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-1395-3_7

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DOI: 10.1007/978-1-4613-1395-3_7

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