The Hamilton-Waterloo Problem with C-4 and C-m factors


Odabsi U. , Ozkan S.

DISCRETE MATHEMATICS, vol.339, no.1, pp.263-269, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 339 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.1016/j.disc.2015.08.013
  • Journal Name: DISCRETE MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.263-269

Abstract

The Hamilton Waterloo problem with uniform cycle sizes asks for a 2-factorization of the complete graph K-v (for odd v) or K-v minus a 1-factor (for even v) where r of the factors consist of n-cycles and s of the factors consist of m-cycles with r + s = [v-1/2]. In this paper, the Hamilton Waterloo Problem with 4-cycle and m-cycle factors for odd m >= 3 is studied and all possible solutions with a few possible exceptions are determined. (C) 2015 Elsevier B.V. All rights reserved.