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Indecomposable 1-factorizations of the complete multigraph

  • Published:1985-12 Issue:3 Volume:39 Page:334-343
  • ISSN:0263-6115
  • Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
  • language:en
  • Short-container-title:J Aust Math Soc A

Author:

Colbourn Charles J.,Colbourn Marlene J.,Rosa Alexander

Abstract

AbstractThe existence of 1-factorizations of the complete multigraph λKn which cannot be decomposed into 1-factorizations with smaller λ is studied.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference5 articles.

1. Steiner triple systems with given subspaces; another proof of the Doyen-Wilson theorem;Stern;Boll. Un. Mat. Ital.,1980

2. [3] Mendelsohn E. and Rosa A. , “One-factorizations of the complete graph–a survey”, J. Graph Theory, to appear.

3. A tournament problem

4. Parallelisms of Complete Designs

5. Tripling quadruple systems;Hartman;Ars Combinatoria,1980

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