Archdeacon, D. and J.H. Dinitz. Constructing indecomposable I-factorizations of the complete multigraph, Discrete Mathematics 92 (1991) 9-19.
Indecomposable factorizations of multigraphs
โ Scribed by A.H. Baartmans; W.D. Wallis
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 592 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
A one-factorization of a complete multigraph is called decomposable if some proper subset of the factors also forms a one-factorization of a complete multigraph; otherwise it is indecomposable. Some results on the existence of indecomposable one-factor&ions will be proven.
๐ SIMILAR VOLUMES
## Abstract A new infinite family of simple indecomposable oneโfactorizations of the complete multigraphs is constructed by using quadrics of finite projective spaces. ยฉ 2002 Wiley Periodicals, Inc. J Combin Designs 10: 139โ143, 2002; DOI 10.1002/jcd.997
## Abstract A regular multigraph with maximum multiplicity __r__ and degree __rs__ cannot always be factored into __r s__โregular simple graphs. It is shown, however, that under general conditions a similar factorization can be achieved if we first allow the addition or deletion of a relatively sma
## Abstract We give a selfโcontained proof that for all positive integers __r__ and all , there is an integer such that for all any regular multigraph of order 2__n__ with multiplicity at most __r__ and degree at least is 1โfactorizable. This generalizes results of Perkoviฤ and Reed (Discrete Ma