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Indecomposable factorizations of multigraphs

โœ 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

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โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


Constructing indecomposable 1-factorizat
โœ Dan Archdeacon; Jeffrey H. Dinitz ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 762 KB

Archdeacon, D. and J.H. Dinitz. Constructing indecomposable I-factorizations of the complete multigraph, Discrete Mathematics 92 (1991) 9-19.

One-factorizations of complete multigrap
โœ Gy. Kiss ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 82 KB

## Abstract A new infinite family of simple indecomposable oneโ€factorizations of the complete multigraphs is constructed by using quadrics of finite projective spaces. ยฉ 2002 Wiley Periodicals, Inc. J Combin Designs 10: 139โ€“143, 2002; DOI 10.1002/jcd.997

Factorization of regular multigraphs int
โœ S. I. El-Zanati; M. J. Plantholt; S. K. Tipnis ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 618 KB

## Abstract A regular multigraph with maximum multiplicity __r__ and degree __rs__ cannot always be factored into __r s__โ€regular 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

An Asymptotic Version of the Multigraph
โœ E. R. Vaughan ๐Ÿ“‚ Article ๐Ÿ“… 2012 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 504 KB

## Abstract We give a selfโ€contained 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 1โ€factorizable. This generalizes results of Perkoviฤ‡ and Reed (Discrete Ma