𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Partition of odd regular graphs into bistars

✍ Scribed by Francois Jaeger; Charles Payan; Mekkia Kouider


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
84 KB
Volume
46
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Regular path decompositions of odd regul
✍ Odile Favaron; FranΓ§ois Genest; Mekkia Kouider πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 197 KB

## Abstract Kotzig asked in 1979 what are necessary and sufficient conditions for a __d__‐regular simple graph to admit a decomposition into paths of length __d__ for odd __d__>3. For cubic graphs, the existence of a 1‐factor is both necessary and sufficient. Even more, each 1‐factor is extendable

Factorization of regular multigraphs int
✍ S. I. El-Zanati; M. J. Plantholt; S. K. Tipnis πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 618 KB

## Abstract A regular multigraph with maximum multiplicity __r__ and degree __rs__ cannot always be factored into __r s__‐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

On partitions of graphs into trees
✍ F.R.K. Chung πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 934 KB

We crgnsider the minimum m\*-nber T(G) of subsets intl:, which the edge set E(G) of a graph G can lx partitioned so that each subset forms a tree. It is shown that for any connected (3 with II vertices, we always have T( Gj s [$I.