Decomposition andl1-Embedding of Weakly Median Graphs
✍ Scribed by Hans-Jürgen Bandelt; Victor Chepoi
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 203 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Some sufficient conditions are proven for the complete graph of even order with a 1-factor removed to be decomposable into even length cycles. 0 1994 John Wiley & Sons, Inc. ## 1. Introduction It is natural to ask when a complete graph admits a decomposition into cycles of some fixed length. Since
Let n ≥ 2 be an integer. The complete graph K n with a 1-factor F removed has a decomposition into Hamilton cycles if and only if n is even. We show that K n -F has a decomposition into Hamilton cycles which are symmetric with respect to the 1-factor F if and only if n ≡ 2,4 mod 8. We also show that
## Abstract We determine the necessary and sufficient conditions for the existence of a decomposition of the complete graph of even order with a 1‐factor added into cycles of equal length. © 2003 Wiley Periodicals, Inc. J Combin Designs 11: 170–207, 2003; Published online in Wiley InterScience (www
We prove that every minimally strongly h-connected digraph can be decomposed into h + 1 acircuitic subgraphs. This result generalizes the following theorem of Mader. Every minimally h-connected graph is h + 1 colourable,