Cycle Decompositions of Kn and Kn−I
✍ Scribed by Brian Alspach; Heather Gavlas
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 251 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
✦ Synopsis
We establish necessary and sufficient conditions for decomposing the complete graph of even order minus a 1-factor into even cycles and the complete graph of odd order into odd cycles.
📜 SIMILAR VOLUMES
Let K,,, be the complete g.'aph of order m. We prove that the Cartesian sum K,, + K, can be decomposed into 4( nt + n -2) hamiltonian cycles if m + n is even and into &m i-II -3) hamiltonian cycles and a perfect matching if m + n i? odd. Soit K, le graphe complet d'ordre tn. Nous dkmontrons que la
## Abstract This paper considers the cycle covering of complete graphs motivated by the design of survivable WDM networks, where the requests are routed on INF‐networks which are protected independently from each other. The problem can be stated as follows: for a given graph __G__, find a cycle cov