Resolvable decomposition of Kn∗
✍ Scribed by J.C Bermond; A Germa; D Sotteau
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 357 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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.
Let H be a fixed graph. An H -decomposition of K n is a coloring of the edges of K n such that every color class forms a copy of H . Each copy is called a member of the decomposition. The resolution number of an H -decomposition L of K n , denoted χ (L), is the minimum number t such that the color c
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