Further decompositions of complete tripartite graphs into 5-cycles
β Scribed by N.J. Cavenagh
- Book ID
- 108315741
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 395 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract For all odd integers __n__ββ₯β1, let __G~n~__ denote the complete graph of order __n__, and for all even integers __n__ββ₯β2 let __G~n~__ denote the complete graph of order __n__ with the edges of a 1βfactor removed. It is shown that for all nonβnegative integers __h__ and __t__ and all p
## Abstract Necessary conditions for the complete graph on __n__ vertices to have a decomposition into 5βcubes are that 5 divides __n__βββ1 and 80 divides __n__(__n__βββ1)/2. These are known to be sufficient when __n__ is odd. We prove them also sufficient for __n__ even, thus completing the spectr