We prove that any complete multipartite graph with parts of even size can be decomposed into closed trails with prescribed even lengths.
Edge partitions of complete multipartite graphs into equal length circuits
✍ Scribed by E.J Cockayne; B.L Hartnell
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 468 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0095-8956
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📜 SIMILAR VOLUMES
Let It'Qn; r) denote the complete s-partite graph Kin, n, '.., n). it is shown hzre that for all even n(r -I) 2, Kfn; P) is the union of n(r -'I)/2 of its Hamilton circrlits which are mutually edge-disjoint, and for all odd nfr -1) 3 1, K(n; P) is the union of b(P -f) -r,,rs f l t ii o I s amilton c
## 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