Further remarks on partitioning the edges of a graph
β Scribed by A.J.W Hilton; Rhys Price Jones
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 80 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For any positive integer s, an s-partition of a graph G = ( ! -( β¬I is a partition of E into El U E2 U U E k, where 14 = s for 1 I i 5 k -1 and 1 5 1 4 1 5 s and each β¬; induces a connected subgraph of G. We prove (i) if G is connected, then there exists a 2-partition, but not neces-(ii) if G is 2-e
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