Complete multipartite decompositions of complete graphs and completen-partite graphs
โ Scribed by Huang Qingxue
- Book ID
- 107500610
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2003
- Tongue
- English
- Weight
- 387 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1005-1031
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๐ SIMILAR VOLUMES
A fair hamilton decomposition of the complete multipartite graph G is a set of hamilton cycles in G whose edges partition the edges of G in such a way that, for each pair of parts and for each pair of hamilton cycles H 1 and H 2 , the difference in the number of edges in H 1 and H 2 joining vertices
In this paper we give a procedure by which Hamiltonian decompositions of the s-partite graph K~.....,~, where (s-1)n is even, can be constructed. For 2t<~s, l<~al<~...<~a~n, we find conditions which are necessary and sufficient for a decomposition of the edge-set of Kal.a2..... ~ into (s-1)n/2 class