On the Spectrum of a Complete Multipartite Graph
β Scribed by Esser, Friedrich; Harary, Frank
- Book ID
- 123217578
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 522 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The euclidean dimension of a graph G, e(G), is the minimum n such that the vertices of G can be placed in euclidean n-space, R", in such a way that adjacent vertices have distance 1 and nonadjacent vertices have distances other than 1. Let G = K(n,, . , ns+,+J be a complete (s + t + u)-partite graph
## Necessary conditions for IK(n, r), the complete multipartite graph with r parts of size n in which each edge has multiplicity 1, to have a P,-factorization are nr=O(mod k) and i(r-l)kn=O(mod2(k-1)). We show that when n=O(modk) or r=O(modk), these two conditions are also sufficient. (This impli