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
The diameter of an orientation of a complete multipartite graph
β Scribed by K.M. Koh; B.P. Tan
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 390 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0012-365X
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β¦ Synopsis
For a graph G, let e(G) denote the minimum value of the diameters diamD of D, where D runs through all the orientations of G. In this paper, we obtain some results on e(G) for complete multipartite graphs G, which extend some known results due to Boesch and Tindell [1] and Maurer [4].
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