Partite-claw-decomposition of a complete multipartite graph

Fault Tolerant Routings in Complete Multipartite Graph

The f -tolerant arc-forwarding index for a class of complete multipartite graphs are determined by constructing relevant fault tolerant routings. Furthermore, these routings are leveled for Cocktail-party graph and the complete 3-partite graph. Mathematics Subject Classification: 05C38, 05C90, 90B10

The diameter of an orientation of a complete multipartite graph

The interval number of a complete multipartite graph

The interval number of a graph G, denoted i(G), is the least positive integer t for which G is the intersection graph of a family of sets each of which is the union of at most t cIosed intervals of the real line IR. Trotter and Harary showed that the interval number of the complete bipartite graph K(m, n) is [(mn + I)/(m + n)]. Matthews showed that the interval number of the complete multiparti...

Heterochromatic tree partition number of a complete multipartite graph

A heterochromatic tree is an edge-colored tree in which any two edges have different colors. The heterochromatic tree partition number of an r-edge-colored graph G, denoted by tr(G), is the minimum k such that whenever the edges of the graph G are colored with r colors, the vertices of G can be covered by at most k vertexdisjoint heterochromatic trees. In this paper we determine the heterochrom...

Graph decomposition is NPC - A complete proof