期刊名称:Majalah Iptek = IPTEK : The Journal for Technology and Science
印刷版ISSN:0853-4098
电子版ISSN:2088-2033
出版年度:2011
卷号:22
期号:4
DOI:10.12962/j20882033.v22i4.74
语种:English
出版社:IPTEK
摘要:Let G be a graph with a set of vertices V(G) and a set of edges E(G). The distance from vertex u to vertex v in G, denoted by d(u, v), is the length of the shortest path from vertex u to v. The eccentricity of vertex u in graph G is the maximum distance from vertex u to any other vertices in G, denoted by e(u). Vertex v is an eccentric vertex from u if d(u, v) = e(u). The eccentric digraph ED(G) of a graph G is a graph that has the same set of vertices as G, and there is an arc (directed edge) joining vertex u to v if v is an eccentric vertex from u. In this paper, we determine the eccentric digraph of a class of graph called the cocktail party graph and hypercube.
关键词:cocktail party graph; eccentric digraph; eccentricity; hypercube