TY - JOUR
TI - Eccentric Digraph of Cocktail Party Graph and Hypercube
AU - Sudibyo, Nugroho Arif; Kusmayadi, Tri Atmojo
IS - Vol 22, No 4 (2011)
PB - Institut Teknologi Sepuluh Nopember
JO - IPTEK The Journal for Technology and Science
PY - 2011
UR - http://iptek.its.ac.id/index.php/jts/article/view/74
AB - 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.