Eccentric Digraph of Cocktail Party Graph and Hypercube

Main Authors: Kusmayadi, Tri Atmojo, Sudibyo, Nugroho Arif
Format: Article info application/pdf eJournal
Bahasa: eng
Terbitan: Institut Teknologi Sepuluh Nopember , 2011
Subjects:
Online Access: http://iptek.its.ac.id/index.php/jts/article/view/74
http://iptek.its.ac.id/index.php/jts/article/view/74/65
Daftar Isi:
  • 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.