Eccentric Digraph of Cocktail Party Graph and Hypercube
Main Authors: | Kusmayadi, Tri Atmojo, Sudibyo, Nugroho Arif |
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Format: | Article info application/pdf eJournal |
Bahasa: | eng |
Terbitan: |
Institut Teknologi Sepuluh Nopember
, 2011
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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.