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Research Article Open access CC BY 3.0

Products and Eccentric Diagraphs

Medha Itagi Huilgol, Syed Asif Ulla S.

Journal of Advances in Mathematics and Computer Science · pp. 805–816 · Published 16 Jan 2014

10.9734/BJMCS/2014/6348

Abstract

The eccentricity e(u) of a vertex u is the maximum distance of u to any other vertex of G. A vertex v is an eccentric vertex of vertex u if the distance from u to v is equal to e(u). The eccentric digraph ED(G) of a graph(digraph) G is the digraph that has the same vertex as G and an arc from u to v exists in ED(G) if and only if v is an eccentric vertex of u in G. In this paper, we consider the eccentric digraphs of different products of graphs, viz., cartesian, normal, lexicographic, prism, etc.

Eccentric vertex eccentric digraph cartesian product lexicographic product normal product prism of graphs.

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