On a Topological Space Generated by Monophonic Eccentric Neighborhoods of a Graph

Anabel Enriquez Gamorez, Sergio R. Canoy Jr.

Abstract

In this paper, we present a way of constructing a topology on a vertex set of a graph using monophonic eccentric neighborhoods of the graph G. In this type of construction, we characterize those graphs that induced the indiscrete topology, the discrete topology, and a particular point topology.

Keywords

topology; graph; monophonic distance; monophonic eccentric neighborhood

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