On a Topological Space Generated by Monophonic Eccentric Neighborhoods of a Graph
Anabel E. Gamorez, Sergio R. Canoy
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.
Topics & Concepts
MathematicsTopology (electrical circuits)Vertex (graph theory)GraphTopological spaceDiscrete spaceTopological graph theoryCombinatoricsDiscrete mathematicsVoltage graphLine graphMathematical analysisGraph Labeling and Dimension ProblemsGraph theory and applicationsAdvanced Graph Theory Research