Vol. 22 No. 1 (2023): Mapana Journal of Sciences
Research Articles

Topologies Induced by Vertex Set of Graphs: Topologies Induced Graphs

Gnanachandra Paulraj
Madurai Kamaraj University
lalitha
Madurai Kamaraj University
Bio

Published 2023-01-19

Keywords

  • subbasis for a topology,
  • discrete topology,
  • closure, exterior, boundary

Abstract

In this paper, subbasis for different topologies on vertex set of  a  simple graph without isolated vertices is introduced. Some properties of these topologies are investigated. Interior, closure, exterior and boundary of a vertex induced subgraph were defined and some basic properties were studied.

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