Topologies Induced by Vertex Set of Graphs

Topologies Induced Graphs

Authors

  • Gnanachandra Paulraj Madurai Kamaraj University
  • lalitha Madurai Kamaraj University

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.

Author Biography

lalitha, Madurai Kamaraj University

Department of Mathematics, Sri Kaliswari College, Sivakasi - 626130, Tamilnadu, India.

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Published

2023-01-19

Issue

Section

Mathematical Sciences