G-Supra and G-Infra space

Authors

  • Sutha Devi Assistant Professor, Department of Mathematics, Ayya Nadar Janaki Ammal College, (Autonomous) Sivakasi
  • Eswari K Research Scholar Department of Mathematics Ayya Nadar Janaki Ammal College,(Autonomous) Sivakasi

DOI:

https://doi.org/10.23755/rm.v48i0.1353

Keywords:

supra operator, infra operator, G-supra topology, G-infra topology

Abstract

The main idea of this paper is to generate supra and infra topologies from simple undirected graphs. For this, we have introduced two new operators namely supra and infra operators which are defined on the power set of the vertex set of a graph. Moreover, we have also proved that the supra operator satisfying Kuratowski’s closure axiom will yield a topology. Further it was extended to develop the concept of connectedness and separation axioms on G-supra and G-infra spaces.

References

F. M. A. S. Mashhour, A. A. Allam, and F. H. Khedr. "On Supra Topological Spaces." Indian J. Pure and Appl. Math., 4(14):502–510, 1983.

N. Deo. "Graph Theory with Applications to Engineering and Computer Science." Dover Publications, Inc, Mineola, New York, 2016.

M. Adel and Al-Ddhari. "On Infra Topological Spaces." International Journal of Mathematical Archive, 6(11):179–184, 2015.

J. Munkres. "Topology: Updated Second Edition." Pearson India Education Services Pvt. Ltd, 2022.

R. Guerrero and S. Gervacio. "Characterization of Graphs Which Induce the Discrete and Indiscrete Topological Spaces." Matimyas Mathematica, 1986.

S. Diesto and S. Gervacio. "Finite Topological Graphs." Journal of Research and Development, 1(1):76–81, 1983.

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Published

2023-12-30

Issue

Vol. 48 (2023)

Section

Volume 48-2023

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