G-Supra and G-Infra space

Sutha Devi, Eswari K

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.


Keywords


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

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References


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DOI: http://dx.doi.org/10.23755/rm.v48i0.1353

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