A study on graph topology

Title

A study on graph topology

Creator

Aniyan A.; Naduvath S.

Description

The concept of topology defined on a set can be extended to the field of graph theory by defining the notion of graph topologies on graphs where we consider a collection of subgraphs of a graph G in such a way that this collection satisfies the three conditions stated similarly to that of the three axioms of point-set topology. This paper discusses an introduction and basic concepts to the graph topology. A subgraph of G is said to be open if it is in the graph topology TG. The paper also introduces the concept of the closed graph and the closure of graph topology in graph topological space using the ideas of decomposition-complement and neighborhood-complement. 2023 Azarbaijan Shahid Madani University.

Source

Communications in Combinatorics and Optimization, Vol-8, No. 2, pp. 397-409.

Date

2023-01-01

Publisher

Azarbaijan Shahid Madani University

Subject

dclosure; graph topological space; Graph topology; n-closure; T-interior; T-neighbourhood

Coverage

Aniyan A., Department of Mathematics, CHRIST(Deemed to be University), Bangalore, India; Naduvath S., Department of Mathematics, CHRIST(Deemed to be University), Bangalore, India

Rights

Restricted Access

Relation

ISSN: 25382128

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.22049/CCO.2022.27399.1253

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