Spanning graph topology of graphs

Title

Spanning graph topology of graphs

Creator

Aniyan A.; Naduvath S.

Description

The collection of subgraphs of a graph G containing G and the null graph K0, which is closed under union and intersection, is said to be a graph topology defined on G. In this paper, we investigate the idea of spanning graph topology of a graph G, where we consider the collection of spanning subgraphs of G satisfying the axioms analogous to the axioms of graph topology. We begin with the basic concepts of spanning graph topological space and later and introduce two spanning subgraph complements to define closed graphs in spanning graph topological spaces. 2023 World Scientific Publishing Company.

Source

Asian-European Journal of Mathematics, Vol-16, No. 7

Date

2023-01-01

Publisher

World Scientific

Subject

decomposition-closed graph; edge neighborhood-closed graph; S-interior; S-neighborhood; Spanning graph topology

Coverage

Aniyan A., Department of Mathematics, CHRIST (Deemed to Be University), Bangalore 560029, Karnataka, India; Naduvath S., Department of Mathematics, CHRIST (Deemed to Be University), Bangalore 560029, Karnataka, India

Rights

Restricted Access

Relation

ISSN: 17935571

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1142/S179355712350119X

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