Subspace spanning graph topological spaces of graphs

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-5674

Keywords:

spanning graph topology, subspace spanning graph topology, d-closed spanning graphs

Abstract

A collection of spanning subgraphs TS, of a graph G is said to be a spanning graph topology if it satisfies the three axioms: Nn, K0 ∈ TS where, n = |V (G)|, the collection is closed under any union and finite intersection. Let (X, T) be a topological space in point set topology and Y ⊆ X then, TY = {U ∩ Y : U ∈ T} is a topological space called a subspace topology or relative topology defined by T on Y . In this paper we discusses the subspace spanning graph topology defined by the graph topology TS on a spanning subgraph H of G.

Author Biographies

Achu Aniyan, Christ University.

Department of Mathematics.

Sudev Naduvath, Christ University.

Department of Mathematics.

References

A. Aniyan and S. Naduvath, “A study on graph topology”, Communications in Combinatorics and Optimization, vol. 8, no. 2, pp. 397-409, 2023. https://doi.org/10.22049/CCO.2022.27399.1253

A. Aniyan and S. Naduvath, “Subspace graph topologies of graphs”, Proyecciones (Antofagasta, On line), vol. 42, no. 2, pp. 521-532, 2022.

D. B. West, Introduction to graph theory, vol. 2. New Delhi: Prentice-Hall of India, 2001.

K. Karunakaran, “Topics in graph theory topological approach,” Ph.D. Thesis, University of Kerala, 2007.

A. Aniyan and S. Naduvatah, “Spanning graph topology of graphs”, Proyecciones (Antofagasta, On line), vol. 42, no. 2, pp. 479-488, 2023.

W.V. Kandasamy and F. Smarandache, Strong neutrosophic graphs and subgraph topological subspaces. Europa Nova, 2016.

J. R. Munkres, Topology. Pearson Education, 2014.

K. D. Joshi, Introduction to general topology. New Age International, 1983.

F. Harary, Graph theory. New Delhi: Narosa Publications, 1969.

J. A. Bondy and U.S.R. Murty, Graph theory. New York: Springer, 2008.

Published

2023-03-27

How to Cite

[1]
A. Aniyan and S. Naduvath, “Subspace spanning graph topological spaces of graphs”, Proyecciones (Antofagasta, On line), vol. 42, no. 2, pp. 479-488, Mar. 2023.

Issue

Section

Artículos