Construction of an Alexandroff topology on the edge set of an undirected graph

Zomam, Hanan Omer

doi:10.28919/jmcs/8425

J. Math. Comput. Sci. 14 (2024), Article ID 5

Construction of an Alexandroff topology on the edge set of an undirected graph

Hanan Omer Zomam

PDF (163.9 KB) https://doi.org/10.28919/jmcs/8425

Abstract

In this paper, we introduce a new topology T^E_G on the edge set of an undirected graph G=(V,E) named E-graphic topology. We will study some properties of this topology in particular we prove that T^E_G is an Alexandroff topology. In addition, we investigate the compactness, connectedness and relation with functions between graphs. Finally, we give some characterization of homeomorphism between two E-graphic topologies.

Published: 15 February 2024
Volume: 14 (2024)
License: CC BY 3.0

Copyright © 2024 Hanan Omer Zomam. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

H. O. Zomam, Construction of an Alexandroff topology on the edge set of an undirected graph, J. Math. Comput. Sci. 14 (2024), 5. https://doi.org/10.28919/jmcs/8425

BibTeX

@article{Zomam2024,
  author  = {Zomam, Hanan Omer},
  title   = {Construction of an Alexandroff topology on the edge set of an undirected graph},
  journal = {J. Math. Comput. Sci.},
  volume  = {14},
  year    = {2024},
  pages   = {5},
  doi     = {10.28919/jmcs/8425}
}