Construction of an Alexandroff topology on the edge set of an undirected graph
Abstract
In this paper, we introduce a new topology TEG 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 TEG 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.
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How to Cite this Article
Hanan Omer Zomam, Construction of an Alexandroff topology on the edge set of an undirected graph, J. Math. Comput. Sci., 14 (2024), Article ID 5. https://doi.org/10.28919/10.28919/jmcs/8425
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.