Z-graphic topology on undirected graph

In this work, we define $\mathcal{Z}_{G}$ a topology on the vertex set of a graph $G$ which preserves the connectivity of the graph, called $\mathcal{Z}$-graphic topology. We prove that two isomorphic graphs have homeomorphic and symmetric $\mathcal{Z}$-graphic topologies. We show that $\mathcal{Z}...

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Bibliographic Details
Main Authors: Hanan Omer Zomam, Makkia Dammak
Format: Article
Language:English
Published: Elsevier 2023-03-01
Series:Kuwait Journal of Science
Online Access:https://journalskuwait.org/kjs/index.php/KJS/article/view/17541
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