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NEW TOPOLOGIES ON A GRAPH
Keywords:
isomorphic graphs, Alexandroff topology, topological properties.DOI:
https://doi.org/10.17654/0974165823013Abstract
Previously, some structures of topologies on graphs were presented on a set of nodes or edges (arcs) only. In this paper, we define a topology on a set of nodes and edges of an undirected graph, and two topologies on a set of nodes and arcs of a directed graph. Moreover, we present some topological properties of these spaces and discuss some relationship between them and the graphs. Also, we show that these topologies satisfy the property of being Alexandroff.
Received: November 18, 2022;
Revised: January 17, 2023;
Accepted: January 27, 2023;
References
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