Subspace spanning graph topological spaces of graphs

Author
Aniyan, Achu

Naduvath, Sudev

Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5674
10.22199/issn.0717-6279-5674
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.
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