Title: Constructed Discrete Topological Space from Certain Topological Graphs
Authors: Mohammed A. Abdlhusein and Mays K. Idan,
Volume: 7
Issue: 7
Pages: 22-27
Publication Date: 2023/07/28
Abstract:
The present work aims is to convert certain topological graph to the discrete topological space by neighbourhoods of the graph vertices. The resulting topology is proved as a discrete topology. A new definition for the subbase is derived and denoted by ?NS?_(G_? ). It contains all sets of the vertices neighbourhoods. The base NB_(G_? ) is extracted from the intersection of all elements of ?NS?_(G_? ). Then, the neighborhood topology ?N??_(G_? ) is extracted from the union of all elements of ?NB?_(G_? ) with some examples.