International Journal of Academic and Applied Research (IJAAR)   Year: 2023 | Volume: 7 | Issue: 7 | Page No.: 22-27 Constructed Discrete Topological Space from Certain Topological Graphs Download PDF Mohammed A. Abdlhusein and Mays K. Idan, 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.