Title: Generalized Approximation Space and Topological Structures in Graph Theory
Authors: Hassan H. Fandy, Khalid Sh. Al'Dzhabri
Volume: 8
Issue: 11
Pages: 116-122
Publication Date: 2024/11/28
Abstract:
: This paper introduces the concept of a generalized approximation space in the context of graph theory and topology. Two relations are defined as topological structures derived from graphs: the first is the H1-incidence composed ( resp H1-non incidence composed), which represents a supra topology, and the second is the H2-incidence composed ( resp H2-non incidence composed), which represents a topology. The study establishes that the H1 relation, as a supra topology, can be utilized with graphs to define the lower and upper sets in the generalized approximation space. Furthermore, it explores various relationships between these sets, contributing to a deeper understanding of their interactions within this framework.