SOME GRAPH OPERATORS AND ITS APPLICATIONS
A. A. NASEF
Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh, Egypt
Department of Physics and Engineering Mathematics, Faculty of Engineering, Tanta University, Tanta, Egypt
M. HASSAN *
High Institute Engineering and Technology, Kafrelsheikh, Egypt
*Author to whom correspondence should be addressed.
In the present paper, we introduce and investigate some properties on graph, also study some comparisons interior, closure, boundary and connectedness between graph concepts and approximation structure concepts. We initiate new scale by general forms of interior and closure on graph in three methods. We also discuss independence and dependence of two graphs through a new scale. We apply new concepts on electrical model to illustrate some properties on this model and the corresponding topological structure by using graph theory concepts.
Keywords: Graph theory, simple graph, connected graph, dependence of subgraphs and graph modeling