International Journal of Academic and Applied Research (IJAAR)   Year: 2020 | Volume: 4 | Issue: 8 | Page No.: 5-19 Separation Axioms of IVIG-Induced Topological Space from Tritopological Space on Undirected Graphs Asmhan Flieh Hassan, Zainab Irhayyim Abed Abstract: In the present paper the definitions of separation axioms of IVIG-Induced Topology From Tritopological Space On Undirected Graph (locally finite graph) are introduced. and their basic properties are investigated with respect to three unique and well known topologies associated with graph, which are; The first is the newly we proposed (Independent Topology), the second is (Incident Topology) and the third (Graphic Topology). That is, the IG-T_i ; ( i=0,1,2,3,4) spaces and notions of IVIG-normal and IVIG-regular spaces are discussed in detail, also we introduce some theorems shows how one of the IVIG-topological spaces implies the others with the help of many examples. Giving a fundamental step toward studying some properties of locally finite graphs by their corresponding IVIG-separation axioms of tritopological spaces is our motivation.