ING-induced topology from tritopological space on a locally finite graph

The aim of this article is to associate a tritopological space with a locally finite graph, and induce a new type of topology from three well-known topologies on the same locally finite graph. These are the three tritopologies proposed recently to associate topological spaces with undirected graphs, the first (Independent Topology), the second is (Non-Incidence Topology) and the third is (Graphic Topology). Then some results and properties of these tritopological spaces and new induced topologies were investigated. Giving a fundamental step toward studying some properties of locally finite graphs by their corresponding tritopological spaces is our motivation.