ON A FINITE TOPOLOGICAL SPACE INDUCED BY HOP NEIGHBORHOODS OF A GRAPH
In this paper, we present a way of constructing a topology from a simple undirected graph by utilizing the hop neighborhoods of the graph. Under this construction of a topological space, we characterize those graphs which induce the indiscrete topology and the discrete topology. Moreover, we describe among others the topologies induced by the complete graph, the path, and the fan.
graph, topology, base, indiscrete, discrete.
