Topological modelling of helm graph in terms of order.

Material science has witnessed many applications of Mathematics involving Graph theory and Topology. In this paper some concepts of Graph theory and Topology has been linked together. The order of points of a topological space with topology as incidence topology generated by Comb graph and Helm graph has been presented in this paper. Also, the order of edges with respect to respective incidence topology of these special graphs have been studied. Various results based on connectedness and separation axioms of the incidence topology generated by these graphs have been discussed. Moreover, order of these nodes and edges with respect to the incidence topology has been established and generalized for these special graphs and supporting examples are illustrated along with the results. [ABSTRACT FROM AUTHOR]