Results on order with respect to incidence topology-modelling of path graph.

Material Science is a field that applies many aspects of Mathematics, including topology and graph theory. In this paper, the order of elements of a topological space with topology as incidence topology generated by Path graph has been studied. Various results based on connectedness and separation axioms of the incidence topology generated by path graph have been discussed. Moreover, order of these nodes as well as order of edges with respect to the incidence topology have been established and generalized for these graphs and sufficient examples are illustrated to support the results. [ABSTRACT FROM AUTHOR]