On intersection graph of dihedral group

Abstract

Let G be a finite group. The intersection graph of G is a graph whose vertex set is the set of all proper non-trivial subgroups of G and two distinct vertices H and K are adjacent if and only if H∩K≠{e}, where e is the identity of the group G. In this paper, we investigate some properties and exploring the metric dimension and the resolving polynomial of the intersection graph of D_2p2. We also find some topological indices such as Wiener, Hyper-Wiener, first and second Zagreb, Schultz, Gutman and eccentric connectivity indices of the intersection graph of D_2n for n=p², where p is prime.