On degree based topological indices of bridge graphs

Abstract

In 2009, T. Mansour, M. Schork, introduce the concept of bridge graphs. A bridge graph B(G 1, G 2, … , Gm ) = B(G 1, G 2, … , Gm ; v 1, v 2, … , vm ) of with respect to the vertices is the graph obtained from the graphs G 1 ; G 2; … ; Gm by connecting the vertices vi and vi+1 by an edge for all I = 1; 2; … ; m-1. In this paper, we determine hyper-Zagreb index, first multiple Zagreb index, second multiple Zagreb index, Zagreb polynomials and M-polynomial for nano structures of bridge graphs.