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(G₁, G₂, … , G_m ) = B(G₁, G₂, … , G_m; v₁, v₂, … , v_m) of with respect to the vertices is the graph obtained from the graphs G₁; G₂; … ; G_m by connecting the vertices v_i and v_i+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.

Subject Classification:

• Primary 05C25

Keywords:

• Hyper-Zagreb index
• First multiple Zagreb index
• Second multiple Zagreb index
• Zagreb polynomials
• M-polynomial
• Nano structures of bridge graphs