SPECIAL GRAPHS AND THEIR ZAGREB INDICES: A COMPARATIVE STUDY

Abstract

A simple, finite and connected graph is denoted by G=(V,E). The primary Zagreb index, denoted as M1(G), characterizes the graph topologically by representing a squared degree sum of their vertices. Similarly, M2(G) denotes a second Zagreb index, that offers a topological measure of summing the degree of the product for adjacent vertices of graph G. We investigate a study of this topological indices M1(G)&M2(G) and got some interesting results also.

Keywords

• zagreb indices
• first zagreb index
• second zagreb index
• fan graph
• barbell graph