F -Sums of Graphs and their Reformulated-Zagreb Indices

Document Type : Research Articles


1 Department of Mathematics, Government Arts , College(Autonomous) Kumbakonam 612 002, India

2 Department of Mathematics, CK College of Engineering and Technology, Cuddalore, India



The reformulated Zagreb index EM1(G) of a simple graph G is defined as the sum of the
terms (du + dv − 2)2 over all edges uv of G. In this paper, we study the reformulated Zagreb
indices for the F -sums of some special well-known graphs such as subdivision and total graph
which is introduced by Eliasi and Taeri [2].