Indonesian Journal of Combinatorics (Jun 2018)

Four new operations related to composition and their reformulated Zagreb index

  • K Pattabiraman,
  • A Santhakumar

DOI
https://doi.org/10.19184/ijc.2018.2.1.5
Journal volume & issue
Vol. 2, no. 1
pp. 35 – 49

Abstract

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The first 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 2017, Sarala et al. introduced four new operations (F-product) of graphs. In this paper, we study the first reformulated Zagreb index for the F-product of some special well-known graphs such as subdivision and total graph.

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