Four new operations related to composition and their reformulated Zagreb index

K Pattabiraman, A Santhakumar

Abstract


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.


Keywords


Reformulated Zagreb index, composition, subdivision, total graph

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References


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DOI: http://dx.doi.org/10.19184/ijc.2018.2.1.5

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