Recently, Tavakoli et al. [6] introduced a new version of Zagreb indices, named as vertex Zagreb indices. In this paper explicit expressions of different graphs operations of vertex Zagreb indices are presented and also as an application, explicit formulas for vertex Zagreb indices of some chemical graphs are obtained.

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In this paper we investigate first Zagreb index, F-index and F-coindex of the line graph of some chemical graphs using the subdivision concept.

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Keywords: Topological index; vertex degree; first and second Zagreb indices; F index; graph opera- ,The fence graph is the composition of Pn and P2 and the closed fence graph is the composition ,[9] N. De, A. Pal, and S.M.A. Nayeem, The irregularity of some composite graphs, Int. J. Appl. Comput.

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