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The multiplicative Zagreb indices of graph operations

The multiplicative Zagreb indices of graph operations

Abstract Recently, Todeschini et al. (Novel Molecular Structure Descriptors - Theory and Applications I, pp. 73-100, 2010), Todeschini and Consonni (MATCH Commun. Math. Comput. Chem. 64:359-372, 2010) have proposed the multiplicative variants of ordinary Zagreb indices, which are defined as follows: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:munder> <mml:mo>∏</mml:mo> <mml:mn>1</mml:mn> </mml:munder> <mml:mo>=</mml:mo> <mml:munder> <mml:mo>∏</mml:mo> …