on multiplicative zagreb indices of graphs

todeschini et al. have recently suggested to consider multiplicative variants of additive graphinvariants, which applied to the zagreb indices would lead to the multiplicative zagrebindices of a graph g, denoted by ( ) 1  g and ( ) 2  g , under the name first and secondmultiplicative zagreb index, respectively. these are define as  ( )21 ( ) ( )v v gg g d vand ( ) ( ) ( )( )2 g d v d v guv e g g  , where dg(v) is the degree of the vertex v. in this paper wecompute these indices for link and splice of graphs. in continuation, with use these graphoperations, we compute the first and the second multiplicative zagreb indices for a class ofdendrimers.