on multiplicative zagreb indices of graphs
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abstract
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.
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Journal title:
iranian journal of mathematical chemistryPublisher: university of kashan
ISSN 2228-6489
volume 3
issue 2 2012
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