Keywords
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Multiplicative Zagreb indices, splice, link, chain graphs, dendrime
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Abstract
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Todeschini et al. have recently suggested to consider multiplicative variants of additive graph
invariants, which applied to the Zagreb indices would lead to the multiplicative Zagreb
indices of a graph G, denoted by 1(G) and ) 2 (G , under the name first and second
multiplicative Zagreb index, respectively. These are define as uv E G
, where dG(v) is the degree of the vertex v. In this paper we
compute these indices for link and splice of graphs. In continuation, with use these graph
operations, we compute the first and the second multiplicative Zagreb indices for a class of
dendrimers.
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