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 ( ) 2 1 ( ) ( ) v V G G G d v and ( ) ( ) ( ) ( ) 2 G d v d v G uv E G 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.
IRANMANESH, A., HOSSEINZADEH, M., & GUTMAN, I. (2012). On Multiplicative Zagreb Indices of Graphs. Iranian Journal of Mathematical Chemistry, 3(2), 145-154. doi: 10.22052/ijmc.2012.5234
MLA
A. IRANMANESH; M. A. HOSSEINZADEH; I. GUTMAN. "On Multiplicative Zagreb Indices of Graphs". Iranian Journal of Mathematical Chemistry, 3, 2, 2012, 145-154. doi: 10.22052/ijmc.2012.5234
HARVARD
IRANMANESH, A., HOSSEINZADEH, M., GUTMAN, I. (2012). 'On Multiplicative Zagreb Indices of Graphs', Iranian Journal of Mathematical Chemistry, 3(2), pp. 145-154. doi: 10.22052/ijmc.2012.5234
VANCOUVER
IRANMANESH, A., HOSSEINZADEH, M., GUTMAN, I. On Multiplicative Zagreb Indices of Graphs. Iranian Journal of Mathematical Chemistry, 2012; 3(2): 145-154. doi: 10.22052/ijmc.2012.5234
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