TY - JOUR
ID - 5234
TI - On multiplicative Zagreb indices of graphs
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - IRANMANESH, A.
AU - HOSSEINZADEH, M. A.
AU - GUTMAN, I.
AD - TarbiatModares University,
Iran
AD - University of Kragujevac, Kragujevac, Serbia
Y1 - 2012
PY - 2012
VL - 3
IS - 2
SP - 145
EP - 154
KW - Multiplicative Zagreb indices
KW - Splice
KW - Link
KW - Chain graphs
KW - Dendrimer
DO - 10.22052/ijmc.2012.5234
N2 - 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.
UR - http://ijmc.kashanu.ac.ir/article_5234.html
L1 - http://ijmc.kashanu.ac.ir/article_5234_272192a88612b48b4a6b0b58729ae23e.pdf
ER -