TY - JOUR
ID - 5294
TI - The Hyper-Zagreb Index of Graph Operations
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - SHIRDEL, G. H.
AU - REZAPOUR, H.
AU - SAYADI, A. M.
AD - University of Qom, Iran
AD - University of Qom,
Iran
AD - University of Tehran,
Iran
Y1 - 2013
PY - 2013
VL - 4
IS - 2
SP - 213
EP - 220
KW - Hyper-Zagreb index
KW - Zagreb index
KW - Graph operation
DO - 10.22052/ijmc.2013.5294
N2 - Let G be a simple connected graph. The first and second Zagreb indices have been introduced as vV(G) (v)2 M1(G) degG and M2(G) uvE(G)degG(u)degG(v) , respectively, where degG v(degG u) is the degree of vertex v (u) . In this paper, we define a new distance-based named HyperZagreb as e uv E(G) . (v))2 HM(G) (degG(u) degG In this paper, the HyperZagreb index of the Cartesian product, composition, join and disjunction of graphs are computed.
UR - http://ijmc.kashanu.ac.ir/article_5294.html
L1 - http://ijmc.kashanu.ac.ir/article_5294_fbb55de9f98dd512946bb421b81a8dfe.pdf
ER -