University of KashanIranian Journal of Mathematical Chemistry2228-64894220130501The Hyper-Zagreb Index of Graph Operations213220529410.22052/ijmc.2013.5294ENG. H.SHIRDELUniversity of Qom, IranH. REZAPOURUniversity of Qom,
IranA. M.SAYADIUniversity of Tehran,
IranJournal Article20140504Let 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.http://ijmc.kashanu.ac.ir/article_5294_fbb55de9f98dd512946bb421b81a8dfe.pdf