University of KashanIranian Journal of Mathematical Chemistry2228-64893Supplement 120121201Computing GA4 Index of Some Graph Operations1928527110.22052/ijmc.2012.5271ENM.SAHELIUniversity of Kashan, I. R. IranM.JALALI RADUniversity of Kashan,
Kashan, I. R. IranJournal Article20140504The geometric-arithmetic index is another topological index was defined as 2 deg ( )deg ( ) ( ) deg ( ) deg ( ) G G uv E G G u v GA G u v , in which degree of vertex u denoted by degG (u). We now define a new version of GA index as 4 ( ) 2 ε ( )ε ( ) ( ) ε ( ) ε ( ) G G e uv E G G G u v GA G u v , where εG(u) is the eccentricity of vertex u. In this paper we compute this new topological index for two graph operations.https://ijmc.kashanu.ac.ir/article_5271_e45e1b12bd7d45ac826b874c26ef0661.pdf