نتایج جستجو برای: arithmetic geometric index

تعداد نتایج: 511986  

B. KHEZRI–MOGHADDAM M. MOGHARRAB

Let G be a graph. In this paper, we study the eccentric connectivity index, the new version of the second Zagreb index and the forth geometric–arithmetic index.. The basic properties of these novel graph descriptors and some inequalities for them are established.

Journal: :TWMS Journal of Applied and Engineering Mathematics 2018

Journal: :Symmetry 2021

Recently, the arithmetic–geometric index (AG) was introduced, inspired by well-known and studied geometric–arithmetic (GA). In this work, we obtain new bounds on index, improving upon some already known bounds. particular, show families of graphs where such are attained.

Journal: :iranian journal of mathematical chemistry 2012
m. saheli m. jalali rad

the geometric-arithmetic index is another topological index was defined as2 deg ( )deg ( )( )deg ( ) deg ( )g guv eg gu vga gu v  , in which degree of vertex u denoted by degg (u). wenow define a new version of ga index as 4( )2 ε ( )ε ( )( )ε ( ) ε ( )g ge uv e g g gu vga g  u v , where εg(u) isthe eccentricity of vertex u. in this paper we compute this new topological index for twogr...

Journal: :Journal of Mathematical Chemistry 2019

Journal: :Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics 2018

Journal: :International Journal of Pure and Apllied Mathematics 2016

2011
BORIS FURTULA

Continuing the work K. C. Das, I. Gutman, B. Furtula, On second geometric−arithmetic index of graphs, Iran. J. Math Chem., 1 (2010) 17−27, in this paper we present lower and upper bounds on the third geometric−arithmetic index GA3 and characterize the extremal graphs. Moreover, we give Nordhaus−Gaddum−type result for GA3.

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