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A new geometric–arithmetic index

Journal of Mathematical Chemistry, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fath-Tabar, Gholamhossein   +2 more
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On the geometric-arithmetic Estrada index of graphs

Applied Mathematics and Computation, 2021
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Liu, Chang, Pan, Yingui, Li, Jianping
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On exponential geometric-arithmetic index of graphs

Journal of Mathematical Chemistry, 2023
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Das, Kinkar Chandra, Mondal, Sourav
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COMPUTING SIXTH GEOMETRIC-ARITHMETIC INDEX OF NANOSTRUCTURES

Advances and Applications in Discrete Mathematics, 2019
Summary: Topological indices are employed to figure out the physicochemical properties and bio-activity of chemical compounds in QSAR/QSPR. Quantitative Structure-Property Relationship (QSPR) and Quantitative Structure-Activity Relationship (QSAR) studies are indisputably have greater significance in biochemistry, modern chemistry as well as in drug ...
Mohanappriya, G., Vijayalakshmi, D.
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Geometric-arithmetic index of Hamiltonian fullerenes

2012
Summary: A graph that contains a Hamiltonian cycle is called a Hamiltonian graph. In this paper we compute the first and the second geometric-arithmetic indices of Hamiltonian graphs. Then we apply our results to obtain some bounds for fullerene.
MOSTAFAEI, H.   +2 more
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On two types of geometric–arithmetic index

Chemical Physics Letters, 2009
Abstract Recently a class of so-called ‘geometric–arithmetic’ topological indices ( GA ) was put forward, defined as the sum over all edges ( uv ) of a (molecular) graph G , of terms Q u Q v / 1 2 ( Q u + Q v ) , where Q u is some quantity associated with the ...
Bo Zhou   +3 more
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Comparison between first geometric–arithmetic index and atom-bond connectivity index

Chemical Physics Letters, 2010
The first geometric-arithmetic index (GA) [1] and atom-bond connectivity index (ABC) [2] that are recently introduced, are found to be useful tools in QSPR and QSAR studies. In this letter we compare the GA and ABC indices for chemical trees and molecular graphs. Moreover, we also compare these two indices for general graphs. (C) 2010 Elsevier B.V. All
Das, Kinkar Ch., Trinajstić, Nenad
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RELATIONS BETWEEN ARITHMETIC-GEOMETRIC INDEX AND GEOMETRIC-ARITHMETIC INDEX

Mathematical Reports
The arithmetic-geometric index AG(G) and the geometric-arithmetic index GA(G) of a graph G are defined as AG(G) = P uv∈E(G) dG(u)+dG(v) 2 √ dG(u)dG(v) and GA(G) = P uv∈E(G) 2 √ dG(u)dG(v) dG(u)+dG(v) , where E(G) is the edge set of G, and dG(u) and dG(v) are the degrees of vertices u and v, respectively.
Das, Kinkar Chandra   +2 more
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Computing fifth geometric-arithmetic index for nanostar dendrimers

2011
The geometric-arithmetic index is a topological index was defined as GA(G)=∑uv2(dudv)1/2/(du+dv), in which degree of vertex u denoted by dG(u ). Now we define a new version of GA index as GA5(G)=∑uv2(δuδv)1/2/(δu+δv) ,  where δu=∑uvdv. The goal of this paper is to further the study of the GA5 index.
Graovac, Ante   +2 more
openaire   +1 more source

On the total version of geometric-arithmetic index

2013
The total version of geometric–arithmetic index of graphs is introduced based on the endvertex degrees of edges of their total graphs. In this paper, beside of computing the total GA index for some graphs, its some properties especially lower and upper bounds are obtained.
MAHMIANI, A., KHORMALI, O.
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