Results 191 to 200 of about 4,247,919 (214)

The Third Geometric-Arithmetic Index of Nanotubes

Journal of Computational and Theoretical Nanoscience, 2013
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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., ZAEEMBASHI, A., OSTAD RAHIMI, M.   +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, Ivan Gutman, Boris Furtula, Zhibin Du   +3 more
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The Third Geometric-Arithmetic Index of Dendrimer Nanostars

Journal of Computational and Theoretical Nanoscience, 2013
exaly   +2 more sources

Remark on spectral study of the geometric–arithmetic index and some generalizations

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emina I. Milovanovic, Igor Z. Milovanovic, Marjan M. Matejic   +2 more
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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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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, Vetrík, Tomáš, Yong-Cheol, Mo   +2 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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The Edge Geometric-Arithmetic Index of an Infinite Class of Dendrimers

Journal of Computational and Theoretical Nanoscience, 2013
The edge version of geometric-arithmetic index is a newly proposed graph invariant in mathematical chemistry. The edge GA index of graphs is based on the end-vertex degrees of edges of their line graphs. In this paper, the edge geometric-arithmetic index of an infinite class of dendrimers is investigated, and exact formula is derived.
Odabas, Zeynep Nihan, BERBERLER, MURAT ERŞEN   +1 more
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