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New Results on the Geometric-Arithmetic Index [PDF]
Journal of Mathematics, 2021 Let G be a graph with vertex set VG and edge set EG. Let du denote the degree of vertex u∈VG. The geometric-arithmetic index of G is defined as GAG=∑uv∈EG2dudv/du+dv.
Akbar Jahanbani +2 more
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Spectral properties of geometric–arithmetic index [PDF]
Applied Mathematics and Computation, 2016 The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. One of the main aims of algebraic graph theory is to determine how, or whether, properties of graphs are reflected in the algebraic properties of some matrices.
José M. Rodríguez, José M. Sigarreta
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On the first geometric–arithmetic index of graphs
Discrete Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, K.Ch., Gutman, I., Furtula, B.
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More on Comparison Between First Geometric-Arithmetic Index and Atom-Bond Connectivity Index [PDF]
Miskolc Mathematical Notes, 2015 The first geometric-arithmetic (GA) index and atom-bond connectivity (ABC) index are molecular structure descriptors which play a significant role in quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship ...
Akbar Ali +3 more
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Extremal trees for the geometric-arithmetic index with the maximum degree [PDF]
Discrete Mathematics Letters, 2022 Summary: For a graph \(G\), the geometric-arithmetic index of \(G\), denoted by \(GA(G)\), is defined as the sum of the quantities \(2 \sqrt{d_x \times d_y}/(d_x+d_y)\) over all edges \(xy \in E(G)\). Here, \(d_x\) indicates the vertex degree of \(x\). For every tree \(T\) of order \(n \geq 3\), \textit{D. Vukičević} and \textit{B. Furtula} [J.
A. Divya, A. Manimaran
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Recent lower bounds for geometric-arithmetic index [PDF]
Discrete Mathematics Letters, 2019 Summary: Although the concept of geometric-arithmetic indices has been introduced in the chemical graph theory recently, these indices have already been proved to be useful. After the excellent survey [\textit{K. Ch. Das} et al., MATCH Commun. Math. Comput. Chem. 65, No.
Ana Portilla +2 more
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On arithmetic–geometric eigenvalues of graphs
Main Group Metal Chemistry, 2022 In this article, we are interested in characterizing graphs with three distinct arithmetic–geometric eigenvalues. We provide the bounds on the arithmetic–geometric energy of graphs. In addition, we carry out a statistical analysis of arithmetic–geometric
Rather Bilal A. +3 more
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Topological Evaluation of Four Para-Line Graphs Absolute Pentacene Graphs Using Topological Indices
International Journal of Analysis and Applications, 2023 A real-number to molecular structure mapping is a topological index. It is a graph invariant method for describing physico-chemical properties of molecular structures specific substances. In that article, We examined pentacene’s chemical composition. The
Mukhtar Ahmad +5 more
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Conjecture Involving Arithmetic-Geometric and Geometric-Arithmetic Indices
Discrete Dynamics in Nature and Society, 2022 The geometric-arithmetic (GA) index of a graph G is the sum of the ratios of geometric and arithmetic means of end-vertex degrees of edges of G. Similarly, the arithmetic-geometric (AG) index of G is defined. Recently, Vujošević et al. conjectured that a
Zainab Alsheekhhussain +3 more
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Journal of Function Spaces, 2022 Our objective is to compute the neighborhood degree-based topological indices via NM-polynomial for starphene. In the neighborhood degree-based topological indices, we compute the third version of the Zagreb index; neighborhood second Zagreb index ...
Deeba Afzal +5 more
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