Results 1 to 10 of about 232 (99)
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 Sigarreta, José M Rodríguez
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Computation of Topological Indices of Some Special Graphs
Mathematics, 2018 There are several chemical indices that have been introduced in theoretical chemistry to measure the properties of molecular topology, such as distance-based topological indices, degree-based topological indices and counting-related topological indices ...
Mohammed Salaheldeen Abdelgader +2 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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On ordinary generalized geometric–arithmetic index
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehdi Eliasi
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The geometric–arithmetic index and the chromatic number of connected graphs
Discrete Applied Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mustapha Aouchiche, Pierre Hansen
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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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Extremal graphs for the geometric–arithmetic index with given minimum degree
Discrete Applied Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ljiljana Pavlovic
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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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