Results 1 to 10 of about 4,256,905 (264)
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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Some Properties of the Arithmetic–Geometric Index [PDF]
Symmetry, 2021 Recently, the arithmetic–geometric index (AG) was introduced, inspired by the well-known and studied geometric–arithmetic index (GA). In this work, we obtain new bounds on the arithmetic–geometric index, improving upon some already known bounds. In particular, we show families of graphs where such bounds are attained.
José M Sigarreta +2 more
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Bounds on the Arithmetic-Geometric Index [PDF]
Symmetry, 2021 The concept of arithmetic-geometric index was recently introduced in chemical graph theory, but it has proven to be useful from both a theoretical and practical point of view. The aim of this paper is to obtain new bounds of the arithmetic-geometric index and characterize the extremal graphs with respect to them.
José M Sigarreta +2 more
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Computational properties of the arithmetic–geometric index
Journal of Mathematical Chemistry, 2022 The concept of arithmetic-geometric index was introduced in the chemical graph theory recently, but it has shown to be useful. We obtain in this paper new lower bounds of the arithmetic-geometric index and we characterize graphs extremal with respect to them.
Ana Portilla +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
exaly +7 more sources
On ordinary generalized geometric–arithmetic index [PDF]
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehdi Eliasi
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Arithmetic–geometric index and its relations with geometric–arithmetic index
Applied Mathematics and Computation, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Riste Škrekovski +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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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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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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