Results 1 to 10 of about 90,458 (256)
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. Rodríguez +3 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.
Edil D. Molina +3 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.
Walter Carballosa +4 more
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Resolving an Open Problem on the Exponential Arithmetic–Geometric Index of Unicyclic Graphs
MathematicsRecently, the exponential arithmetic–geometric index (EAG) was introduced. The exponential arithmetic–geometric index (EAG) of a graph G is defined as EAG(G)=∑vivj∈E(G)edi+dj2didj, where di represents the degree of the vertex vi in G.
Kinkar Chandra Das, Jayanta Bera
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Mathematical study of silicate and oxide networks through Revan topological descriptors for exploring molecular complexity and connectivity. [PDF]
Sci RepOxide and silicate frameworks, known for their structural adaptability, play a pivotal role in gas storage, drug delivery, electronics, and catalysis. In this study, we explore the structural complexities of silicate and oxide networks through the lens ...
Zhang Q +5 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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New Results on the Geometric-Arithmetic Index
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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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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