Results 231 to 240 of about 90,458 (256)

Unicyclic graphs with extremal values of arithmetic–geometric index

Discrete Applied Mathematics, 2021
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Žana Kovijanić Vukićević, Saša Vujošević, Goran Popivoda   +2 more
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Sharp bounds on the Arithmetic–geometric index of graphs and line graphs

Discrete Applied Mathematics, 2022
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Guohui Li, Minjie Zhang
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On the spectral radius, energy and Estrada index of the arithmetic–geometric matrix of a graph

Discrete Mathematics, Algorithms and Applications, 2021
Let [Formula: see text] be a simple undirected graph with vertex set [Formula: see text]. The arithmetic–geometric matrix [Formula: see text] of a graph [Formula: see text] is defined so that its [Formula: see text]-entry is equal to [Formula: see text] if the vertices [Formula: see text] and [Formula: see text] are adjacent, and zero otherwise, where [
Lin, Zhen, Deng, Bo, Miao, Lianying, Li, He   +3 more
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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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FOURTH ATOM-BOND CONNECTIVITY INDEX AND FIFTH ARITHMETIC-GEOMETRIC INDEX OF CONVEX POLYTOPES BY USING LINE OPERATOR

Advances and Applications in Discrete Mathematics, 2018
Summary: In this paper, we will compute some graph in variants such as \(\mathrm{ABC}_4(G)\) index and \(\mathrm{GA}_5(G)\) index of line graph of some convex polytopes.
Husin, Mohamad Nazri, Asif, Fatima, Zahid, Zohaib, Zafar, Sohail, Farahani, Mohammad Reza   +4 more
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Atom-Bond Connectivity Index and Arithmetic-Geometric Index: Bounding Relationships

International Journal of Mathematics and Computer Science
In this paper, we establish extremal results and bounds of the atom-bond connectivity index with the arithmetic-geometric index given the minimum and maximum degrees of a graph. We have shown that regular graphs correspond to extremal graphs.
Abdulwahid, Fabricia M., Villarta, Cerina A., Mohammad, Nurijam Hanna M., Fabillar, Edwin B.   +3 more
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A New Multiplicative Arithmetic-Geometric Index

International Journal of Fuzzy Mathematical Archive, 2017
In this paper, we propose a new topological index: first multiplicative arithmetic geometric index of a molecular graph. A topological index is a numeric quantity from the structural graph of a molecule. In this paper, we compute multiplicative sum connectivity index, multiplicative product connectivity index, multiplicative atom bond connectivity ...
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Some remarks on the arithmetic-geometric index

2018
Summary: Using an identity for effective resistances, we find a relationship between the arithmetic-geometric index and the global ciclicity index. Also, with the help of majorization, we find tight upper and lower bounds for the arithmetic-geometric index.
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Extremal Arithmetic–Geometric Index of Bicyclic Graphs

Circuits, Systems, and Signal Processing, 2023
Niu, Baohua, Zhou, Shuming, Zhang, Hong
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Upper bound for the geometric-arithmetic index of trees with given domination number

Discrete Mathematics, 2023
Sergio Bermudo Navarrete
exaly