Results 241 to 250 of about 4,256,905 (264)

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
openaire   +2 more sources

On exponential geometric-arithmetic index of graphs

Journal of Mathematical Chemistry, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Kinkar Chandra, Mondal, Sourav
openaire   +2 more sources

The Third Geometric-Arithmetic Index of Nanotubes

Journal of Computational and Theoretical Nanoscience, 2013
exaly   +2 more sources

Geometric-arithmetic index of Hamiltonian fullerenes

2012
Summary: A graph that contains a Hamiltonian cycle is called a Hamiltonian graph. In this paper we compute the first and the second geometric-arithmetic indices of Hamiltonian graphs. Then we apply our results to obtain some bounds for fullerene.
MOSTAFAEI, H., ZAEEMBASHI, A., OSTAD RAHIMI, M.   +2 more
openaire   +2 more sources

COMPUTING SIXTH GEOMETRIC-ARITHMETIC INDEX OF NANOSTRUCTURES

Advances and Applications in Discrete Mathematics, 2019
Summary: Topological indices are employed to figure out the physicochemical properties and bio-activity of chemical compounds in QSAR/QSPR. Quantitative Structure-Property Relationship (QSPR) and Quantitative Structure-Activity Relationship (QSAR) studies are indisputably have greater significance in biochemistry, modern chemistry as well as in drug ...
Mohanappriya, G., Vijayalakshmi, D.
openaire   +2 more sources

Sharp bounds on the Arithmetic–geometric index of graphs and line graphs

Discrete Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guohui Li, Minjie Zhang 0002
openaire   +3 more sources

On two types of geometric–arithmetic index

Chemical Physics Letters, 2009
Abstract Recently a class of so-called ‘geometric–arithmetic’ topological indices ( GA ) was put forward, defined as the sum over all edges ( uv ) of a (molecular) graph G , of terms Q u Q v / 1 2 ( Q u + Q v ) , where Q u is some quantity associated with the ...
Bo Zhou, Ivan Gutman, Boris Furtula, Zhibin Du   +3 more
openaire   +1 more source

On the total version of geometric-arithmetic index

2013
The total version of geometric–arithmetic index of graphs is introduced based on the endvertex degrees of edges of their total graphs. In this paper, beside of computing the total GA index for some graphs, its some properties especially lower and upper bounds are obtained.
MAHMIANI, A., KHORMALI, O.
openaire   +1 more source

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 ...
openaire   +1 more source

Extremal Arithmetic–Geometric Index of Bicyclic Graphs

Circuits, Systems, and Signal Processing, 2023
Baohua Niu, Shuming Zhou, Hong Zhang 0044   +2 more
openaire   +1 more source