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Atom-Bond Connectivity Index and Arithmetic-Geometric Index: Bounding Relationships
International Journal of Mathematics and Computer ScienceIn 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. +3 more
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Some remarks on the arithmetic-geometric index
2018Summary: 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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Upper bound for the geometric-arithmetic index of trees with given domination number
Discrete Mathematics, 2023Sérgio Bermudo Navarrete
exaly
The Geometric-Arithmetic Index of Nanotubes
Journal of Computational and Theoretical Nanoscience, 2010Shubo Chen, Weijun Liu
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On the geometric–arithmetic index of a graph
Discrete Applied Mathematics, 2019Baoyindureng Wu
exaly
On the first geometric–arithmetic index of graphs
Discrete Applied Mathematics, 2011Ivan Gutman, Boris Furtula
exaly
GEOMETRIC ARITHMETIC STATUS INDEX Of GRAPHS
2017Kishori P Narayankar, Dickson Selvan
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Extremal graphs for the geometric–arithmetic index with given minimum degree
Discrete Applied Mathematics, 2014Ljiljana Pavlovic
exaly
Arithmetic–Geometric and Geometric–Arithmetic Index on Fuzzy Graphs and their Real Life Applications
Proceedings of the National Academy of Sciences, India Section A: Physical SciencesSk Rabiul Islam +3 more
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