Publication: Inequalities on Topological Indices
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2021-11
Defense date
2022-01-13
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Abstract
Topological indices have been widely used in different fields associated with
scientific research. They are recognized as useful tools in applied research
in Chemistry, Ecology, Biology, Physics, among others.
For many years, scientists have been trying to improve the predictive power
of the famous Randi’c index. This led to the introduction and study of new
topological descriptors that correlate or improve the level of prediction of the
Randi’c index. Among the most commonly used descriptors are the Inverse
index, the first general Zagreb index and the recently introduced Arithmetic-
Geometric index. In this work we study the mathematical properties and
relationships of the aforementioned topological indices.
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Topological indices, Inverse degree index, Arithmetic-geometric index, Zagreb index