Inequalities on the Generalized ABC Index

Date

2021

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Article

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Abstract

In this work, we obtained new results relating the generalized atom-bond connectivity index with the general Randi´c index. Some of these inequalities for ABCα improved, when α = 1/2, known results on the ABC index. Moreover, in order to obtain our results, we proved a kind of converse Hölder inequality, which is interesting on its own.

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Citation

Bosch, P.; Molina, E.D.; Rodríguez, J.M.; Sigarreta, J.M. Inequalities on the Generalized ABC Index. Mathematics 2021, 9, 1151. https://doi.org/10.3390/math9101151

Keywords

ABC index, General Randić index, Generalized ABC index, Topological indices, Converse Hölder inequality

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