Inequalities on the generalized abc index

Bosch, Paul; Molina, E. D.; Rodríguez García, José Manuel; Sigarreta Almira, José María

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Inequalities on the generalized abc index

Author(s): Bosch, Paul; Molina, E. D.; Rodríguez García, José Manuel; Sigarreta Almira, José María

Publisher: MDPI

Issued date: 2021-05-02

Citation: Bosch, P., Molina, E. D., Rodríguez, J. M., & Sigarreta, J. M. (2021). Inequalities on the Generalized ABC Index. Mathematics, 9(10), 1151. https://doi.org/10.3390/math9101151

ISSN: 2227-7390

DOI: https://doi.org/10.3390/math9101151

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Comunidad de Madrid
Ministerio de Economía y Competitividad (España)
Universidad Carlos III de Madrid

Sponsor: This research was supported by a grant from Agencia Estatal de Investigación (PID2019- 106433GBI00/ AEI/10.13039/501100011033), Spain. The research of José M. Rodríguez was supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of the Excellence of University Professors (EPUC3M23) and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation)

Project: Gobierno de España. PID2019-106433GBI00/AEI/10.13039/50110001033
Comunidad de Madrid. V PRICIT
Universidad Carlos III de Madrid. EPUC3M23

Keywords: Abc index , Generalizedabc index , General randic index , Topological indices , Converse hölder inequality

URI: http://hdl.handle.net/10016/34235

Rights: © 2021 by the authors.
Atribución 3.0 España

Abstract:

In this work, we obtained new results relating the generalized atom-bond connectivity index with the general Randić 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 pr [+]

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