New results on the harmonic index and its generalizations

Rodríguez García, José Manuel; Sigarreta Almira, José María

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New results on the harmonic index and its generalizations

Author(s): Rodríguez García, José Manuel; Sigarreta Almira, José María

Publisher: MATCH

Issued date: 2017

Citation: Rodrígez, J. M. & Sigarreta, J. M. (2017). New Results on the Harmonic Index and Its Generalizations. MATCH Communications in Mathematical and in Computer Chemistry, 78(2), 384-404.

ISSN: 0340-6253

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)

Sponsor: The authors are grateful to the referees for their valuable comments which have improved this paper. This work is supported in part by two grants from Ministerio de Economía y Competititvidad (MTM2013-46374-P and MTM2015-69323-REDT), Spain, and a grant from CONACYT (FOMIX-CONACyT-UAGro 249818), México.

Publisher version: https://match.pmf.kg.ac.rs/electronic_versions/Match78/n2/match78n2_387-404.pdf

Project: Gobierno de España. MTM2013-46374-P
Gobierno de España. MTM2015-69323-REDT

Keywords: Harmonic index , Sum-connectivity index , Zagreb index , Vertex degree based topological indices

URI: http://hdl.handle.net/10016/33870

Abstract:

In this paper we obtain new inequalities involving the harmonic index and the(general) sum-connectivity index, and characterize graphs extremal with respect tothem. In particular, we improve and generalize some known inequalities and werelate this indices to o [+]

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