Geometric-Quadratic Index from a Mathematical Perspective

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dc.contributor.authorFurtula, Boris
dc.contributor.authorOz, Mert Sinan
dc.date.accessioned2026-02-08T15:15:52Z
dc.date.available2026-02-08T15:15:52Z
dc.date.issued2025
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractThe geometric-quadratic index (GQ) was defined in 2021 by V. R. Kulli. In a recent study, QSPR analysis for the octane isomers of GQ and some other newly defined topological indices was presented. This analysis has revealed that GQ dominates over many of the well-known topological indices in terms of chemical applicability potential, especially for the heat of vaporization. These results inspired us to investigate the mathematical properties of GQ. In this paper, extremal graphs for GQ are investigated among connected graphs, trees, and unicyclic graphs. In addition, several mathematical relations between GQ and some well-known topological indices are presented. (c) 2025 University of Kashan Press. All rights reserved.
dc.description.sponsorshipSerbian Ministry of Education, Sci-ence and Technological Development [451-03-66/2024-03/200122]; Council of the Higher Education of Turkey
dc.description.sponsorshipAcknowledgments. This work was supported by the Serbian Ministry of Education, Sci-ence and Technological Development (Agreement No. 451-03-66/2024-03/200122) and by the Council of the Higher Education of Turkey.
dc.identifier.doi10.22052/IJMC.2024.255277.1890
dc.identifier.endpage92
dc.identifier.issn2228-6489
dc.identifier.issn2008-9015
dc.identifier.issue2
dc.identifier.scopus2-s2.0-105009035850
dc.identifier.scopusqualityQ3
dc.identifier.startpage85
dc.identifier.urihttps://doi.org/10.22052/IJMC.2024.255277.1890
dc.identifier.urihttps://hdl.handle.net/20.500.12885/5999
dc.identifier.volume16
dc.identifier.wosWOS:001534697600001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Kashan, Fac Mathematical Sciences
dc.relation.ispartofIranian Journal of Mathematical Chemistry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzWOS_KA_20260207
dc.subjectGeometric-quadratic index
dc.subjectTopological indices
dc.subjectExtremal graphs
dc.titleGeometric-Quadratic Index from a Mathematical Perspective
dc.typeArticle

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