Geometric approach to vertex-degree-based topological indices-Elliptic Sombor index, theory and application

Basit Öğe Kaydı
dc.authorid0000-0002-5056-6892
dc.contributor.authorGutman, Ivan
dc.contributor.authorFurtula, Boris
dc.contributor.authorOz, Mert Sinan
dc.date.accessioned2026-02-08T15:14:49Z
dc.date.available2026-02-08T15:14:49Z
dc.date.issued2024
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractA novel geometric method is proposed for constructing vertex-degree-based molecular structure descriptors (topological indices). The model is based on an ellipse whose focal points represent the degrees of a pair of adjacent vertices. This approach enables a geometric interpretation of several previously known topological indices, and lead to design of a few new. The area of the ellipse induces a vertex-degree-based topological index of remarkable simplicity, which we call elliptic Sombor index(ESO$$ ESO $$). The main mathematical properties of ESO$$ ESO $$ are established, especially its relations to other, earlier known, indices. Then the applicative potential of ESO$$ ESO $$ is analyzed. The elliptic Sombor index (ESO) is a topological molecular descriptor derived from the geometric properties of an ellipse. It is defined by using the equation of the area of an ellipse. image
dc.description.sponsorshipCouncil of the Higher Education of Turkey
dc.description.sponsorshipNo Statement Availabler No Statement Available
dc.identifier.doi10.1002/qua.27346
dc.identifier.issn0020-7608
dc.identifier.issn1097-461X
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85182241094
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1002/qua.27346
dc.identifier.urihttps://hdl.handle.net/20.500.12885/5454
dc.identifier.volume124
dc.identifier.wosWOS:001140178800001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofInternational Journal of Quantum Chemistry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzWOS_KA_20260207
dc.subjectdegree of a vertex
dc.subjectelliptic Sombor index
dc.subjectSombor index
dc.subjecttopological index
dc.titleGeometric approach to vertex-degree-based topological indices-Elliptic Sombor index, theory and application
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu