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Geometric approach to vertex‐degree‐based topological indices–Elliptic Sombor index, theory and application.

Geometric approach to vertex‐degree‐based topological indices–Elliptic Sombor index, theory and application.

Authors :
Gutman, Ivan
Furtula, Boris
Oz, Mert Sinan
Source :
International Journal of Quantum Chemistry. 1/15/2024, Vol. 124 Issue 2, p1-10. 10p.
Publication Year :
2024

Abstract

A 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00207608
Volume :
124
Issue :
2
Database :
Academic Search Index
Journal :
International Journal of Quantum Chemistry
Publication Type :
Academic Journal
Accession number :
174781744
Full Text :
https://doi.org/10.1002/qua.27346