Affiliation:
1. Faculty of Science University of Kragujevac Kragujevac Serbia
2. Department of Mathematics Faculty of Engineering and Natural Sciences, Bursa Technical University Bursa Turkey
Abstract
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(). The main mathematical properties of are established, especially its relations to other, earlier known, indices. Then the applicative potential of is analyzed.
Funder
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja
Subject
Physical and Theoretical Chemistry,Condensed Matter Physics,Atomic and Molecular Physics, and Optics