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Geometric perspective to Degree–Based topological indices of supramolecular chain

Authors :
Muhammad Imran
Ricai Luo
Muhammad Kamran Jamil
Muhammad Azeem
Khawaja Muhammad Fahd
Source :
Results in Engineering, Vol 16, Iss , Pp 100716- (2022)
Publication Year :
2022
Publisher :
Elsevier, 2022.

Abstract

Sombor index and their types are introduced pertaining to Euclidean geometry. In graph-theoretical terminology, it is the sum of all pairs of adjacent vertices di2+dj2 given di is the degree of ith vertex. Using geometrical interpretation, new types of Sombor indices are introduced. In this article, we discussed newly developed Sombor indices for the supramolecular chain of different complexes. Particularly, the first Sombor index was introduced in terms of area in Euclidean geometry. The second, fourth, and sixth versions of Sombor indices are defined in the form of angular orientation, while the third and fifth Sombor indices are formulated via perimeter.

Details

Language :
English
ISSN :
25901230
Volume :
16
Issue :
100716-
Database :
Directory of Open Access Journals
Journal :
Results in Engineering
Publication Type :
Academic Journal
Accession number :
edsdoj.083f1af89e94af69ac2212d5d1f4309
Document Type :
article
Full Text :
https://doi.org/10.1016/j.rineng.2022.100716