Evaluation of Sombor Energy and Sombor Index of Certain Chemical Graphs

Abstract

The Sombor matrix is naturally associated with the Sombor index, which is a vertex-degree based topological index.This thesis computes and interprets the Sombor Energy and the Sombor Index, two important graph theory metrics that impact molecular chemistry and network resilience . The total of the absolute values of the Sombor matrix’s eigenvalues is the Sombor energy. Chemical graphs, which provide information on the make-up, traits, stability, and behaviour of molecules, serve as the foundation for assessing the Energy Index . In this thesis, we present the computational results for Sombor index and Sombor energy for Metal Organic Networks, combining ideas from graph theory and chemistry to improve our understanding of the energy properties and structural robustness of MONp .