Sombor indices of γ-sheet of boron clusters

Abstract

Regarding Euclidean geometry, introduced the Sombor index and its various types. In graph theory, it is the sum of all pairs of neighbouring vertices. New varieties of Sombor indices are introduced using geometrical interpretation. In this paper, we reviewed recently created Sombor indices for gamma-sheet of boron clusters. In particular, Euclidean geometry introduced the first area-based Sombor index. Perimeters are used to construct the third and fifth Sombor indices, while in terms of angular orientation, the second, fourth, and sixth Sombor indices are determined. Sombor indices can be useful in the analysis of chemical networks because they provide a way to quantify the complexity of the network based on the distances between its constituent molecules. They can be used, for example, to compare the structures of different chemical networks, or to identify regions of high or low connectivity within a network. Degree-based Sombor indices have been used in the analysis of various types of chemical networks, including protein-protein interaction networks, metabolic networks, and gene co-expression networks, among others. They can provide insights into the structure and function of these networks and can be used for tasks such as network clustering, identification of key nodes, and prediction of network behaviour. All the versions of Sombor indices are depend on the degree or valency of bond. First, finding out the degree type of the entire network and then the edge type is also essential to compute the Sombor index, once both types are determined, put the values in the derived formulas, and one can have imported results of Sombor indices.