Sombor index: review of extremal results and bounds | Journal of Mathematical Chemistry
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The Sombor index (SO) is a vertex-degree-based graph invariant, defined as the sum over
all pairs of adjacent vertices of√ d 2 i+ d 2 j, where di is the degree of the i-th vertex. It has …

This article is devoted to establish the distributions for Sombor indices in a general random
chain, in which their explicit analytical expressions of the expected values and variances are …

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 di 2+ dj 2 given di is the …

Euclidean geometry is utilized to establish the Sombor graph parameter and its invariants. It
is sum of all adjacent vertices in graph theory d ϒ 2+ d Γ 2 where d ϒ is the degree of the …

Consider a simple graph G with vertex set V (G) and edge set E (G). A graph invariant for G
is a number related to the structure of G, which is invariant under the symmetry of G. The …

The Sombor index of the graph $ G $ is a recently introduced degree based topological
index. It is defined as $ SO=\sum_ {uv\in E (G)}\sqrt {d (u)^ 2+ d (v)^ 2} $, where $ d (u) $ is …

A topological index is a number that is connected to a chemical composition in order to
correlate a substance's chemical makeup with different physical characteristics, chemical …

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 …

The Sombor index (SO) is a vertex–degree–based graph invariant, invented in the Summer
of 2020, and made publicly available in early 2021. In less than one year, a remarkable …