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More on Sombor Index of Graphs

Mathematics, 2022
Recently, a novel degree-based molecular structure descriptor, called Sombor index was introduced. Let G=(V(G),E(G)) be a graph. Then, the Sombor index of G is defined as SO(G)=∑uv∈E(G)dG2(u)+dG2(v). In this paper, we give some lemmas that can be used to
Wenjie Ning, Yuheng Song, Kun Wang
doaj   +3 more sources

On the KG-Sombor index

Vojnotehnički Glasnik
Introduction/purpose: Degree-based graph invariants are a type of molecular descriptor that represent the connectivity of atoms (vertices) in a molecule through bonds (edges). They are used to model structural properties of molecules and provide valuable
Ochirbat Altangoo, Dechinpuntsag Bolormaa, Badarch Gantuya, Tsend-Ayush Selenge   +3 more
doaj   +2 more sources

On computing extended graph energies and their thermodynamic properties for benzenoid hydrocarbons [PDF]

Scientific Reports
In this paper, several graph-based descriptors are applied, including some extended energies, such as Sombor and Banhatti Sombor energies, for the prediction of some important thermodynamic properties of BHC.
Hafiz Muhammad Bilal, Kiran Naz, Sarfraz Ahmad, Muhammad Kamran Siddiqui, Fikre Bogale Petros   +4 more
doaj   +2 more sources

On Sombor Index of Graphs

, 2023
Recently, Gutman defined a new vertex-degree-based graph invariant, named the Sombor index $SO$ of a graph $G$, and is defined by $$SO(G)=\sum_{uv\in E(G)}\sqrt{d_G(u)^2+d_G(v)^2},$$ where $d_G(v)$ is the degree of the vertex $v$ of $G$.
Horoldagva, Batmend, Xu, Chunlei
core   +2 more sources

Sombor index of thorny graphs

Vojnotehnički Glasnik
Introduction/purpose: The thorny graph of a graph G is obtained by attaching pendent vertices to the vertices of G. A mathematical study of the Sombor index of thorny graphs is undertaken. Methods: Combinatorial graph theory is applied.
Ivan Gutman
doaj   +2 more sources

Spectrum and energy of the Sombor matrix [PDF]

Vojnotehnički Glasnik, 2021
Introduction/purpose: The Sombor matrix is a vertex-degree-based matrix associated with the Sombor index. The paper is concerned with the spectral properties of the Sombor matrix. Results: Equalities and inequalities for the eigenvalues of the Sombor
Ivan Gutman
doaj   +1 more source

Chemical applicability of Sombor indices [PDF]

Journal of the Serbian Chemical Society, 2021
Recently, a novel class of degree-based topological molecular descriptors was proposed, the so-called Sombor indices. Within this study, the predictive and discriminative potentials of the Sombor index, the reduced Sombor index, and the average Sombor ...
Redžepović Izudin
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Sombor Index in Neutrosophic Graphs [PDF]

Neutrosophic Sets and Systems
One of the most fundamental ideas in chemical graphs is topological indices. Numerous applications of the topological index, a wholly pictorial notion, may be found in the domains of nanotechnology, chemistry, materials science, medicines, and other ...
S.N. Gambhire, Masoud Ghods, Zahra Rostami   +2 more
doaj   +2 more sources

Sombor Index Under Some Graph Products [PDF]

Mathematics Interdisciplinary Research, 2022
‎Let G=(V‎, ‎E) be a graph with vertex set V(G) and edge set E(G)‎. ‎The Sombor index of a graph G‎, ‎SO(G)‎, ‎is defined as ∑uv∈ E(G) √(d2u+d2v), ‎where du is the degree of vertex u in V(G)‎. ‎In the present paper‎, ‎we determine the lower bound for the
Irandokht Rezaee Abdolhosseinzadeh, Freydoon Rahbarnia, Mostafa Tavakoli   +2 more
doaj   +1 more source

Expected Values of Molecular Descriptors in Random Polyphenyl Chains [PDF]

, 2022
A chemical graph is a model used to indicate a chemical combination. In a molecular graph, vertices define atoms, and edges are represented as chemical bonds. A topological index is a single number to characterize the graph of a molecule. In this article,
Ahmad, Sarfraz, Naz, Kiran, Raza, Zahid
core   +1 more source