Sombor index: review of extremal results and bounds

H Liu, I Gutman, L You, Y Huang - Journal of Mathematical Chemistry, 2022 - Springer
Sombor index: review of extremal results and bounds | Journal of Mathematical Chemistry
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General properties on Sombor indices

J Rada, JM Rodríguez, JM Sigarreta - Discrete Applied Mathematics, 2021 - Elsevier
Abstract The Sombor index SO, the reduced Sombor index SO red, and the average Sombor
index SO avg have been introduced recently, and it was shown that they have good …

Nirmala index

VR Kulli - International Journal of Mathematics Trends and …, 2021 - ijmttjournal.org
In Chemical Graph Theory, several degree based topological indices were introduced and
studied since 1972. In this paper, a novel invariant is considered, which is the Nirmala index …

More on Sombor indices of chemical graphs and their applications to the boiling point of benzenoid hydrocarbons

H Liu, H Chen, Q **ao, X Fang… - International Journal of …, 2021 - Wiley Online Library
Let G be a connected graph with vertex set V (G) and edge set E (G). The Sombor index of G
is defined as and the reduced Sombor index of G is defined as where du denotes the degree …

The expected values of Sombor indices in random hexagonal chains, phenylene chains and Sombor indices of some chemical graphs

X Fang, L You, H Liu - International Journal of Quantum …, 2021 - Wiley Online Library
Hexagonal chains are a special class of catacondensed benzenoid system and phenylene
chains are a class of polycyclic aromatic compounds. Recently, A family of Sombor indices …

Ordering chemical graphs by Sombor indices and its applications

H Liu, L You, Y Huang - arxiv preprint arxiv:2103.05995, 2021 - arxiv.org
Topological indices are a class of numerical invariants that predict certain physical and
chemical properties of molecules. Recently, two novel topological indices, named as …

Graphs with given connectivity and their minimum Sombor index having applications to QSPR studies of monocarboxylic acids

S Hayat, M Arshad, A Khan - Heliyon, 2024 - cell.com
The Sombor index, introduced by Gutman in 2021, represents a novel graphical topological
descriptor reliant upon graph degree information. It holds promise for elucidating the …

Comparative study of Sombor index and its various versions using regression models for top priority polycyclic aromatic hydrocarbons

B Kirana, MC Shanmukha, A Usha - Scientific Reports, 2024 - nature.com
The aromatic compounds having structural configurations with two or more fused benzene
rings are the polycyclic aromatic hydrocarbons (PAHs). Topological indices are valuable …

On Sombor index of trees with fixed domination number

X Sun, J Du - Applied Mathematics and Computation, 2022 - Elsevier
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[PDF][PDF] On the reduced Sombor index and its applications

H Liu, L You, Z Tang, JB Liu - MATCH Commun. Math. Comput …, 2021 - match.pmf.kg.ac.rs
Based on elementary geometry, a novel vertex-degree-based molecular structure descriptor
was recently introduced by Gutman in the chemical graph theory, defined as SOred (G)=∑ …