The Sombor index of a graph is defined as half the sum of the matrix elements of its Sombor matrix.
Sombor Index
See also
Sombor MatrixExplore with Wolfram|Alpha
References
Guo, X. and Gao, Y. "Arithmetic-Geometric Spectral Radius and Energy of Graphs." MATCH Commun. Math. Comput. Chem. 83, 651-680, 2020.Gutman, I. "Geometric Approach to Degree-Based Topological Indices: Sombor Indices." MATCH Commun. Math. Comput. Chem. 86, 11-16, 2021.Gutman, I. "Spectrum and Energy of the Sombor Matrix." Vojnoteh. Glas. 69, 551-561, 2021.Liu, H.; You, L.; Huang, Y.; Fang, S. "Spectral Properties of
-Sombor Matrices and Beyond." MATCH
Commun. Math. Comput. Chem. 87, 59-87, 2022.Zheng, L.; Tian,
G.; and Cui, S. "On Spectral Radius and Energy of Arithmetic-Geometric Matrix
of Graphs." MATCH Commun. Math. Comput. Chem. 83, 635-650, 2020.Zheng,
R.; Su, P.; and Jin. S. "Arithmetic-Geometric Matrix of Graphs and Its Applications."
Appl. Math. Comput. 42, 127764, 1-11, 2023.
Cite this as:
Weisstein, Eric W. "Sombor Index." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SomborIndex.html