The Sombor energy of a graph is defined as the graph energy of its Sombor matrix, i.e., the sum of the absolute values of the eigenvalues of its Sombor matrix.
Sombor Energy
See also
Graph Energy, 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.; and 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 Energy." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SomborEnergy.html