The arithmetic-geometric energy of a graph is defined as the graph energy of its arithmetic-geometric matrix, i.e., the sum of the absolute values of the eigenvalues of its arithmetic-geometric matrix.
Arithmetic-Geometric Energy
See also
Arithmetic-Geometric Matrix, Graph EnergyExplore with Wolfram|Alpha
References
Shegehall, V. S. and Kanabur, R. "Arithmetic-Geometric Indices of Path Graph." J. Math. Comput. Sci. 16, 19-24, 2015.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. "Arithmetic-Geometric Energy." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Arithmetic-GeometricEnergy.html