The arithmetic-geometric spectral radius 
of a graph is defined as the largest eigenvalue
of its arithmetic-geometric matrix.
Arithmetic-Geometric Spectral Radius
See also
Arithmetic-Geometric Matrix, Graph Eigenvalue, Spectral RadiusExplore with Wolfram|Alpha
References
Shegehall, V. S. and Kanabur, R. "Arithmetic-Geometric Indices of Path Graph." J. Math. Comput. Sci. 16, 19-24, 2015.Yuan, Y. "On the Arithmetic-Geometric Spectral Radius of Bicyclic Graphs." Comput. Appl. Math. 42, 304, 1-14, 2023.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 Spectral Radius." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Arithmetic-GeometricSpectralRadius.html