图的算术-几何指数定义为其算术-几何矩阵的矩阵元素之和的一半。
算术-几何指数
另请参阅
算术-几何矩阵使用 Wolfram|Alpha 探索
参考文献
Cui, S.-Y.; Wang, W.; Tian, G.-X.; and Wu, B. "On the Arithmetic-Geometric Index of Graphs." MATCH Commun. Math. Comput. Chem. 85, 87-107, 2021.Guo, X. and Gao, Y.-B. "Arithmetic-Geometric Spectral Radius and Energy of Graphs." MATCH Commun. Math. Comput. Chem. 83, 651-660, 2020.Milovanović, I. Ž.; Matejić, M. M.; and Milovanović, E. I. "Upper Bounds for Arithmetic-Geometric Index of Graphs." Sci. Pub. State Univ. Novi Pazar A 10, 49-54, 2018.Molina, E.D.; Roodríguez J.M.; Sánchez J. L.; and Sigarreta, J. M. "Some Properties of the Arithmetic-Geometric Index." Symmetry 13, 857, 2021.Shegehall, V. S. and Kanabur, R. "Arithmetic-Geometric Indices of Path Graph." J. Math. Comput. Sci. 16, 19-24, 2015.Vujošević S.; Popivoda, G.; Vukićević; Furtula, Ž. K.; and Škrekovski, R. "Arithmetic-Geometric Index and Its Relations With Geometric-Arithmetic Index." Appl. Math. Comput. 391, Paper 125706, 2021.Vukićević, Ž. K.; Vujošević, S.; and Popivoda, G. "Unicyclic Graphs With Extremal Values of Arithmetic-Geometric Index." Disc. Appl. Math. 302, 67-75, 2021.Zheng, R.; Su, P.; and Jin. S. "Arithmetic-Geometric Matrix of Graphs and Its Applications." Appl. Math. Comput. 42, 127764, 1-11, 2023.引用为
Weisstein, Eric W. "算术-几何指数。" 来自 MathWorld--Wolfram Web 资源。 https://mathworld.net.cn/Arithmetic-GeometricIndex.html