图的 Randić 指数定义为其 Randić 矩阵的矩阵元素之和的一半。 虽然该指数最初被引入用于模拟烷烃的碳原子骨架的分支 (Randić 1975),但事实证明,它与多种类型有机分子的各种物理化学和药理学性质有效相关 (Zheng et al. 2023)。
Randić 指数
另请参阅
Randić 矩阵使用 探索
参考文献
Bozkurt, S. B. and Guüngör, A. D. "Randić Matrix and Randić Energy." MATCH Commun. Math. Comput. Chem. 64, 239-250, 2010.Bozkurt, S. B.; Guüngör, A. D.; and Gutman, I. "Randić Spectral Radius and Randić Energy." MATCH Commun. Math. Comput. Chem. 64, 321-334, 2010.Devillers, J. and Balaban, A. T. (Eds.). "The Zabgreb Indices." In Topological Indices and Related Descriptors in QSAR and QSPR. Amsterdam, Netherlands: Gordon and Breach, p. 31, 2000.Randić, M. "On Characterization of Molecular Branching." J. Amer. Chem. Soc. 97, 6609-6615, 1975.Rodríguez, J. A. "A Spectral Approach to the Randić Index." Linear Algebra Appl. 400, 339-344, 2005.Rodríguez, J. A. and Sigarreta, J. M. "On the Randić Index and Conditional Parameters of a Graph." MATCH Commun. Math. Comput. Chem. 54, 403-416, 2005.Zheng, R.; Su, P.; and Jin. S. "Arithmetic-Geometric Matrix of Graphs and Its Applications." Appl. Math. Comput. 42, 127764, 1-11, 2023.请引用为
Weisstein, Eric W. “Randić 指数。” 来自 —— 资源。 https://mathworld.net.cn/RandicIndex.html