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Randić 指数


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)。


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Randić 矩阵

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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

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