几类图的Aα-能量
Aα-Energy of Some Classes of Graphs
摘要: 2017年Nikiforov提出的Aα-矩阵是A矩阵和Q矩阵的一般形式，由于Aα-矩阵的结果随着参数的变化而变化，Aα-矩阵具备很多A矩阵和Q矩阵没有的性质。本文计算了完全图，完全二部图，完全等多部图，友谊图，风车图的Aα-特征值和能量，并给出删除任一条边后完全平衡二部图能量的变化。
Abstract: The Aα-matrix proposed by Nikiforov in 2017 is a general form of both A and Q matrices. Due to the fact that the results of the Aα-matrix vary with the parameters, the Aα-matrix possesses many properties that are not present in A and Q matrices. In this paper, we calculate Aα-eigenvalues and energies of the complete graph, complete bipartite graph, complete equal multi-partite graph, friendship graph and windmill graph, and give the energy changes of complete balanced bipartite graphs after deleting an arbitrary edge.
文章引用：黄梦琪, 买吐肉孜·买司地克. 几类图的Aα-能量[J]. 应用数学进展, 2024, 13(10): 4580-4590. https://doi.org/10.12677/aam.2024.1310439

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