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。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.
出处
《应用数学进展》
2024年第10期4580-4590,共11页
Advances in Applied Mathematics
