几类图的A_α-能量  

Aα-Energy of Some Classes of Graphs

作　　者：黄梦琪 买吐肉孜·买司地克 

机构地区：[1]新疆师范大学数学科学学院,新疆 乌鲁木齐

出　　处：《应用数学进展》2024年第10期4580-4590,共11页Advances in Applied Mathematics

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.

关 键 词：A_α-能量 完全图 完全二部图 完全等多部图 友谊图 风车图 

分 类 号：O15[理学—数学]