|
|||||
|
|
| Bounds on the Aα-Spectral Radius of a C3-Free Graph | |
| 作者姓名： | Dongxia ZHU Shuguang GUO Rong ZHANG |
| 作者单位： | School of Mathematics and Statistics;School of Mathematics and Statistics |
| 基金项目： | Supported by the National Natural Science Foundation of China(Grant Nos.12071411,12171222)。 |
| 摘 要： | Let G be a simple undirected graph.For any real numberα∈[0,1],Nikiforov defined the Aα-matrix of G as Aα(G)=αD(G)+(1-α)A(G)in 2017,where A(G)and D(G)are the adjacency matrix and the degree diagonal matrix of G,respectively.In this paper,we obtain a lower bound on the Aα-spectral radius of a C3-free graph forα∈[0,1)and a sharp upper bound on the Aα-spectral radius of a C3-free k-cycle graph forα∈[1/2,1). |
| 关 键 词： | C3-free graph k-cycle graph Aα-spectral radius BOUND |
| 本文献已被 维普 等数据库收录！ | |