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The maximal Aα-spectral radius of graphs with given matching number
Linear and Multilinear Algebra ( IF 1.1 ) Pub Date : 2021-04-07 , DOI: 10.1080/03081087.2021.1910120 Qianqian Chen 1 , Qiongxiang Huang 2
中文翻译:
具有给定匹配数的图的最大 Aα 谱半径
更新日期:2021-04-07
Linear and Multilinear Algebra ( IF 1.1 ) Pub Date : 2021-04-07 , DOI: 10.1080/03081087.2021.1910120 Qianqian Chen 1 , Qiongxiang Huang 2
Affiliation
Let be the set of simple graphs of order n with given matching number β. In this paper, we characterize the extremal graphs with maximal -spectral radius in for , which generalizes the results for adjacency matrix in [Feng L, Yu G, Zhang X-D. Spectral radius of graphs with given matching number. Linear Algebra Appl. 2007;422:133–138, Theorem 1.1] and signless Laplacian matrix in [Yu G. On the maximal signless Laplacian spectral radius of graphs. Proc Japan Acad Ser A. 2018, Theorem 2.5].
中文翻译:
具有给定匹配数的图的最大 Aα 谱半径
让是具有给定匹配数β的n阶简单图集。在本文中,我们用极大值来表征极值图-光谱半径为了, 它概括了 [Feng L, Yu G, Zhang XD. 中邻接矩阵的结果。具有给定匹配数的图的谱半径。线性代数应用。2007;422:133–138,定理 1.1] 和 [Yu G. 中的无符号拉普拉斯矩阵。关于图的最大无符号拉普拉斯谱半径。Proc Japan Acad Ser A. 2018,定理 2.5]。