The Nordhaus-Gaddum type inequalities of Aα-matrix
The Nordhaus-Gaddum type inequalities of Aα-matrix
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DOI：
10.1016/j.amc.2019.124716
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发表时间：
2020-01
期刊：
影响因子：
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通讯作者：
Xing Huang;Huiqiu Lin;Jie Xue
中科院分区：
文献类型：
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作者：
Xing Huang;Huiqiu Lin;Jie Xue
For a real number α∈[0, 1], the A α-matrix of a graph G is defined as A α (G)= α D (G)+(1− α) A (G), where A (G) and D (G) are the adjacency matrix and diagonal degree matrix of G, respectively. The A α-spectral radius of G, denoted by ρ α (G), is the largest eigenvalue of A α (G). In this paper, the Nordhaus–Gaddum type bounds for the A α-spectral radius are considered.
