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Convergence of the spectral radius of a random matrix through its characteristic polynomial

Probability theory and related fields, 2020
Consider a square random matrix with independent and identically distributed entries of mean zero and unit variance. We show that as the dimension tends to infinity, the spectral radius is equivalent to the square root of the dimension in probability ...
C. Bordenave   +2 more
semanticscholar   +1 more source

On the A α spectral radius of digraphs with given parameters

Linear and multilinear algebra, 2020
Let G be a digraph and be the adjacency matrix of G. Let be the diagonal matrix with outdegrees of vertices of G. For any real , define the matrix as The largest modulus of the eigenvalues of is called the spectral radius of G.
Weige Xi, W. So, Ligong Wang
semanticscholar   +1 more source

On the generalized adjacency spectral radius of digraphs

Linear and multilinear algebra, 2020
Let D be a digraph of order n and let be the adjacency matrix of D. Let be the diagonal matrix of vertex out-degrees of D. For any real , the generalized adjacency matrix of the digraph D is defined as The largest modulus of the eigenvalues of is called ...
H. A. Ganie, M. Baghipur
semanticscholar   +1 more source

Spectral radius of graphs forbidden C7 or C6△

Discrete Mathematics, 2022
Junying Lu, Lu Lu, Yongtao Li
semanticscholar   +1 more source

The spectral radius of graphs with given independence number

Discrete Mathematics, 2022
Zhenzhen Lou, Ji-Ming Guo
semanticscholar   +1 more source

Spectral radius and matchings in graphs

Linear Algebra and its Applications, 2021
Suil O
semanticscholar   +1 more source

The A-spectral radius and perfect matchings of graphs

Linear Algebra and its Applications, 2021
Yanhua Zhao, Xueyi Huang, Zhiwen Wang
semanticscholar   +1 more source

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