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A Multi-compartment Homogenized Perfusion Model for Deforming Hierarchical Vasculature
Hohl J +4 more
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On the spectral radius and the energy of eccentricity matrices of graphs
Linear and multilinear algebra, 2021The eccentricity matrix of a connected graph G is obtained from the distance matrix of G by retaining the largest distance in each row and each column and setting the remaining entries as 0.
Iswar Mahato +3 more
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Minimizing Spectral Radius of Non-Backtracking Matrix by Edge Removal
International Conference on Information and Knowledge Management, 2021The spectral radius of the non-backtracking matrix for an undirected graph plays an important role in various dynamic processes running on the graph.
Zuobai Zhang +2 more
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On an inequality for spectral radius
Linear and Multilinear Algebra, 1996In this note we first extend and then give a related result to an inequality involving the spectral radius of nonnegative matrices that recently appeared in the literature.
Josip Pečarić, B. Mono
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A note on the ABC spectral radius of graphs
Linear and multilinear algebra, 2020The ABC matrix of a graph G, recently introduced by Estrada, is the square matrix of order whose -entry is if the ith vertex and the jth vertex of G are adjacent, and 0 otherwise, where is the degree of the ith vertex of G.
Xiaodan Chen
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The generalized spectral radius, numerical radius and spectral norm
Linear and Multilinear Algebra, 1984Given n×n complex matrices A, C with eigenvalues αj, γj, 1 ⩾ j ⩾ n, respectively, we have the relation where and respectively are the generalized spectral radius, generalized numerical radius and generalized spectral norm of A with respect to C. For C = diag(1,0,…,0), it reduces to the classical relation In this note, we investigate matrices for which .
Tin-Yau Tam, Chi-Kwong Li, Nam-Kiu Tsing
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Convergence of the spectral radius of a random matrix through its characteristic polynomial
Probability theory and related fields, 2020Consider 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
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Some Ostrowski-type bound estimations of spectral radius for weakly irreducible nonnegative tensors
Linear and multilinear algebra, 2020In this paper, by characterizing the ratio of the smallest and largest values of a Perron vector, we propose some Ostrowski-type bound estimations for the spectral radius of weakly irreducible nonnegative tensors which improve the existing results. Based
G. Wang, Yanan Wang, Yiju Wang
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On the A α spectral radius of digraphs with given parameters
Linear and multilinear algebra, 2020Let 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
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