Results 1 to 10 of about 478,134 (315)
Local Homeostatic Regulation of the Spectral Radius of Echo-State Networks [PDF]
Frontiers in Computational Neuroscience, 2021 Recurrent cortical networks provide reservoirs of states that are thought to play a crucial role for sequential information processing in the brain.
Fabian Schubert, Claudius Gros
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Relating Estrada index with spectral radius [PDF]
Journal of the Serbian Chemical Society, 2007 The Estrada index EE is a recently proposed molecular structure-descriptor, used in the modeling of certain features of the 3D structure of organic molecules, in particular of the degree of folding of proteins and other long-chain biopolymers.
Gutman Ivan +4 more
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Some new sharp bounds for the spectral radius of a nonnegative matrix and its application [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we give some new sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix. Using these bounds, we obtain some new and improved bounds for the signless Laplacian spectral radius of a graph or a digraph.
Jun He +3 more
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On the joint spectral radius. II [PDF]
Proceedings of the American Mathematical Society, 1992 In this paper we show that if T = ( T 1 , … , T n ) {\mathbf {T}} = ({T_1}, \ldots ,{T_n}) is a commuting n n -tuple of operators ...
Muneo Chō +2 more
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Bounds of the Spectral Radius and the Nordhaus-Gaddum Type of the Graphs [PDF]
The Scientific World Journal, 2013 The Laplacian spectra are the eigenvalues of Laplacian matrix L(G)=D(G)-A(G), where D(G) and A(G) are the diagonal matrix of vertex degrees and the adjacency matrix of a graph G, respectively, and the spectral radius of a graph G is the largest ...
Tianfei Wang, Liping Jia, Feng Sun
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Spectral Radius and Hamiltonicity of Graphs
Discussiones Mathematicae Graph Theory, 2019 In this paper, we study the Hamiltonicity of graphs with large minimum degree. Firstly, we present some conditions for a simple graph to be Hamilton-connected and traceable from every vertex in terms of the spectral radius of the graph or its complement,
Yu Guidong +3 more
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Some inequalities on the spectral radius of matrices [PDF]
Journal of Inequalities and Applications, 2018 Let A 1 , A 2 , … , A k $A_{1}, A_{2},\ldots, A_{k}$ be nonnegative matrices. In this paper, some upper bounds for the spectral radius ρ ( A 1 ∘ A 2 ∘ ⋯ ∘ A k ) $\rho(A_{1}\circ A_{2}\circ\cdots\circ A_{k})$ are proposed.
Linlin Zhao, Qingbing Liu
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A note on distance spectral radius of trees
Special Matrices, 2017 The distance spectral radius of a connected graph is the largest eigenvalue of its distance matrix. We determine the unique non-starlike non-caterpillar tree with maximal distance spectral radius.
Wang Yanna +3 more
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Optimal network modification for spectral radius dependent phase transitions
New Journal of Physics, 2016 The dynamics of contact processes on networks is often determined by the spectral radius of the networks adjacency matrices. A decrease of the spectral radius can prevent the outbreak of an epidemic, or impact the synchronization among systems of coupled
Yonatan Rosen +2 more
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Connected Hypergraphs with Small Spectral Radius [PDF]
Linear Algebra and its Applications, 2014 In 1970 Smith classified all connected graphs with the spectral radius at most $2$. Here the spectral radius of a graph is the largest eigenvalue of its adjacency matrix.
Lu, Linyuan, Man, Shoudong
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