Results 1 to 10 of about 56,406 (160)
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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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 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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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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A formula for the inner spectral radius [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 This note presents an asymptotic formula for the minimum of the moduli of the elements in the spectrum of a bounded linear operator acting on Banach space X.
S. Mahmoud Manjegani
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On the α-Spectral Radius of Uniform Hypergraphs
Discussiones Mathematicae Graph Theory, 2020 For 0 ≤ α ---lt--- 1 and a uniform hypergraph G, the α-spectral radius of G is the largest H-eigenvalue of αD(G)+(1−α)A(G), where D(G) and A(G) are the diagonal tensor of degrees and the adjacency tensor of G, respectively. We give upper bounds for the α-
Guo Haiyan, Zhou Bo
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On the spectral radius and energy of signless Laplacian matrix of digraphs [PDF]
Heliyon, 2022 Hilal A Ganie, YILUN Shang
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Generalized Forms of the Kraft Inequality for Finite-State Encoders [PDF]
EntropyWe derive a few extended versions of the Kraft inequality for information lossless finite-state encoders. The main basic contribution is in defining a notion of a Kraft matrix and in establishing the fact that a necessary condition for information ...
Neri Merhav
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Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we discuss some properties of joint spectral {radius(jsr)} and generalized spectral radius(gsr) for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized
Hamideh Mohammadzadehkan +2 more
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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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