Results 61 to 70 of about 477,790 (171)

The First Zagreb Index, the Laplacian Spectral Radius, and Some Hamiltonian Properties of Graphs

Mathematics
The first Zagreb index of a graph G is defined as the sum of the squares of the degrees of all the vertices in G. The Laplacian spectral radius of a graph G is defined as the largest eigenvalue of the Laplacian matrix of the graph G.
Rao Li
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On the maximum spectral radius of multipartite graphs

AKCE International Journal of Graphs and Combinatorics, 2020
Let be an integer. A graph is called r – partite if V admits a partition into r parts such that every edge has its ends in different parts. All of the r – partite graphs with given integer r consist of the class of multipartite graphs.
Jian Wu, Haixia Zhao
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The Ratios Between The Spectral Norm, The Numerical Radius And The Spectral Radius

World Academy of Science, Engineering and Technology, 2010
{"references": ["B. Beckermann, S. A. Goreinov, and E. E. Tyrtyshnikov. Some Remarks\non the Elman Estimate for GMRES. SIAM J. Matrix Anal. Appl.,\n27(3):772-778, 2006.", "L. Caston, M. Savova, I. Spitkovsky, and N. Zobin. On eigenvalues\nand boundary curvature of the numerical range. Linear Algebra Appl.,\n322(1-3):129-140, 2001.", "M. Eiermann and O.
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Linear Maps Preserving the Spectral Radius

Journal of Functional Analysis, 1996
Let \(X\) be a complex Banach space and \({\mathcal B}(X)\) the algebra of all bounded linear operators on \(X\). For \(A\in{\mathcal B}(X)\) let \(\sigma(A)\) and \(r(A)\) denote the spectrum and the spectral radius of \(A\). It has been shown by \textit{A. A. Jafarian} and \textit{A. R. Sourour} [J. Funct. Anal.
Brešar, Matej, Šemrl, Peter
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Comparison Theorems for Single and Double Splittings of Matrices

Journal of Applied Mathematics, 2013
Some comparison theorems for the spectral radius of double splittings of different matrices under suitable conditions are presented, which are superior to the corresponding results in the recent paper by Miao and Zheng (2009).
Cui-Xia Li, Qun-Fa Cui, Shi-Liang Wu
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Bounds for the Z-eigenpair of general nonnegative tensors

Open Mathematics, 2016
In this paper, we consider the Z-eigenpair of a tensor. A lower bound and an upper bound for the Z-spectral radius of a weakly symmetric nonnegative irreducible tensor are presented.
Liu Qilong, Li Yaotang
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Extremal Unicyclic Graphs With Minimal Distance Spectral Radius

Discussiones Mathematicae Graph Theory, 2014
The distance spectral radius ρ(G) of a graph G is the largest eigenvalue of the distance matrix D(G). Let U (n,m) be the class of unicyclic graphs of order n with given matching number m (m ≠ 3).
Lu Hongyan, Luo Jing, Zhu Zhongxun
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Why the Spectral Radius? An intuition-building introduction to the basic reproduction number. [PDF]

Bull Math Biol, 2022
Brouwer AF.
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The Distance Laplacian Spectral Radius of Clique Trees

Discrete Dynamics in Nature and Society, 2020
The distance Laplacian matrix of a connected graph G is defined as ℒG=TrG−DG, where DG is the distance matrix of G and TrG is the diagonal matrix of vertex transmissions of G.
Xiaoling Zhang, Jiajia Zhou
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Spectral radius algebras and $C_0$ contractions [PDF]

Proceedings of the American Mathematical Society, 2008
Let \(\mathcal H\) be a complex, separable Hilbert space and let \(\mathcal L(\mathcal H)\) denote the algebra of all bounded linear operators on \(\mathcal H\). For an operator \(A\in\mathcal L(\mathcal H)\) with spectral radius \(r\) and for a positive integer \(m\), define \(d_m=m/(1+rm)\) and \(R_m=(\sum_{n=0}^\infty d_m^{2n}A^{*n}A^n)^{1/2}\). The
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