The Aα-Spectral Radii of Graphs with Given Connectivity
Mathematics, 2019 The A α -matrix is A α ( G ) = α D ( G ) + ( 1 − α ) A ( G ) with α ∈ [ 0 , 1 ] , given by Nikiforov in 2017, where A ( G ) is adjacent matrix, and D ( G ) is its ...
Chunxiang Wang, Shaohui Wang
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Albertson (Alb) spectral radii and Albertson (Alb) energies of graph operation
Frontiers in Chemistry, 2023 The sum of the absolute eigenvalues of the adjacency matrix make up graph energy. The greatest absolute eigenvalue of the adjacency matrix is represented by the spectral radius of the graph.
Muhammad Mobeen Munir, Urwah Tul Wusqa
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Lower spectral radius and spectral mapping theorem for suprema preserving mappings
, 2017 We study Lipschitz, positively homogeneous and finite suprema preserving mappings defined on a max-cone of positive elements in a normed vector lattice.
Müller, Vladimir, Peperko, Aljoša
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A spectral method for discriminating thermodynamic phase and retrieving cloud optical thickness and effective radius using transmitted solar radiance spectra [PDF]
Atmospheric Measurement Techniques, 2015 A new retrieval scheme for cloud optical thickness, effective radius, and thermodynamic phase was developed for ground-based measurements of cloud shortwave solar spectral transmittance.
S. E. LeBlanc +3 more
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Topological radicals, V. From algebra to spectral theory [PDF]
, 2012 We introduce and study procedures and constructions in the theory of the joint spectral radius that are related to the spectral theory. In particular we devlop the theory of the scattered radical.
Shulman, Victor S., Turovskii, Yuri V.
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Spectral radius and extremal graphs for class of unicyclic graph with pendant vertices
Advances in Mechanical Engineering, 2017 In this article, we research on the spectral radius of extremal graphs for the unicyclic graphs with girth g mainly by the graft transformation and matching and obtain the upper bounds of the spectral radius of unicyclic graphs.
Lu Zhi +5 more
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Extending stability through hierarchical clusters in Echo State Networks
Frontiers in Neuroinformatics, 2010 Echo State Networks (ESN) are reservoir networks that satisfy well-established criteria for stability when constructed as feedforward networks. Recent evidence suggests that stability criteria are altered in the presence of reservoir substructures, such ...
Sarah Jarvis +5 more
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Sequences of bounds for the spectral radius of a positive operator
, 2019 In 1992, Szyld provided a sequence of lower bounds for the spectral radius of a nonnegative matrix $A$, based on the geometric symmetrization of powers of $A$.
Drnovšek, Roman
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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 ...
Chō, Muneo +2 more
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Efficient Method for Computing Lower Bounds on the $p$-radius of Switched Linear Systems
, 2016 This paper proposes lower bounds on a quantity called $L^p$-norm joint spectral radius, or in short, $p$-radius, of a finite set of matrices. Despite its wide range of applications to, for example, stability analysis of switched linear systems and the ...
Brewer +21 more
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