Results 41 to 50 of about 1,181,505 (283)
Optimal network modification for spectral radius dependent phase transitions
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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New Condition of Automatic Continuity of Dense Range Homomorphisms on Jordan – Banach Algebras [PDF]
The following open problem stated that, if T: A⟶B is a dense range homomorphism between Banach algebras A and B such that B is semi-simple. Is T automatically continuous? (see [1]).
RUQAYAH N. BALO +2 more
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The Ratios Between The Spectral Norm, The Numerical Radius And The Spectral Radius
{"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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Emerging experimental and computational methods for studying redox‐regulated structural transitions
Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass +2 more
wiley +1 more source
The VHL tumor suppressor at the crossroad of protein folding, aggregation, and cancer
Mutations, environmental stress, and chaperone dysfunction can destabilize pVHL, promoting its conversion from the native folded state into amyloid‐like assemblies. This transition may contribute to protein storage, cell dormancy, survival, and drug resistance.
Lara Abad +2 more
wiley +1 more source
The Laplacian spectral radius of graphs [PDF]
summary:The Laplacian spectral radius of a graph is the largest eigenvalue of the associated Laplacian matrix. In this paper, we improve Shi's upper bound for the Laplacian spectral radius of irregular graphs and present some new bounds for the Laplacian
Jianxi Li +5 more
core +1 more source
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source
Extending stability through hierarchical clusters in Echo State Networks
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
doaj +1 more source
Spectral Sufficient Conditions on Pancyclic Graphs
A pancyclic graph of order n is a graph with cycles of all possible lengths from 3 to n. In fact, it is NP-complete that deciding whether a graph is pancyclic.
Guidong Yu +3 more
doaj +1 more source
Degree Deviation and Spectral Radius
For a finite, simple, and undirected graph $G$ with $n$ vertices, $m$ edges, and largest eigenvalue $\lambda$, Nikiforov introduced the degree deviation of $G$ as$$s=\sum_{u\in V(G)}\left|d_G(u)-\frac{2m}{n}\right|.$$Contributing to a conjecture of Nikiforov, we show $\lambda-\frac{2m}{n}\leq \sqrt{\frac{2s}{3}}$.
Dieter Rautenbach, Florian Werner 0003
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