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   Articles with "largest eigenvalue" as a keyword



On the second largest eigenvalue of some Cayley graphs of the symmetric group

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recommendations! Published in 2021 at "Journal of Algebraic Combinatorics"

DOI: 10.1007/s10801-021-01080-4

Abstract: Let $$S_n$$ S n and $$A_{n}$$ A n denote the symmetric and alternating group on the set $$\{1,\ldots ,n\},$$ { 1 , … , n } , respectively. In this paper we are interested in… read more here.

Keywords: gamma; lambda gamma; cayley; second largest ... See more keywords

Connected triangle-free planar graphs whose second largest eigenvalue is at most 1

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recommendations! Published in 2024 at "Computational and Applied Mathematics"

DOI: 10.1007/s40314-024-03027-4

Abstract: Let λ2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda _2$$\end{document} be the second largest eigenvalue of the adjacency matrix of a connected graph. Li and Sun (Results Math 78:104, 2023) determined all the… read more here.

Keywords: largest eigenvalue; second largest; document; documentclass 12pt ... See more keywords

On the largest eigenvalue of signed unicyclic graphs

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recommendations! Published in 2019 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2019.06.016

Abstract: Abstract Signed graphs are graphs whose edges get signs ±1 and, as for unsigned graphs, they can be studied by means of graph matrices. Here we focus our attention to the largest eigenvalue, also known… read more here.

Keywords: signed graphs; unicyclic graphs; eigenvalue signed; largest eigenvalue ... See more keywords
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EDGEWORTH CORRECTION FOR THE LARGEST EIGENVALUE IN A SPIKED PCA MODEL.

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recommendations! Published in 2018 at "Statistica Sinica"

DOI: 10.5705/ss.202017.0296

Abstract: We study improved approximations to the distribution of the largest eigenvalue ℓ ^ of the sample covariance matrix of n zero-mean Gaussian observations in dimension p + 1. We assume that one population principal component… read more here.

Keywords: eigenvalue spiked; correction; spiked pca; correction largest ... See more keywords