On the second largest eigenvalue of some Cayley graphs of the symmetric group
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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
On the largest eigenvalue of signed unicyclic graphs
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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
EDGEWORTH CORRECTION FOR THE LARGEST EIGENVALUE IN A SPIKED PCA MODEL.
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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