Results 101 to 110 of about 14,787 (152)
While discussing his spectral bound on the independence number of a graph, Herbert Wilf asked back in 1986 what kind of a graph admits an eigenvector consisting solely of ± 1 entries? We prove that Wilf’s problem is NP-complete, but also that the set of graphs having a ± 1 eigenvector is quite rich, being closed under a number of different graph ...
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Robust Eigenvector of a Stochastic Matrix with Application to PageRank
International audienceWe discuss a definition of robust dominant eigenvector of a family of stochastic matrices. Our focus is on application to ranking problems, where the proposed approach can be seen as a robust alternative to the standard PageRank ...
Anatoli Juditsky +3 more
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Covariance Blind Detection Method Based on Eigenvector in Cognitive Radio Network
As the blind detection algorithm has the shortcoming that they need information about the channel and more than two cognitive users to detect the primary user,a new blind detection algorithm based on eigenvector using the difference of correlation ...
Yingxue Li +4 more
doaj
Percentage of variance captured by each eigenvector.
Percentage of variance captured by each eigenvector.
Vaideesh Parasaram (710709) +4 more
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The subgraph eigenvector centrality of graphs
Let $G$ be a connected graph and let $F$ be a connected subgraph of $G$ with a given structure. We consider that the centrality of a vertex $i$ of $G$ is determined by the centrality of other vertices in all subgraphs contain $i$ and isomorphic to $F ...
Bu, Changjiang +2 more
core
The approximation of an eigenvector by ritzvectors [PDF]
Eigenvalue algorithms belonging to the class of the Rayleigh-Ritz methods (Krylov-space methods for example) use `projections' on subspaces to produce approximations to eigenvalues and eigenvectors of a matrix. This paper focuses on the eigenvectors. Two
Smit, P.
core
On derivatives of eigenvalues, eigenvectors and generalized eigenvectors of matrices
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Perron-Frobenius and Krein-Rutman theorems for tangentially positive operators
Kanigowski Adam, Kryszewski Wojciech
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Some New Results on the Eigenvector Centrality
In this article we establish new results on the components of the principal eigenvector in an undirected graph. Those results are particularly significant in relation to the concept of centrality in social networks.
Rosanna Grassi, Anna Torriero
exaly +2 more sources
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On the construction of p-eigenvectors
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2020Summary: Recent investigations led to the definition of \(p\)-eigenvectors: such vectors for a matrix, that the fraction of the vector norms of the matrix-vector product and the nonzero vector (as in defining a natural matrix norm) is independent of the applied \(p\)-norm. This paper elaborates this concept further, presenting general results, proof of
Lócsi, Levente, Németh, Zsolt
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