On the sum of \(k\) largest eigenvalues of graphs and symmetric matrices
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Publication:1003832
DOI10.1016/j.jctb.2008.07.001zbMath1217.05151OpenAlexW2056219688MaRDI QIDQ1003832
Publication date: 4 March 2009
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jctb.2008.07.001
strongly regular graphTaylor graphsspectral radiusadjacency matrixlargest eigenvaluesymmetric matrixgraph energyeigenvalue sumextremal matrix theory
Related Items (14)
On maximal relative projection constants ⋮ On the sum of signless Laplacian eigenvalues of a graph ⋮ On Zagreb index, signless Laplacian eigenvalues and signless Laplacian energy of a graph ⋮ On the sum of the \(k\) largest eigenvalues of graphs and maximal energy of bipartite graphs ⋮ The sum of the \(k\) largest distance eigenvalues of graphs ⋮ On the sum of the k largest absolute values of Laplacian eigenvalues of digraphs ⋮ Partial sum of eigenvalues of random graphs. ⋮ On the sum of \(k\) largest distance eigenvalues of graphs ⋮ Extrema of graph eigenvalues ⋮ On the sum of two largest eigenvalues of a symmetric matrix ⋮ Extremal norms of graphs and matrices ⋮ On the sum of \(k\) largest singular values of graphs and matrices ⋮ Matching extendability and connectivity of regular graphs from eigenvalues ⋮ On the sum of the generalized distance eigenvalues of graphs
Cites Work
- On the distribution of the roots of certain symmetric matrices
- On the sum of two largest eigenvalues of a symmetric matrix
- The eigenvalues of random symmetric matrices
- On the asymptotic distribution of the eigenvalues of random matrices
- Linear combinations of graph eigenvalues
- Matrix Analysis
- Regular 2-Graphs
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