Bounds for sums of eigenvalues and applications
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Publication:1568718
DOI10.1016/S0898-1221(00)00060-2zbMath0957.15013MaRDI QIDQ1568718
Publication date: 29 March 2001
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
graphnonnegative matricesstochastic matricesLaplacian matrixalgebraic connectivitycoefficient of ergodicitysums of eigenvalueseigenvalues bounds
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Connectivity (05C40) Stochastic matrices (15B51)
Related Items (8)
Some lower bounds for the spectral radius of matrices using traces ⋮ A nontrivial upper bound on the largest Laplacian eigenvalue of weighted graphs ⋮ On Laplacian eigenvalues of connected graphs ⋮ A decreasing sequence of upper bounds on the largest Laplacian eigenvalue of a graph. ⋮ On the sum of the distance signless Laplacian eigenvalues of a graph and some inequalities involving them ⋮ Bounds for the Laplacian spectral radius of graphs ⋮ On the sum of the generalized distance eigenvalues of graphs ⋮ The inverse spectrum problem for positive generalized stochastic matrices
Cites Work
- Upper bounds on the maximum modulus of subdominant eigenvalues of nonnegative matrices
- Majorization, doubly stochastic matrices, and comparison of eigenvalues
- A note on Laplacian graph eigenvalues
- On the Laplacian eigenvalues of a graph
- Laplacian matrices of graphs: A survey
- A new upper bound for eigenvalues of the Laplacian matrix of a graph
- Abschätzungen für die Eigenwerte positiver linearer Operatoren
- A comparison of some bounds for the nontrivial eigenvalues of stochastic matrices
- Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices
- Eigenvalues of the Laplacian of a graph∗
- A functional form for a particular coefficient of ergodicity
- Three observations on nonnegative matrices
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