Lower bounds for the first eigenvalue of certain M-matrices associated with graphs

Author:

Friedland Shmuel

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference7 articles.

1. eigenvalues and expanders;Alon,1986

2. A lower bound for the smallest eigenvalue of the Laplacian;Cheeger,1970

3. Difference equation, isoperimetric inequality and transience of certain random walks;Dodziuk;Trans. Amer. Math. Soc.,1984

4. S. Friedland, Estimates of the spectral radius of graphs, Linear Multilin. Algebra, to appear.

5. Matrix Computations;Golub,1989

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1. Spectral bounds of directed Cayley graphs of finite groups;Israel Journal of Mathematics;2022-06

2. On spectral integral variations of mixed graphs;Linear Algebra and its Applications;2003-11

3. On the Perron roots of principal submatrices of co-order one of irreducible nonnegative matrices;Linear Algebra and its Applications;2003-03

4. Schur complements and its applications to symmetric nonnegative and Z-matrices;Linear Algebra and its Applications;2002-09

5. On Cheeger-type inequalities for weighted graphs;Journal of Graph Theory;2002-07-29

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