Nonpositive eigenvalues of the adjacency matrix and lower bounds for Laplacian eigenvalues

Author:

Charles Zachary B.,Farber Miriam,Johnson Charles R.,Kennedy-Shaffer Lee

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference18 articles.

1. S. Akbari, P.J. Cameron, G.B. Khosrovshahi, Ranks and signatures of adjacency matrices, unpublished manuscript.

2. A lower bound for the Laplacian eigenvalues of a graph—proof of a conjecture by Guo;Brouwer;Linear Algebra Appl.,2008

3. Z. Charles, M. Farber, C.R. Johnson, L. Kennedy-Shaffer, Nonpositive eigenvalues of hollow symmetric nonnegative matrices (submitted for publication).

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

5. Inequalities based on the basis of the spectrum of the graph;Cvetković;Studia Sci. Math. Hungar.,1973

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