Advances in Linear Algebra & Matrix Theory

Volume 4, Issue 4 (December 2014)

ISSN Print: 2165-333X   ISSN Online: 2165-3348

Google-based Impact Factor: 0.11  Citations  

The Bounds for Eigenvalues of Normalized Laplacian Matrices and Signless Laplacian Matrices

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DOI: 10.4236/alamt.2014.44017    3,598 Downloads   4,823 Views  

ABSTRACT

In this paper, we found the bounds of the extreme eigenvalues of normalized Laplacian matrices and signless Laplacian matrices by using their traces. In addition, we found the bounds for k-th eigenvalues of normalized Laplacian matrix and signless Laplacian matrix.

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Büyükköse, S. and Eski, S. (2014) The Bounds for Eigenvalues of Normalized Laplacian Matrices and Signless Laplacian Matrices. Advances in Linear Algebra & Matrix Theory, 4, 201-204. doi: 10.4236/alamt.2014.44017.

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