Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708644 | Applied Mathematics Letters | 2012 | 6 Pages |
Abstract
The Laplacian spectrum of a graph is the eigenvalues of the associated Laplacian matrix. The quotient between the largest and second smallest Laplacian eigenvalues of a connected graph, is called the Laplacian spectral ratio. Some bounds on the Laplacian spectral ratio are considered. We improve a relation on the Laplacian spectral ratio of regular graphs. Especially, the first two smallest Laplacian spectral ratios of graphs with given order are determined. And some operations on Laplacian spectral ratio are presented.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Zhifu You, Bolian Liu,