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Currently displaying 1 – 4 of 4

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The Laplacian spread of graphs

Zhifu You; Bo Lian Liu — 2012

Czechoslovak Mathematical Journal

The Laplacian spread of a graph is defined as the difference between the largest and second smallest eigenvalues of the Laplacian matrix of the graph. In this paper, bounds are obtained for the Laplacian spread of graphs. By the Laplacian spread, several upper bounds of the Nordhaus-Gaddum type of Laplacian eigenvalues are improved. Some operations on Laplacian spread are presented. Connected $c$ -cyclic graphs with $n$ vertices and Laplacian spread $n - 1$ are discussed.

The signless Laplacian separator of graphs.

You, Zhifu; Liu, Bolian — 2011

ELA. The Electronic Journal of Linear Algebra [electronic only]

On $λ_{1}$ -extremal non-regular graphs.

Liu, Bolian; Huang, Yufei; You, Zhifu — 2009

ELA. The Electronic Journal of Linear Algebra [electronic only]

Erratum to “A note on the largest eigenvalue of non-regular graphs”.

Liu, Bolian; Mu-Huo, Liu; You, Zhifu — 2009

ELA. The Electronic Journal of Linear Algebra [electronic only]

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