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On the characterization of graphs with pendent vertices and given nullity.

Liu, Bolian; Huang, Yufei; Chen, Siyuan — 2009

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

Algebraic conditions for $t$ -tough graphs

Bo Lian Liu; Siyuan Chen — 2010

Czechoslovak Mathematical Journal

We give some algebraic conditions for $t$ -tough graphs in terms of the Laplacian eigenvalues and adjacency eigenvalues of graphs.

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