A connection between ordinary and Laplacian spectra of bipartite graphs

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Linear Algebra and its Applications (2010, background): “To begin with, we recall from [7] some stability and conservation properties of the semi-discrete system(1.2).”
On the Laplacian coefficients of unicyclic graphs (2009, background): “[9] recently established a connection between ordinary and Laplacian spectra of bipartite graphs, and from Corollary 2 of their paper it follows that 2LEL(G) = E(S(G)),”
Towards a spectral theory of graphs based on the signless Laplacian, I (2009, background): “As noted in [10], the following formula appears implicitly in the literature (see e.g., [6, p. 63] and [34]”
EIGENVALUE BOUNDS FOR THE SIGNLESS LAPLACIAN (2007, background): “The following formula appears implicitly in the literature (see e.g., [5, p. 63] and [ 25 ]):”
On the Laplacian coefficients of acyclic graphs (2007, background): “In this note we present a different proof of (2) and obtain a strengthening of Zhou and Gutman's result.”