Recent Results in the Theory of Graph Spectra

By Dragos M. Cvetkovic, Michael Doob, Ivan Gutman, A. Torgašev. 2012

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Some properties of the distance Laplacian eigenvalues of a graph (2013, background): “For more details about the adjacency spectrum of a graph see the books [5, 9, 10, 11, 24].”
Homogeneous trees of second order Sturm-Liouville equations: A general theory and program (2008, unknown): “, books [29, 52, 54, 57, 58, 207] and the surveys [121, 163, 208]).”
The Laplacian eigenvalues of graphs: a survey (2011, background): “The adjacency matrix of a graph and its eigenvalues have been much investigated in the monographs [14] and [15].”
Maxima and Minima of the Hosoya Index and the Merrifield-Simmons Index (2010, background): “The energy E = E(G) of a graph G is, by definition, equal to the sum of absolute values of the eigenvalues of this graph [5, 6, 18, 23, 27, 28].”
THE NORMALIZED LAPLACIAN MATRIX AND GENERAL RANDI C INDEX OF GRAPHS (2010, methodology): “This method of construction produces 72% of the cospectral graphs on nine vertices with respect to the A-eigenvalues [16], and has been applied to other matrix representations.”