Geodesic
Spectral graph theory and the inverse eigenvalue problem of a graph
The electronic journal of linear algebra, Tome 14 (2005), pp. 12-31.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Spectral Graph Theory is the study of the spectra of certain matrices defined from a given graph, including the adjacency matrix, the Laplacian matrix and other related matrices. Graph spectra have been studied extensively for more than fifty years. In the last fifteen years, interest has developed in the study of generalized Laplacian matrices of a graph, that is, real symmetric matrices with negative off-diagonal entries in the positions described by the edges of the graph (and zero in every other off-diagonal position).
Classification : 05C50, 15A18
Keywords: spectral graph theory, minimum rank, generalized Laplacian, inverse eigenvalue problem, colin de verdi`ere matrix 
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Hogben, Leslie. Spectral graph theory and the inverse eigenvalue problem of a graph. The electronic journal of linear algebra, Tome 14 (2005), pp. 12-31. http://geodesic.mathdoc.fr/item/ELA_2005__14__a3/