New posts in Spectral Graph Theory

Conjecture of van der Holst and Pendavingh related to bound for Colin de Verdière invariant

Fiedler vector, what else?

What happens to eigenvalues when edges are removed?

Where does $2\sqrt{d-1}$ come from in Ramanujan graphs?

Meaning of eigenvalue 1 and symmetry in Laplacian spectra of graphs

limiting empirical spectral distribution of the Laplacian matrix on an Erdos-Renyi graph?

spectrum of an adjacency matrix

Spectral theory of graph Laplacian besides $\lambda_2$

Dimension of Specht Modules $S^\lambda$

Classes of graphs for which isospectrum implies isomorphism ?