Ten spectral graph theory posts

Here are 10 blog posts I wrote earlier this year about spectral graph theory, studying graphs via the eigenvalues of matrices associated with the graphs.

• Measuring graph connectivity with eigenvalues
• Graph regularity and Laplacian eigenvalues
• Adding an edge increases eigenvalues
• Spectral coordinates in Python
• Bipartite graphs and the signless Lapacian
• Spectra of random graphs
• Can you hear the shape of a network?
• Fourier transform of a function on a graph
• Bounding a graph's diameter by its spectrum
• Spectra of complete graphs, stars, and rings