The course spectral theory of graphs and hypergraphs was prepared for the PhD students of the BeyondTheEdge MSCA Doctoral Network. The aim of the course is to introduce participants to spectral methods in discrete mathematics, with emphasis on the normalized Laplacian of graphs and hypergraphs, as well as on the non-backtracking Laplacian of graphs.
Lecture material
Lecture notes with exercises.
Further reading
See references in the lecture notes.
J. Jost, R. Mulas and D. Zhang. Spectra of Discrete Structures. Cambridge University Press, Forthcoming.