Spectral Graph Theory - Lecture 1

Explore the foundations of spectral graph theory in this comprehensive lecture by Hemant Bhate from the International Centre for Theoretical Sciences. Delve into key concepts including the spectral theorem for self-adjoint matrices, Rayleigh equalities, and the Binet-Cauchy formula for determinants. Examine graph isomorphisms, Cayley graphs, and automorphism groups. Gain insights into the symmetric group and an introduction to representation theory. Enhance your understanding of complex systems dynamics through this in-depth, 91-minute presentation that includes examples and a Q&A session.