Building Ramanujan GraphsExplores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.
Graphs and matricesExplores graphs and matrices, including adjacency, degree, and Laplace matrices, Matrix-tree theorem, and spanning trees.
Graphs and ProbabilitiesExplores the connection between graphs and probabilities, emphasizing modular and super modular probabilities and correlation properties.
Handling Network DataCovers handling network data, types of graphs, centrality measures, and properties of real-world networks.
Complex Roots and PolynomialsExplores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
