Facebook Social Graph: Structure and Small-World Phenomenon

Related lectures (31)

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Explores the Bellman-Ford algorithm, its correctness, and practical applications in dynamic networks and real-world scenarios.

Explores interlacing families, Ramanujan graphs, and their construction using signed adjacency matrices.

Introduces unweighted bipartite matching and its solution using linear programming and the simplex method.

Explores the Szemerédi Regularity Lemma, e-regularity in bipartite graphs, supergraph structure, and induction techniques.

Explores interlacing families of polynomials and 1-sided Ramanujan graphs, focusing on their properties and construction methods.

Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.

Explores Laplacian flow, heat equation analogies, and microgrid networked controllers.

Covers the definition of flow in a network and flow calculation.

Covers the calculation of paths in a graph, focusing on amplitude-weighted paths.

Explores non-parametric regression for networks, covering object data analysis, network graphs, extrinsic distances, and practical projections.