Handshake Problem: Graph Representation

Related lectures (30)

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

Covers the basics of graph theory, including network flows, degrees of vertices, walks, and subgraphs.

Explores graph traversal methods, spanning trees, and shortest paths using BFS and DFS.

Explores graph coloring, directed cycles, LLL algorithm applications, and element dependencies in graphs.

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

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

Discusses the importance of assembly in manufacturing and covers common couplings, stability, and spatial vectors.

Covers the fundamentals of Markov chains and their applications in algorithms, focusing on proper coloring and the Metropolis algorithm.

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

Covers graphical models for probability distributions and factor graphs representation.