Handling Networks: Graph Theory

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Related lectures (30)

Expander Graphs: Properties and Eigenvalues Log in to Mediaspace to watch this video

Explores expanders, Ramanujan graphs, eigenvalues, Laplacian matrices, and spectral properties.

Graph Algorithms: Modeling and Representation Log in to Mediaspace to watch this video

Covers the basics of graph algorithms, focusing on modeling and representation of graphs in memory.

Graphs and Networks: Basics and Applications Log in to Mediaspace to watch this video

Introduces the basics of graphs and networks, covering definitions, paths, trees, flows, circulation, and spanning trees.

Directed Networks & Hypergraphs Log in to Mediaspace to watch this video

Explores directed networks with asymmetric relationships and hypergraphs that generalize graphs by allowing edges to connect any subset of nodes.

Embedding Graphs into Trees Log in to Mediaspace to watch this video

Covers embedding graphs into trees with a focus on minimizing distortion and Bartal Tree embeddings.

Statistical Analysis of Network Data: Noisy Sampled Networks Log in to Mediaspace to watch this video

Explores statistical analysis of network data, covering noisy sampled networks, likelihood estimation, multilayer networks, and directed networks.

Graphical Models: Probability Distributions and Factor Graphs Log in to Mediaspace to watch this video

Covers graphical models for probability distributions and factor graphs representation.

Relations Between Events Log in to Mediaspace to watch this video

Explores relations between events, disjunctive constraints, and modeling with binary variables in optimization problems.

Minimum Spanning Trees Log in to Mediaspace to watch this video

Covers the implementation and analysis of disjoint sets data structure and introduces the concept of minimum spanning trees.

ANOVA: Partitioning Total SS Log in to Mediaspace to watch this video

Covers ANOVA method, focusing on partitioning total sum of squares into treatment and error components, mean square calculations, Fisher statistic, and F-distribution.

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