Sparsest Cut and Concurrent Flow

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Description

This lecture covers the concept of sparsest cut in undirected graphs, NP-completeness, and the Bougains Theorem. It also discusses concurrent flow, where flow can be routed between all pairs of vertices simultaneously. Examples of expanders and concurrent flow are provided.

Official source

Ontological neighbourhood

Mathematics

Discrete mathematics: Graph theory

Related lectures (29)

https://mediaspace.epfl.ch/media/0_e54vb7a3

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In course

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Ontological neighbourhood

Mathematics

Discrete mathematics: Graph theory

Related lectures (29)

Connectivity in Graph Theory

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Sparsest Cut: ARV Theorem

Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.

Graph Theory and Network Flows

Introduces graph theory, network flows, and flow conservation laws with practical examples and theorems.

Graph Theory: Connectivity and Properties

Explores the properties of undirected and directed graphs, emphasizing connectivity and network topology modeling.

Expander Graphs: Properties and Eigenvalues

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