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Lecture

Sparsest Cut: Leighton-Rao Algorithm

In course

CS-455: Topics in theoretical computer science

The students gain an in-depth knowledge of several current and emerging areas of theoretical computer science. The course familiarizes them with advanced techniques, and develops an understanding of fundamental questions that underlie some of the key probl ...

Description

This lecture covers the Leighton-Rao algorithm for finding the sparsest cut in a graph, focusing on the algorithm's steps and theoretical foundations. It explains the process of identifying the sparsest cut using vertex sets and edge expansions, with a detailed analysis of the algorithm's performance and applications.

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Ontological neighbourhood

Mathematics

Discrete mathematics: Graph theory

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Vertex (graph theory)

In discrete mathematics, and more specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set of vertices and a set of edges (unordered pairs of vertices), while a directed graph consists of a set of vertices and a set of arcs (ordered pairs of vertices). In a diagram of a graph, a vertex is usually represented by a circle with a label, and an edge is represented by a line or arrow extending from one vertex to another.

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