Lecture

Sparsest Cut: (log n) Approximation Algorithm

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MATH-513: Metric embeddings

The course aims to introduce the basic concepts and results on metric embeddings, or more precisely on approximate embeddings. This area has been under rapid development since the 90's and it has strong impact on algorithms for discrete optimization proble ...

Description

This lecture covers the (log n) approximation algorithm for the sparsest cut problem, presenting the mathematical theorems and proofs step by step. It discusses the process of embedding and optimizing the cut metric, emphasizing the efficient randomized algorithm used for computation.

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Related concepts (32)

Mathematical proof

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Theorem

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Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of in formal axiomatic theories. These results, published by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics. The theorems are widely, but not universally, interpreted as showing that Hilbert's program to find a complete and consistent set of axioms for all mathematics is impossible. The first incompleteness theorem states that no consistent system of axioms whose theorems can be listed by an effective procedure (i.

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