Overview
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Explore a 19-minute IEEE conference talk on advanced graph theory and sampling techniques. Dive into the concepts of sampling graphs without forbidden subgraphs and unbalanced expanders with negligible error. Follow along as speakers Benny Applebaum and Eliran Kachlon guide you through key topics including motivation, problem statements, main results, efficient sampler/tester, corollaries, and the main ideas behind sampling and testing. Gain insights into the technical aspects of distinctness gadgets and their applications. Conclude with a comprehensive understanding of these complex graph theory concepts and their practical implications in computer science and mathematics.
Syllabus
Intro
Motivation
Example
First Problem
Second Problem
Main Results: Efficient Sampler/Teste
Corollaries
Negligible-Error Unbalanced Expander
Main idea
Sampling
Testing
Distinctness Gadget
Technicalities
Conclusion
Taught by
IEEE FOCS: Foundations of Computer Science