Dynamic Matching and Ordered Ruzsa-Szemerédi Graphs - Towards Constructive Matching Sparsifiers
Offered By: Simons Institute via YouTube
Course Description
Overview
Explore dynamic matching algorithms and Ruzsa-Szemerédi graphs in this lecture from the Simons Institute. Delve into the concept of matching sparsifiers and their importance in preserving large matchings in induced subgraphs. Learn about the non-constructive proof by Goel, Kapralov, and Khanna for sparse matching sparsifiers in bipartite graphs, and discover approaches to overcome its limitations. Examine conditionally fast dynamic algorithms for approximate matchings, with a focus on the fully dynamic setting where graphs undergo edge insertions and deletions. Gain insights into maintaining approximate maximum matchings efficiently in dynamic graphs. The lecture draws from recent research on fully dynamic matching, ordered Ruzsa-Szemerédi graphs, and the application of regularity lemma in streaming and dynamic matching problems.
Syllabus
Dynamic Matching and (Ordered) Ruzsa-Szemerédi Graphs: Towards Constructive Matching Sparsifiers
Taught by
Simons Institute
Related Courses
Intermediate Network Analysis in PythonDataCamp Discriminative Prototype Selection for Graph Embedding
University of Central Florida via YouTube Canonical Structures Inside Platonic Solids II - Universal Hyperbolic Geometry
Insights into Mathematics via YouTube Stability and Combinatorics in Pure Model Theory - Lecture 11
Fields Institute via YouTube More on Graphs and Euler's Formula in Algebraic Topology - Lecture 10
Insights into Mathematics via YouTube