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Linear Matroid Matching in the Oracle Model

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Combinatorial Optimization Courses Advanced Algorithms Courses Matroid Theory Courses

Course Description

Overview

Explore a lecture on linear matroid matching in the oracle model presented by Gyula Pap at the Hausdorff Center for Mathematics. Delve into the challenges of solving linear matroid matching problems when matrix representations are not provided, focusing on cases where the matroid is only known through an independence oracle. Discover how this approach eliminates the need for linear algebraic computation by utilizing repeated oracle-calls along alternating paths. Learn about the method's roots in Gabow and Stallmann's work and how it recovers a similar combinatorial structure. Gain insights into applications in connectivity, rigidity, and count matroids. This 44-minute talk, part of the Hausdorff Trimester Program on Combinatorial Optimization, offers a deep dive into advanced concepts in matroid theory and algorithmic problem-solving.

Syllabus

Gyula Pap: Linear matroid matching in the oracle model


Taught by

Hausdorff Center for Mathematics

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