Difference between revisions of "Matroids seminar/ideas"

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* Matroids in combinatorial optimization
 
* Matroids in combinatorial optimization
 
* Matroids in information theory
 
* Matroids in information theory
* The same set of authors wrote a series of three papers called “Log-Concave Polynomials I, II, & III”. In first two, they (lightly but crucially) apply results from Hodge Theory of Combo Geo & Botong and June Huh’s paper to develop new basis counting algorithms (I think this was a problem that Jose brought up at our first meeting). In the final one provides “a self-contained proof of Mason’s strongest conjecture”, a result that strengthens the log-concavity result of Hodge Theory for Combo Geo
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* The same set of authors wrote a series of three papers called “Log-Concave Polynomials I, II, & III”: they develop basis counting algorithms & prove the strongest version of Mason's conjecture
 
** LCP I: “First nontrivial deterministic basis-counting algorithm for general matroids” https://arxiv.org/abs/1807.00929
 
** LCP I: “First nontrivial deterministic basis-counting algorithm for general matroids” https://arxiv.org/abs/1807.00929
 
** Randomized algorithm for basis-counting. They also prove a 30-year-old conjecture about the exchange graph of the bases https://arxiv.org/abs/1811.01816
 
** Randomized algorithm for basis-counting. They also prove a 30-year-old conjecture about the exchange graph of the bases https://arxiv.org/abs/1811.01816
 
** The self-contained proof of Mason’s conjecture. This one is very short. https://arxiv.org/abs/1811.01600
 
** The self-contained proof of Mason’s conjecture. This one is very short. https://arxiv.org/abs/1811.01600

Revision as of 14:17, 16 February 2019

Looking to come talk at matroids seminar? Don't know what to talk about? Look no further! This page houses the world's finest selection of matroid-related talk ideas that we'd like to hear. Feel free to pile on your own ideas.