Uniform Spanning Tree

April 17, 2024, 12:15 PM - 1:15 PM

Location:

Mathematics Graduate Student Lounge -- 7th Floor

Rutgers University

Hill Center

Mathematics Department

110 Frelinghuysen Road

Piscataway, NJ 08854

Minhao Bai, Rutgers University

Given a graph, a uniform spanning tree (UST) is defined as a random tree sampled uniformly from all of its spanning trees. How can we program that? Why is this useful? I will introduce Wilson's algorithm to sample UST and some other properties of UST if time permits.