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cs.DM2026
Faster FPRAS for the Permanent via Restricted Poincaré Inequalities and Coupled Flows
Xiaoyu Chen, Eric Vigoda, Xiongxin Yang
The permanent of an matrix equals the number of perfect matchings in the bipartite graph with edges defined by . Jerrum, Sinclair, and Vigoda (2004) presen…
cs.DM2024
Optimal Mixing for Randomly Sampling Edge Colorings on Trees Down to the Max Degree
Charlie Carlson, Xiaoyu Chen, Weiming Feng +1
We address the convergence rate of Markov chains for randomly generating an edge coloring of a given tree. Our focus is on the Glauber dynamics which updates the color at a randoml…