@InProceedings{blanca_et_al:LIPIcs.APPROX/RANDOM.2022.24, author = {Blanca, Antonio and Gheissari, Reza}, title = {{Sampling from Potts on Random Graphs of Unbounded Degree via Random-Cluster Dynamics}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2022)}, pages = {24:1--24:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-249-5}, ISSN = {1868-8969}, year = {2022}, volume = {245}, editor = {Chakrabarti, Amit and Swamy, Chaitanya}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2022.24}, URN = {urn:nbn:de:0030-drops-171463}, doi = {10.4230/LIPIcs.APPROX/RANDOM.2022.24}, annote = {Keywords: Potts model, random-cluster model, random graphs, Markov chains, mixing time, tree uniqueness} }