@InProceedings{blanca_et_al:LIPIcs.APPROX-RANDOM.2018.33, author = {Blanca, Antonio and Galanis, Andreas and Goldberg, Leslie Ann and Stefankovic, Daniel and Vigoda, Eric and Yang, Kuan}, title = {{Sampling in Uniqueness from the Potts and Random-Cluster Models on Random Regular Graphs}}, booktitle = {Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2018)}, pages = {33:1--33:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-085-9}, ISSN = {1868-8969}, year = {2018}, volume = {116}, editor = {Blais, Eric and Jansen, Klaus and D. P. Rolim, Jos\'{e} and Steurer, David}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX-RANDOM.2018.33}, URN = {urn:nbn:de:0030-drops-94371}, doi = {10.4230/LIPIcs.APPROX-RANDOM.2018.33}, annote = {Keywords: sampling, Potts model, random regular graphs, phase transitions} }