Improved mixing condition on the grid for counting and sampling independent sets

DOI10.1007/s00440-012-0421-8zbMath1341.82019arXiv1105.0914OpenAlexW2568660165MaRDI QIDQ1955841

Jinwoo Shin, Linji Yang, Prasad Tetali, Eric Vigoda, Ricardo L. Restrepo

Publication date: 19 June 2013

Published in: Probability Theory and Related Fields, 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0914

zbMATH Keywords

approximation algorithmphase transitionGlauber dynamicslattice gasGibbs measures

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Graph algorithms (graph-theoretic aspects) (05C85) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Approximation algorithms (68W25)

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