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Random sampling of 3‐colorings in ℤ2

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/rsa.3240070205openalex-snapshot
A very simple algorithm for estimating the number of k‐colorings of a low‐degree graph
inferredcites →https://doi.org/10.1007/bf01940872openalex-snapshot
On the Number of Eulerian Orientations of a Graph
inferredcites →https://doi.org/10.1007/bf02199113openalex-snapshot
Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem
inferredcites →https://doi.org/10.1007/bfb0068322openalex-snapshot
Random walks on finite groups and rapidly mixing markov chains
inferredcites →https://doi.org/10.1017/cbo9780511721335.005openalex-snapshot
Random Walks on Combinatorial Objects
inferredcites →https://doi.org/10.1063/1.533196openalex-snapshot
Improved bounds for sampling colorings
inferredcites →https://doi.org/10.1063/1.533199openalex-snapshot
Analyzing Glauber dynamics by comparison of Markov chains
inferredcites →https://doi.org/10.1088/0031-9112/34/4/045openalex-snapshot
Exactly Solved Models in Statistical Mechanics
inferredcites →https://doi.org/10.1109/sfcs.1997.646111openalex-snapshot
Path coupling: A technique for proving rapid mixing in Markov chains
inferredcites →https://doi.org/10.1137/s0097539799360355openalex-snapshot
Markov Chain Algorithms for Planar Lattice Structures
inferredcites →https://doi.org/10.1214/aoap/1026915617openalex-snapshot
Markov chain decomposition for convergence rate analysis
inferredcites →https://doi.org/10.1214/aoap/1034968224openalex-snapshot
Logarithmic Sobolev inequalities for finite Markov chains
inferredcites →https://doi.org/10.1214/aoap/1177005359openalex-snapshot
Comparison Theorems for Reversible Markov Chains

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.5281/zenodo.23731060zenodo-depositor-declared
inferred← citeshttps://doi.org/10.1002/rsa.20303openalex-snapshot
The mixing time of Glauber dynamics for coloring regular trees
inferred← citeshttps://doi.org/10.1002/rsa.20560openalex-snapshot
Randomly coloring planar graphs with fewer colors than the maximum degree
inferred← citeshttps://doi.org/10.1002/rsa.v36:4openalex-snapshot
inferred← citeshttps://doi.org/10.1007/978-3-540-24698-5_12openalex-snapshot
Sampling Grid Colorings with Fewer Colors
inferred← citeshttps://doi.org/10.1007/978-3-540-74839-7_17openalex-snapshot
Mixing 3-Colourings in Bipartite Graphs
inferred← citeshttps://doi.org/10.1007/s00220-021-04181-0openalex-snapshot
Delocalization of Uniform Graph Homomorphisms from $${\mathbb {Z}}^2$$ to $${\mathbb {Z}}$$
inferred← citeshttps://doi.org/10.1007/s10955-023-03181-9openalex-snapshot
The Blume–Emery–Griffiths Model on the FAD Point and on the AD Line
inferred← citeshttps://doi.org/10.1016/j.ejc.2009.03.011openalex-snapshot
Mixing 3-colourings in bipartite graphs
inferred← citeshttps://doi.org/10.1016/j.jda.2006.04.001openalex-snapshot
Path coupling without contraction
inferred← citeshttps://doi.org/10.1016/j.jda.2008.09.006openalex-snapshot
Sampling Eulerian orientations of triangular lattice graphs
inferred← citeshttps://doi.org/10.1016/j.tcs.2017.01.014openalex-snapshot
Sampling weighted perfect matchings on the square-octagon lattice
inferred← citeshttps://doi.org/10.1017/s0963548321000080openalex-snapshot
Polynomial-time approximation algorithms for the antiferromagnetic Ising model on line graphs
inferred← citeshttps://doi.org/10.1088/1742-5468/2005/10/p10012openalex-snapshot
Rapid mixing for lattice colourings with fewer colours
inferred← citeshttps://doi.org/10.1109/focs.2004.63openalex-snapshot
Strong Spatial Mixing for Lattice Graphs with Fewer Colours
inferred← citeshttps://doi.org/10.1112/s1461157000001169openalex-snapshot
Improved Mixing Bounds for the Anti-Ferromagnetic Potts Model on Z 2
inferred← citeshttps://doi.org/10.1137/12089538xopenalex-snapshot
Phase coexistence and torpid mixing in the 3-coloring model on ${\mathbb Z}^d$
inferred← citeshttps://doi.org/10.1137/s0097539704445470openalex-snapshot
Strong Spatial Mixing with Fewer Colors for Lattice Graphs
inferred← citeshttps://doi.org/10.1142/s012905410800639xopenalex-snapshot
A SYSTEMATIC SCAN FOR 7-COLOURINGS OF THE GRID
inferred← citeshttps://doi.org/10.1214/105051605000000683openalex-snapshot
Systematic scan for sampling colorings
inferred← citeshttps://doi.org/10.70675/b9a69b41z56efz40ccz814dza2639f67b149openalex-snapshot
Reconfiguration and combinatorial games
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