Fetching the paper…
Reading the bibliography…
Sampling from Gibbs distribution is a central problem in computer science as well as in statistical physics.
G. R. Grimmett and C. J. H. McDiarmid. On colouring random graphs
1975
Earlier work this paper cites.
F. Kelly. Stochastic models of computer communication systems
1985
Earlier work this paper cites.
J. van den Berg and C. Maes. Disagreement percolation in the study of Markov fields
1994
Earlier work this paper cites.
M. Jerrum and A. Sinclair. The Markov chain Monte Carlo method:an approach to approximate counting and integration
1996
Earlier work this paper cites.
B. G. Pittel, J. Spencer and N. C .Wormald. Sudden emergence of a giant k k -core in a random graph
1996
Earlier work this paper cites.
R. Bubley and M. Dyer. Path Coupling: a Technique for Proving Rapid Mixing in Markov Chains
1997
Earlier work this paper cites.
M. Dyer, A. M. Frieze and M. Jerrum. On counting independent sets in sparse graphs
1999
Earlier work this paper cites.
E. Vigoda. Improved bounds for sampling colorings
1999
Earlier work this paper cites.
M. Dyer, C. S. Greenhill. On Markov chains for independent sets
2000
Earlier work this paper cites.
S. Janson, T. Luczak and A. Rucinski. Random graphs
2000
Earlier work this paper cites.
E. Vigoda. A note on the glauber dynamics for sampling independent sets
2001
Cited alongside, same era.
M. Jerrum. Counting, Sampling and Integrating: Algorithms and Complexity,
2003
Cited alongside, same era.
D. Achlioptas, and A. Naor. The two possible values of the chromatic number of a random graph
2004
Cited alongside, same era.
M. Dyer, A. M. Frieze, A. Hayes, E. Vigoda. Randomly colouring constant degree graphs
2004
Cited alongside, same era.
F. Martinelli, A. Sinclair and D. Weitz. Fast mixing for independent sets, colorings and other models on trees. In proc. of 15th SODA, pp 456-465, 2004
2004
Cited alongside, same era.
M. Molloy. The Glauber dynamics on the colourings of a graph with large girth and maximum degree
D. Weitz. Counting independent sets up to the tree threshold
2006
Later among the works it cites.
A. Frieze and E. Vigoda. A Survey on the use of Markov Chains to Randomly Sample Colorings
2007
Later among the works it cites.
T. Hayes, J. Vera and E. Vigoda. Randomly coloring planar graphs with fewer colors than the maximum degree
2007
Later among the works it cites.
F. Krzakala, A. Montanari, F. Ricci-Tersenghi, G. Semerjian, L. Zdeborova. Gibbs states and the set of solutions of random constraint satisfaction problems
2007
Later among the works it cites.
D. Levin, Y. Peres and E. Wilmer. Markov Chains and Mixing Times
2008
Later among the works it cites.
E. Mossel and A. Sly. Gibbs Rapidly Samples Colorings of G n , d / n G_{n,d/n}
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2004
Cited alongside, same era.
L. A. Goldberg, R. A. Martin, M. Paterson. Strong Spatial Mixing with Fewer Colors for Lattice Graphs
2005
Cited alongside, same era.
M. Dyer, A. Flaxman, A. M. Frieze and E. Vigoda. Random colouring sparse random graphs with fewer colours than the maximum degree
2006
Cited alongside, same era.
A. M. Frieze, J. Vera. On randomly colouring locally sparse graphs
2006
Cited alongside, same era.
C. Efthymiou. A simple algorithm for random colouring G ( n , d / n ) G(n,d/n) up to Gibbs Uniqueness
Cited in the paper.
2010
Later among the works it cites.
A. Coja-Oghlan, D. Vilenchik: The chromatic number of random graphs for most average degrees. International Mathematics Research Notices 2016:5801-5859
2016
Closest in time.
C. Efthymiou, T. P. Hayes, D. Stefankovic, E. Vigoda and Y. Yin. Convergence of MCMC and Loopy BP in the Tree Uniqueness Region for the Hard-Core Model
2016
Closest in time.
Y. Yin and C. Zhang, Sampling in Potts Model on Sparse Random Graphs
2016
Closest in time.