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Random generation of embedded graphs and an extension to Dobrushin uniqueness (extended abstract)

Published: 23 May 1998 Publication History
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References

[1]
D. Aldous, Random walks on finite groups and rapidly mixing Markov chains, in Sgminaire de Probabilitgs XVII, Lecture Notes in Mathematics 986, pages 243-297. $pfinger-Verlag, 1982.
[2]
D, Aldous and J. Fill. Reversible Markov Chains andRandom Walks on Graphs. Book in preparation, 1995.
[3]
N, Alon, Eigenvalues and expanders. Combinatodca, 6:83- 96, 1986,
[4]
R, Bubley and M, Dyer. Path coupling: A technique for provtng rapid mixing in Markov chains. In Proe. of the 3&h Annual Symposium on Foundations of Computer Science, 1997.
[5]
R. Bubley and M. Dyer. Faster random generation of linear exten.~tons, In Proceedings of tile Ninth Annual ACM. SIAM Symposium on Discrete Algorithms, San Francisco, California, 1998,
[6]
R, Bubley, M, Dyer, and C, Greenhill. Beating the 2A bound for approximately counting coloufings: A computer-assisted proof of rapid mixing. In Proceedings of the Ninth Annual ACM.$IAM $),mposium on Discrete Algorithms, San Fran. c1$co, California, 1998,
[7]
R, L, Dobrushin. The description of a random field by means of conditional probabilities and conditions of its regularity. Theory of Probability and its Applications, 13(2):197-224, 1968,
[8]
R, L, Dobrushin. Prescribing systems of random variables by conditional distributions. Theory of Probability and its Applications, 15(3):458--486, 1970.
[9]
R, L, Dobrushin and S. B. Shlosman. Constructuve criterion for the uniqueness of Gibbs field, 1985.
[10]
M, Dyer and C. Oreenhill, On Markov chains for independent t;eta, (preprint), 1997.
[11]
$, Elliot, Physics of Amorphous Materials. Longman, 1990.
[12]
M, R, Oarey and D. S. Johnson. Computers and Intractability: a gtdde to the theory of NP.completeness. W. H. Freeman, 1979,
[13]
L, Goldberg and M, $errum. Randomly sampling molecules. In Proc, of the 8th AnnuaI ACM-SlAM Symposium on Discrete Algorithms, 1997,
[14]
V, Gore and M, Jerrum. The Swendsen-Wang process does not always mix rapidly. Technical Report ECS-LFCS-96-349, University of Edinburgh, Department of Computer Science, 1996,
[15]
M. Jerrum. A very simple algorithm for estimating the number of k-eolourings of a low-density graph. Random $truc. tures and Algorithms, 6, 1995.
[16]
M. Jerrum and A. Sinclair. Approximating the permanent. SIAM Journal on Computing, 18:1149--1178, 1989.
[17]
M. $errum and A. Sinclair. Polynomial-time approximation algorithms for the Ising model. SiAM Journal on Computing, 22(5):1087-1116, October 1993.
[18]
L.A. Levin. Average-ease complete problems. $1AMJournal on Computing, 15:285--286, 1986.
[19]
T. Lindvall. Lectures on the Coupling Method. Wiley, 1992.
[20]
M. Luby, D. Randall, and A. Sinclair. Markov chain also. rithms for planar lattice structures (extended abstract). In 36th Annual S37nposium on Foundations of Computer Science, pages 150-159, Milwaukee, Wisconsin, 23-25 October 1995. IEEE.
[21]
N. Madras and D. Randall. Factoring graphs to bound mixing rates. In 37th Annual $3~posium on Foundations of Computer Science, pages 194--203. IEEE, 1996.
[22]
R. Motwani and P. Raghavan. Randomized Algorithms. Cam. bridge University Press, 1995.
[23]
M. Peinado and T. Lengauer. 'Go with the winners' generators with applications to molecular modeling. In J. Rolim, editor, Proceedings of the ist international ¿Orkshop on Ran. domization and Approximation Techniques in Computer Sci. ence, pages 135--149. Spfinger-Vefiag, 1997. Lecture Notes in Computer Science 1269.
[24]
J. Salas and A. Sokal. Absence of phase transition for anfiferromagnetie Potts models via the Dobmshin uniqueness theorem. Journal of Statistical Physics, 1996. (to appear).
[25]
B. Simon. The Statistical Mechanics of Lattice Gases. Princeton University Press, 1993.
[26]
A. Sinclair. Algorithms For Random Generation And Counting. Progress In Theoretical Computer Science. Birkhauser, Boston, 1993.

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  • (2002)Algorithms for Almost-Uniform Generation with an Unbiased Binary SourceComputing and Combinatorics10.1007/3-540-68535-9_15(117-126)Online publication date: 4-Jun-2002

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cover image ACM Conferences
STOC '98: Proceedings of the thirtieth annual ACM symposium on Theory of computing
May 1998
684 pages
ISBN:0897919629
DOI:10.1145/276698
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Published: 23 May 1998

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  • (2002)Algorithms for Almost-Uniform Generation with an Unbiased Binary SourceComputing and Combinatorics10.1007/3-540-68535-9_15(117-126)Online publication date: 4-Jun-2002

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