A tight bound on the mixing time of a non-trivial Markov chain.
Abstract: This paper examines the problem of sampling (almost) uniformly from the set of linear extensions of a partial order, a classic problem in the theory of approximate sampling. Previous techniques have relied on deep geometric arguments, or have not worked in full generality. Recently, focus has centred on the Karzanov and Khachiyan Markov chain. In this paper, we define a slightly different Markov chain, and present a very simple proof of its rapid mixing, using the method of path coupling. We... (Update)
Similar documents based on text: More All
0.5: Markov Chains for Linear Extensions, - The Two-Dimensional Case
(Correct)
0.2: Examples of Polyhedra - Fukuda
(Correct)
0.2: Coupling vs. Conductance for the Jerrum-Sinclair Chain - Kumar, Ramesh
(Correct)
Related documents from co-citation: More All
8: A random polynomial time algorithm for approximating the volume of a convex body
- Dyer, Frieze et al. - 1991
8: Path coupling: A technique for proving rapid mixing in Markov chains (context) - Bubley, Dyer - 1997
7: Counting linear extensions (context) - Brightwell, Winkler - 1991
BibTeX entry: (Update)
R. Bubley and M. Dyer. Faster random generation of linear extensions. In Proceedings of the Ninth Annual ACM--SIAM Symposium on Discrete Algorithms, pages 175--186, San Francisco, CA, Jan 1998. http://citeseer.ist.psu.edu/bubley97faster.html More
@inproceedings{ bubley98faster,
author = "Russ Bubley and Martin Dyer",
title = "Faster Random Generation of Linear Extensions",
booktitle = "Proceedings of the Ninth Annual {ACM}-{SIAM} Symposium on Discrete Algorithms",
month = "25--27",
address = "San Francisco, California",
pages = "350--354",
year = "1998",
url = "citeseer.ist.psu.edu/bubley97faster.html" }
Citations (may not include all citations):
113
Reversible Markov chains and random walks on graphs (context) - Aldous, Fill - 1994
98
A random polynomial-time algorithm for approximating the vol..
- Dyer, Frieze et al. - 1991
86
The Markov chain Monte Carlo method: an approach to approxim..
- Jerrum, Sinclair - 1996
73
uniform generation and rapidly mixing Markov chains (context) - Sinclair, Jerrum - 1989
49
Path coupling: A technique for proving rapid mixing in Marko.. (context) - Bubley, Dyer - 1997
43
Generating a random permutation with random transpositions (context) - Diaconis, Shahshahani - 1981
29
Computing the volume of convex bodies: A case where randomne..
- Dyer, Frieze - 1991
28
On Markov chains for independent sets
- Dyer, Greenhill - 1997
26
Private Communication (context) - Wilson - 1997
23
the conductance of order Markov chains (context) - Karzanov, Khachiyan - 1991
23
Generating linear extensions fast
- Pruesse, Ruskey - 1994
22
Counting linear extensions (context) - Brightwell, Winkler - 1991
21
Spearman's footrule as a measure of disarray (context) - Diaconis, Graham - 1977
19
Exact sampling with coupled Markov chains and applications t.. (context) - Propp, Wilson - 1996
10
Mixing times of lozenge tiling and card shuffling Markov cha.. (context) - Wilson - 1997
7
Markov chains for linear extensions (context) - Felsner, Wernisch - 1997
6
Footrule' for measuring correlations (context) - Spearman - 1906
5
Generating a random linear extension of a partial order (context) - Matthews - 1991
1
Definition of Spearman's footrule (context) - Dinneen, Blakesley - 1982
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://agora.leeds.ac.uk/scs/public/services/reports/1997.html): More
Driver Scheduling using Genetic Algorithms with Embedded.. - Kwan, Kwan, Wren (1997)
(Correct)
Inducing Search Methods from Proofs - Lopes (1997)
(Correct)
A Study of a University Department as an Electronic Community - Goorah, Davy (1997)
(Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC