Generating a Random Linear Extension of a Partial Order
Open Access
- 1 July 1991
- journal article
- research article
- Published by Institute of Mathematical Statistics in The Annals of Probability
- Vol. 19 (3) , 1367-1392
- https://doi.org/10.1214/aop/1176990349
Abstract
Given a partial order of N items, a linear extension that is almost uniformly distributed, in the sense of variation distance, is generated. The algorithm runs in polynomial time. The technique used is a coupling for a random walk on a polygonal subset of the unit sphere in R(N). Included is a discussion of how accurately the steps of the random walk must be computed.Keywords
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