GENERATING A RANDOM LINEAR EXTENSION OF A PARTIAL ORDER

成果类型:
Article
署名作者:
MATTHEWS, P
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
DOI:
10.1214/aop/1176990349
发表日期:
1991
页码:
1367-1392
关键词:
摘要:
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.
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