Random preorders and alignments

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Random preorders and alignments

A preorder consists of linearly ordered equivalence classes called blocks, and an alignment is a sequence of cycles on n labelled elements. We investigate the block structure of a random preorder chosen uniformly at random among all preorders on n elements, and also the distribution of cycles in a random alignment chosen uniformly at random among all alignments on n elements, as n →∞.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2010

ISSN: 0012-365X

DOI: 10.1016/j.disc.2009.04.021