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Published on: May 9, 2011
The distribution of genomic distance between random genomes
1Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada. sankoff@uottawa.ca
Abstract:
We study the probability distribution of genomic distance d under the hypothesis of random gene order. We translate the random order assumption into a stochastic method for constructing the alternating color cycles in the decomposition of the bicolored breakpoint graph. For two random genomes of length n, we show that the expectation of n - d is O((1/2) log n).
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