The distribution of distances between randomly constructed genomes: generating function, expectation, variance and limits.

Abstract excerpt

Based on a large repertoire of chromosomal rearrangement operations, the genomic distance d between two genomes with chi(r) and chi(b) linear chromosomes, respectively, both containing the same (or orthologous) n genes or markers, is d=n + max(chi(r),chi(b))-c, where c is the number of cycles in the breakpoint graph of the two genomes. In this paper, we study the exact probability distribution of c. We derive the...

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