The Distribution of Genomic Distance between Random Genomes

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). Key words: breakpoint graph, cycle size, probability model, genomic rearrangements, random graph.

• Type: Journal
• Year: 2006
• Where: JCB
• Authors: David Sankoff, Lani Haque
• Keywords: Breakpoint Graph, JCB 2006, Random, Random Gene Order