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Abstract
Using the double-cut-and-join (DCJ) model for genome rearrangement we use
combinatorial techniques to analyze the distribution of genomes under DCJ distance.
We present an exponential generating function for the number of genomes that
are maximally distant from a given genome and provide a formula for the
number of genomes that are any given distance from an arbitrary starting
genome.
Keywords
genome rearrangement, double cut and join, generating
function
Mathematical Subject Classification 2010
Primary: 05E05, 68R15
Milestones
Received: 14 December 2012
Revised: 30 March 2013
Accepted: 1 April 2013
Published: 31 May 2014
Communicated by Anant Godbole