Random generation of combinatorial structures from a uniform
Theoretical Computer Science
WABI '02 Proceedings of the Second International Workshop on Algorithms in Bioinformatics
On Computing the Breakpoint Reuse Rate in Rearrangement Scenarios
RECOMB-CG '08 Proceedings of the international workshop on Comparative Genomics
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Combinatorics of Genome Rearrangements
Combinatorics of Genome Rearrangements
Finding all sorting tandem duplication random loss operations
Journal of Discrete Algorithms
A unifying view of genome rearrangements
WABI'06 Proceedings of the 6th international conference on Algorithms in Bioinformatics
Hi-index | 5.23 |
The huge number of solutions in genome rearrangement problems calls for algorithms for counting and sampling in the space of solutions, rather than drawing one arbitrary scenario. A closed formula exists for counting the number of DCJ scenarios between co-tailed genomes, but no polynomial result has been published so far for arbitrary genomes. We prove here that it admits a Fully Polynomial time Randomized Approximation Scheme. We use an MCMC almost uniform sampler and prove that it converges to the uniform distribution in fully polynomial time. The MCMC can be used to quickly draw a sample of DCJ scenarios from a prescribed distribution and test some hypotheses on genome evolution.