# The Problem of Chromosome Reincorporation in DCJ Sorting and Halving

@inproceedings{Kovc2010ThePO, title={The Problem of Chromosome Reincorporation in DCJ Sorting and Halving}, author={Jakub Kov{\'a}c and Mar{\'i}lia Dias Vieira Braga and Jens Stoye}, booktitle={RECOMB-CG}, year={2010} }

We study two problems in the double cut and join (DCJ) model: sorting - transforming one multilinear genome into another and halving - transforming a duplicated genome into a perfectly duplicated one. The DCJ model includes rearrangement operations such as reversals, translocations, fusions and fissions. We can also mimic transpositions or block interchanges by two operations: we extract an appropriate segment of a chromosome, creating a temporary circular chromosome, and in the next step we…

## 5 Citations

### Genome Halving by Block Interchange

- MathematicsBIOINFORMATICS
- 2012

This work addresses the problem of finding the minimal number of block interchanges required to transform a duplicated linear genome into a tandem duplicatedlinear genome and provides a formula for the distance as well as a polynomial time algorithm for the sorting problem.

### Single Tandem Halving by Block Interchange

- MathematicsBIOSTEC
- 2012

A formula for the distance as well as a polynomial time algorithm for the sorting problem is provided and this is the extended version of [1], addressing the problem of finding the minimal number of block interchanges required to transform a duplicated unilinear genome.

### Constraints on genes shape long-term conservation of macro-synteny in metazoan genomes

- BiologyBMC Bioinformatics
- 2011

A simple model of genome evolution, in which DCJ moves are allowed only if they maintain chromosomal linkage among a set of constrained genes, can simultaneously account for the level of macro-synteny conservation and for correlated conservation among multiple pairs of species.

### Rearrangement Problems with Duplicated Genomic Markers

- BiologyArXiv
- 2014

This work aims at designing means to evaluate relative evolutionary distances between species, or to infer common ancestor genomes to a group of species, in the particular case where genomes present multiple occurrencies of genes, which makes things more complex.

### Restricted DCJ Model: Rearrangement Problems with Chromosome Reincorporation

- Computer ScienceJ. Comput. Biol.
- 2011

A new algorithm for the restricted sorting problem running in O(n log n) time is proposed, thus improving on the known quadratic time algorithm and it is shown that the restricted median problem is NP-hard as conjectured.

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