The Reversal Median Problem
Published Online:1 Feb 2003https://doi.org/10.1287/ijoc.15.1.93.15155
References
- Combinatorial Optimization Problems and Their Approximability Properties (1999) (Springer-Verlag, Berlin, Germany) Google Scholar
- A linear-time algorithm for computing inversion distance between signed permutations with an experimental study. Journal of Computational Biology (2001) 8:483–491Crossref, Google Scholar
- Genome rearrangements and sorting by reversals. SIAM Journal on Computing (1996) 25:272–289Crossref, Google Scholar
- On some tighter inapproximability results: Further improvements. Proceedings of the 26th International Colloquium on Automata, Languages and Programming, Lecture Notes in Computer Science (2000) (Springer Verlag, Berlin, Germany) 200–209No. 1644Google Scholar
- , Miyano S., Takagi T. Breakpoint phylogenies. Proceedings of Genome Informatics 1997 (1997) (Universal Academy Press, Tokyo, Japan) 25–34Google Scholar
- (1999) . Personal communicationGoogle Scholar
- Genome-scale evolution: Reconstructing gene orders in the ancestral species. Genome Research (2002) . ForthcomingGoogle Scholar
- A lower bound for the breakpoint bhylogeny problem. Journal of Discrete Algorithms (2002) . ForthcomingGoogle Scholar
- Sorting permutations by reversals and Eulerian cycle decompositions. SIAM Journal on Discrete Mathematics (1999a) 12:91–110Crossref, Google Scholar
- On the tightness of the alternating-cycle lower bound for sorting by reversals. Journal of Combinatorial Optimization (1999b) 3:149–182Crossref, Google Scholar
- Formulations and hardness of multiple sorting by reversals. Proceedings of the 3rd Annual International Conference on Computational Molecular Biology (RECOMB'99) (1999c) (ACM Press, New York) 84–93Crossref, Google Scholar
- The reversal median problem. Research Report OR/01/12 (2001) . DEIS, University of Bologna, Italy http://www.or.deis.unibo.it/alberto/online.htmGoogle Scholar
- Sorting permutations by reversals through branch-and-price. INFORMS Journal on Computing (2001) 13:224–244Link, Google Scholar
- A 3/2 approximation algorithm for sorting by reversals. Proceedings of the 9th Annual ACM-SIAM Symposium on Discrete Algorithms (1998) (ACM Press, New York) 244–252Google Scholar
- , Sankoff D., Nadeau J. H. An empirical comparison of phylogenetic methods on chloroplast gene order data in campanulaceae. Comparative Genomics: Empirical and Analytical Approaches to Gene Order Dynamics (2000) (Kluwer Academic Publishers, Dordrecht, The Netherlands) 99–121Crossref, Google Scholar
- The ellipsoid method and its consequences in combinatorial optimization. Combinatorica (1981) 1:169–197Crossref, Google Scholar
- Algorithms on Strings, Trees and Sequences: Computer Science and Computational Biology (1997) (Cambridge University Press, Cambridge, UK) Crossref, Google Scholar
- Genome sequence comparison and scenarios for gene rearrangements: A test case. Genomics (1995) 30:299–311Crossref, Google Scholar
- Transforming cabbage into turnip (polynomial algorithm for sorting signed permutations by reversals). Journal of the ACM (1999) 48:1–27Crossref, Google Scholar
- , Ball M., Magnanti T., Monma C., Nemhauser G. The traveling salesman problem. Network Models, Handbooks in Operations Research and Management Science (1995) 7(Elsevier, Amsterdam, The Netherlands) 225–330Google Scholar
- Faster and simpler algorithm for sorting signed permutations by reversals. SIAM Journal on Computing (2000) 29:880–892Crossref, Google Scholar
- Efficient bounds for oriented chromosome inversion distance. Proceedings of 5th Annual Symposium on Combinatorial Pattern Matching, Lecture Notes in Computer Science (1994) (Springer Verlag, Berlin, Germany) 307–325No. 807Crossref, Google Scholar
- Exact and approximation algorithms for sorting by reversals, with application to genome rearrangement. Algorithmica (1995) 13:180–210Crossref, Google Scholar
- Steps toward accurate reconstructions of phylogenies from gene-order data. Journal of Computer and System Sciences (2002) 65(3):508–525Crossref, Google Scholar
- New approaches to phylogeny reconstruction from gene order data. Bioinformatics (2001a) 17:165S–173SCrossref, Google Scholar
- A new implementation and detailed study of breakpoint analysis. Proceedings of the 6th Pacific Symposium on Biocomputing (PSB 2001) (2001b) (World Scientific Publishing, Singapore) 583–594Google Scholar
- The median problems for break points are NP-complete. (1998) . ECCC Report No. 71, University of Trier, Germany. http://www.eccc.uni-trier.deGoogle Scholar
- , Sankoff D., Nadeau J. H. Approximation algorithms for the median problem in the breakpoint model. Comparative Genomics: Empirical and Analytical Approaches to Gene Order Dynamics (2000) (Kluwer Academic Publishers, Dordrecht, The Netherlands) 225–241Crossref, Google Scholar
- Multiple genome rearrangement and breakpoint phylogenies. Journal of Computational Biology (2000) 5:555–570Crossref, Google Scholar
- Early eukaryote evolution based on mitochondrial gene order breakpoints. Journal of Computational Biology (2000) 7:521–536Crossref, Google Scholar
- , Sankoff D., Nadeau J. H. Duplication, rearrangement and reconciliation. Comparative Genomics: Empirical and Analytical Approaches to Gene Order Dynamics (2000) (Kluwer Academic Publishers, Dordrecht, The Netherlands) 537–550Crossref, Google Scholar
- Comparative Genomics: Empirical and Analytical Approaches to Gene Order Dynamics (2000) (Kluwer Academic Publishers, Dordrecht, The Netherlands) Crossref, Google Scholar
- Steiner points in the space of genome rearrangements. International Journal of Foundations of Computer Science (1996) 7:1–9Crossref, Google Scholar
- Introduction to Computational Molecular Biology (1997) (PWS Publishing, Boston, MA) Google Scholar

