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Approximation algorithms for the fixed-topology phylogenetic number problem
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UNSPECIFIED (1997) Approximation algorithms for the fixed-topology phylogenetic number problem. In: 8th Annual Symposium on Combinatorial Pattern Matching (CPM 97), UNIV AARHUS, AARHUS, DENMARK, JUN 30-JUL 02, 1997. Published in: COMBINATORIAL PATTERN MATCHING, PROCEEDINGS, 1264 pp. 130-149.
Full text not available from this repository.Abstract
In the l-phylogeny problem, one wishes to construct an evolutionary tree for a. set of species represented by characters, in which each state of each character induces no more than l connected components. We consider the fixed-topology version of this problem for fixed-topologies of arbitrary degree. This version of the problem is known to be NP-complete for l greater than or equal to 3 even for degree-3 trees in which no state labels more than l + 1 leaves (and therefore there is a trivial l + 1 phylogeny) We give a 2-approximation algorithm for all l greater than or equal to 3 for arbitrary input topologies and we give an optimal approximation algorithm that constructs a 4-phylogeny when a 3-phylogeny exists. Dynamic programming techniques, which are typically used in fixed-toplogy problems, cannot be applied to l-phylogeny problems. Our 2-approximation algorithm is the first application of linear programming to approximation algorithms for phylogeny problems. We extend our results to a related problem in which characters are polymorphic.
| Item Type: | Conference Item (UNSPECIFIED) |
|---|---|
| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software |
| Series Name: | LECTURE NOTES IN COMPUTER SCIENCE |
| Journal or Publication Title: | COMBINATORIAL PATTERN MATCHING, PROCEEDINGS |
| Publisher: | SPRINGER-VERLAG BERLIN |
| ISBN: | 3-540-63220-4 |
| ISSN: | 0302-9743 |
| Editor: | Apostolico, A and Hein, J |
| Date: | 1997 |
| Volume: | 1264 |
| Number of Pages: | 20 |
| Page Range: | pp. 130-149 |
| Publication Status: | Published |
| Title of Event: | 8th Annual Symposium on Combinatorial Pattern Matching (CPM 97) |
| Location of Event: | UNIV AARHUS, AARHUS, DENMARK |
| Date(s) of Event: | JUN 30-JUL 02, 1997 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/11855 |
Data sourced from Thomson Reuters' Web of Knowledge
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