Abstract | ||
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The binary perfect phylogeny model is too restrictive to model biological events such as back mutations. In this paper, we consider a natural generalization of the model that allows a special type of back mutation. We investigate the problem of reconstructing a near perfect phylogeny over a binary set of characters where characters are persistent: characters can be gained and lost at most once. Based on this notion, we define the problem of the Persistent Perfect Phylogeny (referred as P-PP). We restate the P-PP problem as a special case of the Incomplete Directed Perfect Phylogeny, called Incomplete Perfect Phylogeny with Persistent Completion, (refereed as IP-PP), where the instance is an incomplete binary matrix M having some missing entries, denoted by symbol ?, that must be determined (or completed) as 0 or 1 so that M admits a binary perfect phylogeny. We show that the IP-PP problem can be reduced to a problem over an edge colored graph since the completion of each column of the input matrix can be represented by a graph operation. Based on this graph formulation, we develop an exact algorithm for solving the P-PP problem that is exponential in the number of characters and polynomial in the number of species. |
Year | DOI | Venue |
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2011 | 10.1016/j.tcs.2012.05.035 | Theor. Comput. Sci. |
Keywords | DocType | Volume |
IP-PP problem,Persistent Perfect Phylogeny,binary perfect phylogeny model,binary perfect phylogeny,incomplete binary matrix,Incomplete Directed Perfect Phylogeny,persistent character,graph operation,graph formulation,P-PP problem,Incomplete Perfect Phylogeny | Journal | 454, |
ISSN | Citations | PageRank |
0304-3975 | 7 | 0.72 |
References | Authors | |
11 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Paola Bonizzoni | 1 | 502 | 52.23 |
Chiara Braghin | 2 | 105 | 8.86 |
Riccardo Dondi | 3 | 159 | 14.12 |
Gabriella Trucco | 4 | 68 | 11.86 |