Title
The binary perfect phylogeny with persistent characters
Abstract
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
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 Bonizzoni150252.23
Chiara Braghin21058.86
Riccardo Dondi315914.12
Gabriella Trucco46811.86