title: Algorithms and Complexity Results for Genome Mapping Problems.
abstract: Genome mapping algorithms aim at computing an ordering of a set of genomic markers based on local ordering information such as adjacencies and intervals of markers. In most genome mapping models, markers are assumed to occur uniquely in the resulting map. We introduce algorithmic questions that consider repeats, i.e., markers that can have several occurrences in the resulting map. We show that, provided with an upper bound on the copy number of repeated markers and with intervals that span full repeat copies, called repeat spanning intervals, the problem of deciding if a set of adjacencies and repeat spanning intervals admits a genome representation is tractable if the target genome can contain linear and/or circular chromosomal fragments. We also show that extracting a maximum cardinality or weight subset of repeat spanning intervals given a set of adjacencies that admits a genome realization is NP-hard but fixed-parameter tractable in the maximum copy number and the number of adjacent repeats, and tractable if intervals contain a single repeated marker.
authors.forename: Ashok
authors.initials: A
authors.lastname: Rajaraman
authors.forename: Joao Paulo Pereira
authors.initials: JP
authors.lastname: Zanetti
authors.forename: Jan
authors.initials: J
authors.lastname: Manuch
authors.forename: Cedric
authors.initials: C
authors.lastname: Chauve
mesh_terms: D000465:Algorithms; D002874:Chromosome Mapping / Q000379:methods*; D023281:Genomics / Q000379:methods*; D012091:Repetitive Sequences, Nucleic Acid / Q000235:genetics*; D012984:Software