Tree reconstruction via a closure operation on partial splits

dc.contributor.authorSemple, Charles
dc.contributor.authorSteel, M. A.
dc.date.accessioned2016-08-28T23:52:15Z
dc.date.available2016-08-28T23:52:15Z
dc.date.issued1999en
dc.description.abstractA fundamental problem in biological classification is the reconstruction of phylogenetic trees for a set X of species from a collection of either subtrees or qualitative characters. This task is equivalent to tree reconstruction from a set of partial X-splits (bipartitions of subsets of X). In this paper, we define and analyse a "closure" operation for partial X-splits that was informally proposed by Meacham [5]. In particular, we establish a sufficient condition for such an operation to reconstruct a tree when there is essentially only one tree that displays the partial X-splits. This result exploits a recent combinatorial result from [2].en
dc.identifier.issn1172-8531
dc.identifier.urihttp://hdl.handle.net/10092/12628
dc.language.isoen
dc.publisherUniversity of Canterburyen
dc.rightsAll Rights Reserveden
dc.rights.urihttps://canterbury.libguides.com/rights/theses
dc.subject.anzsrcFields of Research::49 - Mathematical sciences::4901 - Applied mathematics::490102 - Biological mathematicsen
dc.titleTree reconstruction via a closure operation on partial splitsen
dc.typeDiscussion / Working Papers
uc.collegeFaculty of Engineering
uc.departmentSchool of Engineeringen
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