Phylogenetic clocks

dc.contributor.authorSemple, C.
dc.contributor.authorSteel, M. A.
dc.date.accessioned2016-03-10T20:30:10Z
dc.date.available2016-03-10T20:30:10Z
dc.date.issued2004en
dc.description.abstractGraphs obtained from a binary leaf labelled ('phylogenetic') tree by adding an edge so as to introduce a cycle provide a useful representation of hybrid evolution in biology. This class of graphs (which we call 'phylogenetic clocks') also has some attractive combinatorial properties, which we present. We characterize when a set of binary phylogenetic trees is displayed by a phylogenetic clock in terms of tree rearrangement operations. This leads to a triple-wise compatibility theorem, and a simple, fast algorithm to determine clock compatibility. We also use generating function techniques to provide closed-form expressions that enumerate phylogenetic clocks with specified or unspecified cycle length.en
dc.identifier.issn1172-8531
dc.identifier.urihttp://hdl.handle.net/10092/11879
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.titlePhylogenetic clocksen
dc.typeDiscussion / Working Papers
uc.collegeFaculty of Engineering
uc.departmentSchool of Engineeringen
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