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arxiv: 1203.5782 · v1 · pith:FCYKJL6Ynew · submitted 2012-03-26 · 💻 cs.CG · cs.CE· math.AG· q-bio.PE

Skeletal Rigidity of Phylogenetic Trees

classification 💻 cs.CG cs.CEmath.AGq-bio.PE
keywords phylogeneticrigidityspacestreesconstructionculminatingexamplesexplicit
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Motivated by geometric origami and the straight skeleton construction, we outline a map between spaces of phylogenetic trees and spaces of planar polygons. The limitations of this map is studied through explicit examples, culminating in proving a structural rigidity result.

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