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  • Dress, A., et al. (author)
  • Affine maps that induce polyhedral complex isomorphisms
  • 2000
  • In: Discrete & Computational Geometry. - 0179-5376 .- 1432-0444. ; 24:1, s. 49-60
  • Journal article (peer-reviewed)abstract
    • In this paper we show that an affine bijection f: T-1 --> T-2 between two polyhedral complexes T-1, T-2, both of which consist of a union of faces of two convex polyhedra P-1 and P-2, necessarily respects the cell-complex structure of T-1 and T-2 inherited from P-1 and P-2, respectively, provided f extends to an affine map from P-1 into P-2. In addition, we present an application of this result within the area of T-theory to obtain a far-reaching generalization of previous results regarding the equivalence of two distinct constructions of the phylogenetic tree associated to "perfect" (that is, treelike) distance data.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Moulton, Vincent (1)
Huber, K. T. (1)
Dress, A (1)
University
Mid Sweden University (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2000 (1)

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