Affine Maps That Induce Polyhedral Complex Isomorphisms

Dress A, Huber KT, Moulton V (2000)
Discrete & Computational Geometry 24(1): 49-60.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Dress, AndreasUniBi; Huber, Katharina T.; Moulton, Vincent
Abstract / Bemerkung
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.
Erscheinungsjahr
2000
Zeitschriftentitel
Discrete & Computational Geometry
Band
24
Ausgabe
1
Seite(n)
49-60
ISSN
0179-5376
Page URI
https://pub.uni-bielefeld.de/record/1619808

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Dress A, Huber KT, Moulton V. Affine Maps That Induce Polyhedral Complex Isomorphisms. Discrete & Computational Geometry . 2000;24(1):49-60.
Dress, A., Huber, K. T., & Moulton, V. (2000). Affine Maps That Induce Polyhedral Complex Isomorphisms. Discrete & Computational Geometry , 24(1), 49-60. https://doi.org/10.1007/s004540010034
Dress, A., Huber, K. T., and Moulton, V. (2000). Affine Maps That Induce Polyhedral Complex Isomorphisms. Discrete & Computational Geometry 24, 49-60.
Dress, A., Huber, K.T., & Moulton, V., 2000. Affine Maps That Induce Polyhedral Complex Isomorphisms. Discrete & Computational Geometry , 24(1), p 49-60.
A. Dress, K.T. Huber, and V. Moulton, “Affine Maps That Induce Polyhedral Complex Isomorphisms”, Discrete & Computational Geometry , vol. 24, 2000, pp. 49-60.
Dress, A., Huber, K.T., Moulton, V.: Affine Maps That Induce Polyhedral Complex Isomorphisms. Discrete & Computational Geometry . 24, 49-60 (2000).
Dress, Andreas, Huber, Katharina T., and Moulton, Vincent. “Affine Maps That Induce Polyhedral Complex Isomorphisms”. Discrete & Computational Geometry 24.1 (2000): 49-60.

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