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Affine maps that in...
Affine maps that induce polyhedral complex isomorphisms
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Dress, A. (författare)
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Huber, K. T. (författare)
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- Moulton, Vincent (författare)
- Mittuniversitetet,Institutionen för teknik, fysik och matematik (-2008)
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(creator_code:org_t)
- 2000
- 2000
- Engelska.
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Ingår i: Discrete & Computational Geometry. - 0179-5376 .- 1432-0444. ; 24:1, s. 49-60
- Relaterad länk:
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https://urn.kb.se/re...
Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- split decomposition
- combinatorial
- MATHEMATICS
- MATEMATIK
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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