ISSN:
1432-0444
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s004540010034
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