Schläfli numbers and reduction formula
- Zehrt, Thomas Département de mathématiques, Université de Fribourg, Suisse
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24.05.2007
Published in:
- European Journal of Combinatorics. - 2008, vol. 29, no. 3, p. 601-616
English
We define so-called poset-polynomials of a graded poset and use it to give an explicit and general description of the combinatorial numbers in Schläfli’s (combinatorial) reduction formula. For simplicial and simple polytopes these combinatorial numbers can be written as functions of the numbers of faces of the polytope and the tangent numbers. We use the constructed formulas to determine the volume of 4-dimensional Coxeter polytopes.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 9559
- DOI 10.1016/j.ejc.2007.05.002
- Persistent URL
- https://folia.unifr.ch/unifr/documents/300779
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