Pregled bibliografske jedinice broj: 483583
Delaunay polytopes in lattices
Delaunay polytopes in lattices // ISM symposium, Statistics combinatorics and geometry, The Institute of Statistical Mathematics
Tokyo, Japan, 2003. (plenarno, međunarodna recenzija, pp prezentacija, znanstveni)
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Naslov
Delaunay polytopes in lattices
Autori
Dutour Sikirić, Mathieu
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni
Izvornik
ISM symposium, Statistics combinatorics and geometry, The Institute of Statistical Mathematics
/ - , 2003
Skup
ISM symposium, Statistics combinatorics and geometry, The Institute of Statistical Mathematics
Mjesto i datum
Tokyo, Japan, 20.03.2003. - 22.03.2003
Vrsta sudjelovanja
Plenarno
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Delaunay polytopes; hypermetrics; enumeration
Sažetak
Given a lattice L, a polytope P is called a Delaunay polytope if the set of its vertices is S inter L with S being an empty sphere of the lattice. Extending our previous work on the hypermetric cone HYP7, we classify the six- dimensional Delaunay polytopes according to their combinatorial type. The list of 6241 combinatorial types is obtained by a study of the set of faces of the polyhedral cone HYP7.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
