Naslov
Single Delaunay in lattice

Autori
Dutour Sikirić, Mathieu

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni

Izvornik
Seminar of computational homology and applications, National university of Ireland, Galway / - , 2007

Skup
Seminar of computational homology and applications, National university of Ireland, Galway

Mjesto i datum
Galway, Irska, 15.10.2007

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Delaunay polytope; hypermetric; adjacency method

Sažetak
We have seen in the preceding presentations the notion of Delaunay polytope in a lattice L=3DZ v1+...+Zvn. Then we have seen the L-types, which are roughly speaking a parameter space of the possible Delaunay tessellation of a lattice L. We are now considering what can be said what can be the parameter space of one simplex in a lattice, i.e. disregarding the other Delaunay polytopes. The corresponding parameter space is named the hypermetric cone and it is closely related to the cut cone occurring in combinatorial optimization. A striking fact is that there exist in dimension 6 and 7 some Delaunay polytopes, which are rigid, i.e. there is only one quadratic form having it as Delaunay. The enumeration problem for those rigid Delaunay polytopes will be considered with a recent new algorithm.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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