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- W2743300713 abstract "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." @default.
- W2743300713 created "2017-08-17" @default.
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- W2743300713 date "2007-10-15" @default.
- W2743300713 modified "2023-09-27" @default.
- W2743300713 title "Single Delaunay in lattice" @default.
- W2743300713 hasPublicationYear "2007" @default.
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