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- W2023880198 abstract "Let C ⊆ Rn be a pointed cone generated by rational vectors. A subset H of integral vectors in C is said to be a Hilbert basis for C if all integer vectors in C can be expressed as nonnegative integer combinations of vectors in H. A tessellation of C is a partition of C into unimodular subcones whose generators are from H. The existence of such a tessellation has consequences similar to Carathéodory's theorem in linear algebra. It is an open question whether such a tessellation exists for all C. In this paper we show that tessellation (or its generalization) exists for cones generated by circulant matrices, Q6, and Qt6." @default.
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- W2023880198 date "1996-09-01" @default.
- W2023880198 modified "2023-10-16" @default.
- W2023880198 title "Tessellation and g-tessellation of circulants, Q6, and Qt6" @default.
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- W2023880198 doi "https://doi.org/10.1016/0024-3795(94)00239-8" @default.
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