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- Title
Unimodular systems of vectors are embeddable in the (0, 1)-cube.
- Authors
Grishukhin, V.; Danilov, V.; Koshevoi, G.
- Abstract
The article offers information on unimodular system which describes a set of vectors, with one of the vectors included in any pair of opposite vectors. It notes the application of unimodular system in various areas including point lattices, discrete convexity, and integral programming. It mentions that all equivalence classes have a unimodular system and (0, 1)-coordinates of the vector represent the system.
- Subjects
VECTOR algebra; LATTICE theory; CONVEX domains; EQUIVALENCE classes (Set theory); COORDINATES
- Publication
Mathematical Notes, 2010, Vol 88, Issue 5/6, p891
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434610110301