|
This article is cited in 3 scientific papers (total in 3 papers)
A Method of Deducing $L$-Polyhedra for $n$-Lattices
E. P. Baranovskii, P. G. Kononenko Ivanovo State University
Abstract:
We suggest a method for selecting an $L$-simplex in an $L$-polyhedron of an $n$-lattice in Euclidean space. By taking into account the specific form of the condition that a simplex in the lattice is an $L$-simplex and by considering a simplex selected from an $L$-polyhedron, we present a new method for describing all types of $L$-polyhedra in lattices of given dimension $n$. We apply the method to deduce all types of $L$-polyhedra in $n$-dimensional lattices for $n=2,3,4$, which are already known from previous results.
Received: 16.04.1998
Citation:
E. P. Baranovskii, P. G. Kononenko, “A Method of Deducing $L$-Polyhedra for $n$-Lattices”, Mat. Zametki, 68:6 (2000), 830–841; Math. Notes, 68:6 (2000), 704–712
Linking options:
https://www.mathnet.ru/eng/mzm1005https://doi.org/10.4213/mzm1005 https://www.mathnet.ru/eng/mzm/v68/i6/p830
|
Statistics & downloads: |
Abstract page: | 351 | Full-text PDF : | 188 | References: | 54 | First page: | 1 |
|