The Coin Exchange Problem and the Structure of Cube Tilings
| dc.creator | Kisielewicz, Andrzej P. | |
| dc.creator | Przesławski, Krzysztof | |
| dc.date | 2008-07-06 | |
| dc.date.accessioned | 2026-07-07T09:48:43Z | |
| dc.date.available | 2026-07-07T09:48:43Z | |
| dc.description | Let k_1,...,k_d be positive integers, and D be a subset of [k_1]x...x[k_d], whose complement can be decomposed into disjoint sets of the form {x_1}x...x{x_{s-1}}x[k_s]x{x_{s+1}}x...x{x_d}. We conjecture that the number of elements of D can be represented as a linear combination of the numbers k_1,..., k_d with non-negative integer coefficients. A connexion of this conjecture with the structure of periodical cube tilings is revealed. | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/0807.0891 | |
| dc.identifier | http://arxiv.org/abs/0807.0891 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164319 | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.subject | 05A18, 52C22, 05B45, 11H99 | |
| dc.title | The Coin Exchange Problem and the Structure of Cube Tilings | |
| dc.type | text |