A change-of-coordinates from Geometry to Algebra, applied to Brick Tilings
| dc.creator | King, Jonathan L. | |
| dc.date | 1998-09-29 | |
| dc.date.accessioned | 2026-07-07T05:26:13Z | |
| dc.date.available | 2026-07-07T05:26:13Z | |
| dc.description | A proof is sketched of the Polynomial Conjecture of the author (circulated as preprint "Brick Tiling and Monotone Boolean Functions", available at the http://www.math.ufl.edu/~squash/tilingstuff.html url) which says that the family of minimal tilable-boxes grows polynomially with dimension. An important ingredient of the argument is translating the problem from its finite-dimensional geometric framework to the algebraic setting of an infinite-dimensional lattice. | |
| dc.description | 18 pages, 3 figures. Will appear in the proceedings of the First International Conference on Semigroups & Algebraic Engineering, held in Aizu-Wakamatsu City, Japan, in March 1997 | |
| dc.identifier | https://arxiv.org/abs/math/9809176 | |
| dc.identifier | http://arxiv.org/abs/math/9809176 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77466 | |
| dc.subject | Combinatorics | |
| dc.subject | 05B45 | |
| dc.title | A change-of-coordinates from Geometry to Algebra, applied to Brick Tilings | |
| dc.type | text |