On completing three cyclic transversals to a latin square
| dc.creator | Cavenagh, Nicholas J. | |
| dc.creator | Hamalainen, Carlo | |
| dc.creator | Nelson, Adrian M. | |
| dc.date | 2007-12-03 | |
| dc.date.accessioned | 2026-07-07T08:46:52Z | |
| dc.date.available | 2026-07-07T08:46:52Z | |
| dc.description | Let $P$ be a partial latin square of prime order $p>7$ consisting of three cyclically generated transversals. Specifically, let $P$ be a partial latin square of the form: \[ P=\{(i,c+i,s+i),(i,c'+i,s'+i),(i,c''+i,s''+i)\mid 0 \leq i< p\} \] for some distinct $c,c',c''$ and some distinct $s,s',s''$. In this paper we show that any such $P$ completes to a latin square which is diagonally cyclic. | |
| dc.description | 13 pages, SAGE source code | |
| dc.identifier | https://arxiv.org/abs/0712.0233 | |
| dc.identifier | http://arxiv.org/abs/0712.0233 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143400 | |
| dc.subject | Combinatorics | |
| dc.subject | 05B15 | |
| dc.title | On completing three cyclic transversals to a latin square | |
| dc.type | text |