## Abstract It is shown that a critical set in a Latin square of order __n__โฅ8 has to have at least $\left \lfloor {4n-8}\over {3}\right\rfloor$ elements. ยฉ 2002 Wiley Periodicals, Inc. J Combin Designs 10: 419โ432, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1
Critical Sets in Latin Squares: An Intriguing Problem
โ Scribed by Keedwell, A. Donald
- Book ID
- 126875102
- Publisher
- The Mathematical Association
- Year
- 2001
- Tongue
- English
- Weight
- 215 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0025-5572
- DOI
- 10.2307/3622009
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract It is shown that each critical set in a Latin square of order __n__โ>โ6 has to have at least $\left\lfloor {7n-\sqrt{n}-20}\over{2}\right\rfloor$ empty cells. ยฉ 2006 Wiley Periodicals, Inc. J Combin Designs 15: 77โ83, 2007
A critical set C of order n is a partial latin square of order n which is uniquely completable to a latin square, and omitting any entry of the partial latin square destroys this property. The size s(C) of a critical set C is the number of filled cells in the partial latin square. The I size of a mi
## Abstract Suppose that __L__ is a latin square of order __m__ and __P__โโโ__L__ is a partial latin square. If __L__ is the only latin square of order __m__ which contains __P__, and no proper subset of __P__ has this property, then __P__ is a __critical set__ of __L__. The critical set spectrum p