Signs on Group Latin Squares
โ Scribed by Alberto Marini; Giuseppe Pirillo
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 124 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
โฆ Synopsis
A simple expression for triples of signs of group Latin squares is given; in particular we prove that it depends only on the order.
๐ SIMILAR VOLUMES
Robustness in the various analysis of variance models should be assessed with regard to all the assumptions. Here we assess the etTect of the continuity assumption. The models considered were chosen because they are in a sense fragile, and the elTects might be anticipated to be more dramatic here. W
It is shown that given an odd prime p, the number of even latin squares of order p+1 is not equal to the number of odd latin squares of order p+1. This result is a special case of a conjecture of Alon and Tarsi and has implications for various other combinatorial problems, including conjectures of R
## 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