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
β¦ LIBER β¦
On even and odd latin squares
β Scribed by Jeannette C.M Janssen
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 378 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
On the Number of Even and Odd Latin Squa
β
Arthur A Drisko
π
Article
π
1997
π
Elsevier Science
π
English
β 358 KB
Latin squares with no small odd plexes
β
Judith Egan; Ian M. Wanless
π
Article
π
2008
π
John Wiley and Sons
π
English
β 242 KB
## Abstract A __k__βplex in a Latin square of order __n__ is a selection of __kn__ entries in which each row, column, and symbol is represented precisely __k__ times. A transversal of a Latin square corresponds to the case __k__β=β1. We show that for all even __n__β>β2 there exists a Latin square o
Signs on Latin Squares
β
A. Marini; G. Pirillo
π
Article
π
1994
π
Elsevier Science
π
English
β 508 KB
On orthogonal latin squares
β
C.F Woodcock
π
Article
π
1986
π
Elsevier Science
π
English
β 115 KB
Signs on Group Latin Squares
β
Alberto Marini; Giuseppe Pirillo
π
Article
π
1996
π
Elsevier Science
π
English
β 124 KB
A simple expression for triples of signs of group Latin squares is given; in particular we prove that it depends only on the order.
On transversals in latin squares
β
K. Balasubramanian
π
Article
π
1990
π
Elsevier Science
π
English
β 269 KB