Title
On the number of transversals in a class of Latin squares.
Abstract
Denote by Apk the Latin square of order n=pk formed by the Cayley table of the additive group (Zpk,+), where p is an odd prime and k is a positive integer. It is shown that for each p there exists Q>0 such that for all sufficiently large k, the number of transversals in Apk exceeds (nQ)np(p−1).
Year
DOI
Venue
2018
10.1016/j.dam.2017.08.021
Discrete Applied Mathematics
Keywords
Field
DocType
Latin square,Transversal
Integer,Prime (order theory),Discrete mathematics,Combinatorics,Cayley table,Latin square,Transversal (geometry),Mathematics,Additive group
Journal
Volume
ISSN
Citations 
235
0166-218X
0
PageRank 
References 
Authors
0.34
3
2
Name
Order
Citations
PageRank
Diane M. Donovan162.93
Mike J. Grannell24011.20