Title
On The Spectrum Of Critical Sets In Back Circulant Latin Squares
Abstract
In this paper we prove there exists a strong critical set of size m in the back circulant latin square of order n for all n(2)-1/4 <= m <= n(2)-n/2, when n is odd. Moreover, when n is even 2 we prove that there exists a strong critical set of size m in the back circulant latin square of order n for all n(2)-n/2 - (n - 2) <= m <= n(2)-2/2 and m is an element of {n(2)/4, n(2)/4 + 2, n(2)/4 +4, ..., n(2)-n/2 - n}.
Year
Venue
Keywords
2007
ARS COMBINATORIA
spectrum,latin square,mathematics
Field
DocType
Volume
Discrete mathematics,Combinatorics,Latin square,Circulant matrix,Mathematics
Journal
82
ISSN
Citations 
PageRank 
0381-7032
1
0.42
References 
Authors
0
3
Name
Order
Citations
PageRank
Nicholas J. Cavenagh19220.89
Diane Donovan27233.88
Abdollah Khodkar33919.03