Paper Info
Title
A new bound on the size of the largest 2-critical set in a latin square
Abstract
A critical set is a partial latin square that has a unique completion to a latin square of the same order, and is minimal in this property. If P is a critical set in a latin square L ,t hen each element ofP must be contained in a latin trade Q in L such that |P ∩ Q| = 1. In the case where each element of P is contained in an intercalate (latin trade of size 4) Q such that |P ∩Q| =1 we say thatP is 2-critical. In this paper we show that the size of a 2-critical set in a latin square L is no greater than n2 − O(n5/4).
Year
Venue
Field
2002
Australasian J. Combinatorics
Discrete mathematics,Combinatorics,Latin square,Mathematics
DocType
Volume
Citations 
Journal
26
0
PageRank 
References 
Authors
0.34
5
1
Name
Order
Citations
PageRank
Nicholas J. Cavenagh19220.89