4 citations · 5 across the 4 of their papers we have counts for
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Transitive latin bitrades
Carlo Hamalainen, Nicholas J. Cavenagh
In this note we give two results. First, if a latin bitrade is primary, thin, separated, and the autotopism group of acts regularly on , then m…
On completing three cyclic transversals to a latin square
Nicholas J. Cavenagh, Carlo Hamalainen, Adrian M. Nelson
Let be a partial latin square of prime order consisting of three cyclically generated transversals. Specifically, let be a partial latin square of the form: \[ P=\{(i…
Partitioning 3-homogeneous latin bitrades
Carlo Hamalainen
A latin bitrade is a pair of partial latin squares which defines the difference between two arbitrary latin squares $L^{\diamond} \supseteq T^{\diamon…
New 2--critical sets in the abelian 2--group
Carlo Hamalainen
In this paper we determine a class of critical sets in the abelian {2--group} that may be obtained from a greedy algorithm. These new critical sets are all 2--critical (each entry…