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New 2-critical Sets in the Abelian 2-Group

Carlo Hamalainen1
1Centre for Discrete Mathematics and Computing Department of Mathematics The University of Queensland Queensland 4072, Australia

Abstract

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 intersects an intercalate, a trade of size 4) and complete in a top-down manner.