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On the range of influences in back-circulant Latin squares
Authors:Abdollah Khodkar  Warwick de Launey
Institution:a Department of Mathematics, Centre for Discrete Mathematics and Computing, The University of Queensland, Qld. 4072, Australia
b Center for Communications Research, 4320 Westerra Court, San Diego, CA 92121-1969, USA
Abstract:In this note we obtain a large lower bound for the index of a certain critical set in the back-circulant Latin squares of odd order. This resolves in the negative a conjecture of Fitina, Seberry and Chaudhry Back-circulant Latin square and the influence of a set, Austral. J. Combin. 20 (1999) 163-180].
Keywords:Latin square  Back-circulant Latin square  Index of critical set
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