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A Gray Code for cross-bifix-free sets

Published 19 Jan 2014 in cs.IT, cs.DM, math.CO, and math.IT | (1401.4650v1)

Abstract: A cross-bifix-free set of words is a set in which no prefix of any length of any word is the suffix of any other word in the set. A construction of cross-bifix-free sets has recently been proposed by Chee {\it et al.} in 2013 within a constant factor of optimality. We propose a \emph{trace partitioned} Gray code for these cross-bifix-free sets and a CAT algorithm generating it.

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