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A Gray code for cross-bifix-free sets

Published online by Cambridge University Press:  11 May 2015

ANTONIO BERNINI ,
STEFANO BILOTTA ,
RENZO PINZANI  and
VINCENT VAJNOVSZKI
ANTONIO BERNINI
Affiliation:
Dipartimento di Matematica e Informatica ‘U. Dini,’ Università degli Studi di Firenze, Viale G.B. Morgagni 65, 50134 Florence, Italy Email: antonio.bernini@unifi.it, stefano.bilotta@unifi.it, renzo.pinzani@unifi.it
STEFANO BILOTTA
Affiliation:
Dipartimento di Matematica e Informatica ‘U. Dini,’ Università degli Studi di Firenze, Viale G.B. Morgagni 65, 50134 Florence, Italy Email: antonio.bernini@unifi.it, stefano.bilotta@unifi.it, renzo.pinzani@unifi.it
RENZO PINZANI
Affiliation:
Dipartimento di Matematica e Informatica ‘U. Dini,’ Università degli Studi di Firenze, Viale G.B. Morgagni 65, 50134 Florence, Italy Email: antonio.bernini@unifi.it, stefano.bilotta@unifi.it, renzo.pinzani@unifi.it
VINCENT VAJNOVSZKI
Affiliation:
LE2I, Université de Bourgogne, BP 47 870, 21078 Dijon Cedex, France Email: vvajnov@u-bourgogne.fr
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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 in Chee et al. (2013) within a constant factor of optimality. We propose a Gray code for these cross-bifix-free sets and a CAT algorithm generating it. Our Gray code list is trace partitioned, that is, words with zero in the same positions are consecutive in the list.

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Type
Paper
Information
Mathematical Structures in Computer Science , Volume 27 , Special Issue 2: Special Issue: XIV ICTCS , February 2017 , pp. 184 - 196
Copyright
Copyright © Cambridge University Press 2015 

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