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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.

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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