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Unavoidable Set: Extension and Reduction

Published online by Cambridge University Press:  15 August 2002

Phan Trung Huy  and
Nguyen Huong Lam
Phan Trung Huy
Affiliation:
Department of Applied Mathematics, Hanoi Institute of Technology, 1 Dai Co Viet, Hanoi, Vietnam.
Nguyen Huong Lam
Affiliation:
Hanoi Institute of Mathematics, P.O. Box 631, Bo Ho, 10 000 Hanoi, Vietnam; nhlam@thevinh.ac.vn.
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Abstract

We give an explicit criterion for unavoidability of word sets. We characterize extendible, finitely and infinitely as well, elements in them. We furnish a reasonable upper bound and an exponential lower bound on the maximum leghth of words in a reduced unavoidable set of a given cardinality.

Keywords

Unavoidable setreduced unavoidable setextensionreduction.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 33 , Issue 3 , May 1999 , pp. 213 - 225
Copyright
© EDP Sciences, 1999

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References

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Choffrut, Ch. and Culik, K. II, On Extendibility of Unavoidable Sets. Discrete Appl. Math. 9 (1984) 125-137. CrossRef
L. Rosaz, Inventories of Unavoidable Languages and the Word-Extension Conjecture, to appear.