The theorem of Fine and Wilf for relational periods
Vesa Halava; Tero Harju; Tomi Kärki
RAIRO - Theoretical Informatics and Applications (2008)
- Volume: 43, Issue: 2, page 209-220
- ISSN: 0988-3754
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topHalava, Vesa, Harju, Tero, and Kärki, Tomi. "The theorem of Fine and Wilf for relational periods." RAIRO - Theoretical Informatics and Applications 43.2 (2008): 209-220. <http://eudml.org/doc/92912>.
@article{Halava2008,
abstract = {
We consider relational periods, where the relation is a
compatibility relation on words induced by a relation on letters. We
prove a variant of the theorem of Fine and Wilf for a (pure) period
and a relational period.
},
author = {Halava, Vesa, Harju, Tero, Kärki, Tomi},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Period; partial word; compatibility; Fine; Wilf.; period; Wilf},
language = {eng},
month = {6},
number = {2},
pages = {209-220},
publisher = {EDP Sciences},
title = {The theorem of Fine and Wilf for relational periods},
url = {http://eudml.org/doc/92912},
volume = {43},
year = {2008},
}
TY - JOUR
AU - Halava, Vesa
AU - Harju, Tero
AU - Kärki, Tomi
TI - The theorem of Fine and Wilf for relational periods
JO - RAIRO - Theoretical Informatics and Applications
DA - 2008/6//
PB - EDP Sciences
VL - 43
IS - 2
SP - 209
EP - 220
AB -
We consider relational periods, where the relation is a
compatibility relation on words induced by a relation on letters. We
prove a variant of the theorem of Fine and Wilf for a (pure) period
and a relational period.
LA - eng
KW - Period; partial word; compatibility; Fine; Wilf.; period; Wilf
UR - http://eudml.org/doc/92912
ER -
References
top- J. Berstel and L. Boasson, Partial words and a theorem of Fine and Wilf. Theoret. Comput. Sci.218 (1999) 135–141.
- F. Blanchet-Sadri, A periodicity result of partial words with one hole. Comput. Math. Appl.46 (2003) 813–820.
- F. Blanchet-Sadri, Periodicity on partial words. Comput. Math. Appl.47 (2004) 71–82.
- F. Blanchet-Sadri, Codes, orderings, and partial words. Theoret. Comput. Sci.329 (2004) 177–202.
- F. Blanchet-Sadri and A. Chriscoe, Local periods and binary partial words: an algorithm. Theoret. Comput. Sci.314 (2004) 189–216.
- F. Blanchet-Sadri and S. Duncan, Partial words and the critical factorization theorem. J. Combin. Theory Ser. A109 (2005) 221–245.
- F. Blanchet-Sadri and R.A. Hegstrom, Partial words and a theorem of Fine and Wilf revisited. Theoret. Comput. Sci.270 (2002) 401–419.
- N.J. Fine and H.S. Wilf, Uniqueness theorem for periodic functions. Proc. Amer. Math. Soc.16 (1965) 109–114.
- V. Halava, T. Harju and T. Kärki, Relational codes of words. Theoret. Comput. Sci.389 (2007) 237–249.
- V. Halava, T. Harju and T. Kärki, Defect theorems with compatibility relation. Semigroup Forum76 (2008) 1–24.
- P. Leupold, Partial words for DNA coding. Lect. Notes Comput. Sci.3384 (2005) 224–234.
- A.M. Shur and Y.V. Gamzova, Periods' interaction property for partial words, in Proceedings of Words'03, edited by T. Harju and J. Karhumäki. TUCS General Publication27 (2003) 75–82.
- A.M. Shur and Yu.V. Gamzova, Partial words and the interaction property of periods. Izv. Math.68 (2004) 405–428.
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