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On universal partial words [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
A universal word for a finite alphabet $A$ and some integer $n\geq 1$ is a word over $A$ such that every word in $A^n$ appears exactly once as a subword (cyclically or linearly).
Herman Z. Q. Chen   +3 more
doaj   +11 more sources

Freeness of partial words

open access: yesTheoretical Computer Science, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Florin Manea, Robert Mercaş
exaly   +4 more sources

Squares in partial words

open access: yesTheoretical Computer Science, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F Blanchet-Sadri, J D Quigley
exaly   +4 more sources

Primitive partial words

open access: yesDiscrete Applied Mathematics, 2005
Primitive words, or strings over a finite alphabet that cannot be written as a power of another string, play an important role in formal language theory, coding theory, and combinatorics on words to name a few.
F Blanchet-Sadri
exaly   +3 more sources

Abelian-primitive partial words

open access: yesTheoretical Computer Science, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F Blanchet-Sadri, Nathan Fox
exaly   +3 more sources

The hardness of counting full words compatible with partial words

open access: yesJournal of Computer and System Sciences, 2013
AbstractWe present several problems regarding counting full words compatible with a set of partial words or with the factors of a partial word, and show that they are #P-complete. Some of these counting problems have NP-complete decision counterparts to which a hard variant of CNF-SAT is reduced parsimoniously; the rest are #P-complete problems that ...
Florin Manea
exaly   +4 more sources

Avoiding abelian squares in partial words

open access: yesJournal of Combinatorial Theory - Series A, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F Blanchet-Sadri   +2 more
exaly   +3 more sources

On Periodicity Lemma for Partial Words [PDF]

open access: yesInformation and Computation, 2018
We investigate the function $L(h,p,q)$, called here the threshold function, related to periodicity of partial words (words with holes). The value $L(h,p,q)$ is defined as the minimum length threshold which guarantees that a natural extension of the ...
Tomasz Kociumaka   +3 more
semanticscholar   +5 more sources

On universal partial words for word-patterns and set partitions [PDF]

open access: yesRAIRO - Theoretical Informatics and Applications, 2020
Universal words are words containing exactly once each element from a given set of combinatorial structures admitting encoding by words. Universal partial words (u-p-words) contain, in addition to the letters from the alphabet in question, any number of ...
Herman Z. Q. Chen, S. Kitaev
semanticscholar   +4 more sources

Periods in Partial Words: An Algorithm [PDF]

open access: yesJournal of Discrete Algorithms, 2011
Partial words are finite sequences over a finite alphabet that may contain some holes. A variant of the celebrated Fine-Wilf theorem shows the existence of a bound L=L(h,p,q) such that if a partial word of length at least L with h holes has periods p and
F. Blanchet-Sadri   +2 more
semanticscholar   +2 more sources

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