Algebraic Characterization of Dendricity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F25%3A00383253" target="_blank" >RIV/68407700:21240/25:00383253 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.37236/13326" target="_blank" >https://doi.org/10.37236/13326</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.37236/13326" target="_blank" >10.37236/13326</a>
Alternative languages
Result language
angličtina
Original language name
Algebraic Characterization of Dendricity
Original language description
Dendric shift spaces simultaneously generalize co dings of regular interval exchanges and episturmian shift spaces, themselves both generalizations of Sturmian words. One of the key properties enforced by dendricity is the Return Theorem. In this paper, we prove its converse, providing the following natural algebraic perspective on dendricity: A minimal shift space is dendric if and only if every set of return words is a basis of the free group over the alphabet.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
The Electronic Journal of Combinatorics
ISSN
1077-8926
e-ISSN
1077-8926
Volume of the periodical
32
Issue of the periodical within the volume
1
Country of publishing house
AU - AUSTRALIA
Number of pages
8
Pages from-to
1-8
UT code for WoS article
001456717700001
EID of the result in the Scopus database
2-s2.0-105001680462