A Jordan curve theorem in the digital plane
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F11%3APU91568" target="_blank" >RIV/00216305:26210/11:PU91568 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
čeština
Original language name
A Jordan curve theorem in the digital plane
Original language description
We study a certain Alexandroff topology on $mathbb Z^2$ and some of its quotient topologies including the Khalimsky one. By proving an analogue of the Jordan curve theorem for this topology we show that it provides a large variety of digital Jordan curves. Some consequences of this result are discussed, too.
Czech name
A Jordan curve theorem in the digital plane
Czech description
We study a certain Alexandroff topology on $mathbb Z^2$ and some of its quotient topologies including the Khalimsky one. By proving an analogue of the Jordan curve theorem for this topology we show that it provides a large variety of digital Jordan curves. Some consequences of this result are discussed, too.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Lecture Notes in Computer Science (IF 0,513)
ISSN
0302-9743
e-ISSN
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Volume of the periodical
6636
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
12
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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