Result Details
A digital Jordan surface theorem with respect to a graph connectedness
ŠLAPAL, J. A digital Jordan surface theorem with respect to a graph connectedness. Open Mathematics, 2023, vol. 21, no. 1, p. 1-9. ISSN: 2391-5455.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM DAAG (FME)
Abstract
After introducing a graph connectedness induced by a given set of paths of the same length, we focus on the 2-adjacency graph on the digital line Z with a certain set of paths of length n for every positive integer n . The connectedness in the strong product of three copies of the graph is used to define digital Jordan surfaces. These are obtained as polyhedral surfaces bounding the polyhedra that can be face-to-face tiled with digital tetrahedra.
Keywords
simple graph, strong product, path, connectedness, digital space, Jordan surface; MSC 2020: 52C22, 68R10
URL
Published
2023
Pages
1–9
Journal
Open Mathematics, vol. 21, no. 1, ISSN 2391-5455
Publisher
De Gruyter
Place
Poland
DOI
UT WoS
001137180300001
EID Scopus
BibTeX
@article{BUT186967,
author="Josef {Šlapal}",
title="A digital Jordan surface theorem with respect to a graph connectedness",
journal="Open Mathematics",
year="2023",
volume="21",
number="1",
pages="1--9",
doi="10.1515/math-2023-0172",
issn="2391-5455",
url="https://www.degruyter.com/document/doi/10.1515/math-2023-0172/html"
}
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