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Detail publikace
ŠLAPAL, J.
Originální název
Digital Jordan curves and surfaces with respect to a graph connectedness
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
We introduce 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 two and three copies of the graph is used to define digital Jordan curves and digital Jordan surfaces, respectively. Such definitions build on an edge-to-edge tiling with triangles in the digital plane and a face-to-face tiling by cubes, prisms and pyramids in the (3D) digital space, respectively.
Klíčová slova
Simple graph, strong product, path, connectedness, digital space, Jordan curve, Jordan surface
Autoři
Vydáno
8. 4. 2023
Nakladatel
Taylor&Francis
Místo
Cape Town
ISSN
1727-933X
Periodikum
Quaestiones Mathematicae
Ročník
46
Číslo
1
Stát
Jihoafrická republika
Strany od
85
Strany do
100
Strany počet
16
URL
https://www.tandfonline.com/eprint/YCG5ADY3K2UQGMSA7UGR/full?target=10.2989/16073606.2021.2011466
BibTex
@article{BUT175987, author="Josef {Šlapal}", title="Digital Jordan curves and surfaces with respect to a graph connectedness", journal="Quaestiones Mathematicae", year="2023", volume="46", number="1", pages="85--100", doi="10.2989/16073606.2021.2011466", issn="1727-933X", url="https://www.tandfonline.com/eprint/YCG5ADY3K2UQGMSA7UGR/full?target=10.2989/16073606.2021.2011466" }