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Publication detail
ŠLAPAL, J.
Original Title
Digital Jordan curves and surfaces with respect to a graph connectedness
Type
journal article in Web of Science
Language
English
Original Abstract
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.
Keywords
Simple graph, strong product, path, connectedness, digital space, Jordan curve, Jordan surface
Authors
Released
8. 4. 2023
Publisher
Taylor&Francis
Location
Cape Town
ISBN
1727-933X
Periodical
Quaestiones Mathematicae
Year of study
46
Number
1
State
Republic of South Africa
Pages from
85
Pages to
100
Pages count
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" }