Detail výsledku

Digital Jordan curves and surfaces with respect to a graph connectedness

ŠLAPAL, J. Digital Jordan curves and surfaces with respect to a graph connectedness. Quaestiones Mathematicae, 2023, vol. 46, no. 1, p. 85-100. ISSN: 1727-933X.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM OAAG (FSI)
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

URL
Rok
2023
Strany
85–100
Časopis
Quaestiones Mathematicae, roč. 46, č. 1, ISSN 1727-933X
Vydavatel
Taylor&Francis
Místo
Cape Town
DOI
10.2989/16073606.2021.2011466
UT WoS
000742468700001
EID Scopus
2-s2.0-85122866265
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="1607-3606",
  url="https://www.tandfonline.com/eprint/YCG5ADY3K2UQGMSA7UGR/full?target=10.2989/16073606.2021.2011466"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru