Detail publikace

Digital Jordan curves and surfaces with respect to a graph connectedness

ŠLAPAL, J.

Anglický název

Digital Jordan curves and surfaces with respect to a graph connectedness

Typ

Článek WoS

Jazyk

en

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 anglicky

Simple graph, strong product, path, connectedness, digital space, Jordan curve, Jordan surface

Vydáno

2023-04-08

Nakladatel

Taylor&Francis

Místo

Cape Town

ISSN

1727-933X

Ročník

46

Číslo

1

Strany od–do

85–100

Počet stran

16

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"
}