Publication detail

Digital Jordan curves and surfaces with respect to a graph connectedness

ŠLAPAL, J.

English title

Digital Jordan curves and surfaces with respect to a graph connectedness

Type

WoS Article

Language

en

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 in English

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

Released

2023-04-08

Publisher

Taylor&Francis

Location

Cape Town

ISSN

1727-933X

Volume

46

Number

1

Pages from–to

85–100

Pages count

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"
}