Publication detail

Digital Jordan curves and surfaces with respect to a graph connectedness

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

ŠLAPAL, J.

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"
}