Detail publikačního výsledku

Digital Jordan curves and surfaces with respect to a graph connectedness

ŠLAPAL, J.

Originální název

Digital Jordan curves and surfaces with respect to a graph connectedness

Anglický název

Digital Jordan curves and surfaces with respect to a graph connectedness

Druh

Článek WoS

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.

Anglický 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

Klíčová slova v angličtině

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

Autoři

ŠLAPAL, J.

Rok RIV

2022

Vydáno

08.04.2023

Nakladatel

Taylor&Francis

Místo

Cape Town

ISSN

1727-933X

Periodikum

Quaestiones Mathematicae

Svazek

46

Číslo

1

Stát

Jihoafrická republika

Strany od

85

Strany do

100

Strany počet

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="1607-3606",
  url="https://www.tandfonline.com/eprint/YCG5ADY3K2UQGMSA7UGR/full?target=10.2989/16073606.2021.2011466"
}