Publication result detail

Adjacencies for recognition of digital Jordan surfaces

ŠLAPAL, J.

Original Title

Adjacencies for recognition of digital Jordan surfaces

English Title

Adjacencies for recognition of digital Jordan surfaces

Type

WoS Article

Original Abstract

For every positive integer, we introduce an adjacency in the digital space Z^3. Connectedness in the graph obtained is then used to define and study digital Jordan surfaces. The surfaces are acquired as polyhedral surfaces bounding the digital polyhedra that can be face-to-face tiled with digital cubes, triangular prisms, square pyramids, and tetrahedra.

English abstract

For every positive integer, we introduce an adjacency in the digital space Z^3. Connectedness in the graph obtained is then used to define and study digital Jordan surfaces. The surfaces are acquired as polyhedral surfaces bounding the digital polyhedra that can be face-to-face tiled with digital cubes, triangular prisms, square pyramids, and tetrahedra.

Keywords

Adjacency, Simple graph, Connectedness, Face-to-face tiling, Digital space, Digital Jordan surface.

Key words in English

Adjacency, Simple graph, Connectedness, Face-to-face tiling, Digital space, Digital Jordan surface.

Authors

ŠLAPAL, J.

Released

20.05.2025

Publisher

Springer

Location

Basel, Switzerland

ISBN

1420-8903

Periodical

Aequationes Mathematicae

Volume

99

Number

3

State

Swiss Confederation

Pages from

989

Pages to

1001

Pages count

13

URL

https://link.springer.com/article/10.1007/s00010-024-01123-8

BibTex

@article{BUT197947,
  author="Josef {Šlapal}",
  title="Adjacencies for recognition of digital Jordan surfaces",
  journal="Aequationes Mathematicae",
  year="2025",
  volume="99",
  number="3",
  pages="989--1001",
  issn="0001-9054",
  url="https://link.springer.com/article/10.1007/s00010-024-01123-8"
}