Publication result detail

Polyhedral digital Jordan surfaces

ŠLAPAL, J.

Original Title

Polyhedral digital Jordan surfaces

English Title

Polyhedral digital Jordan surfaces

Type

WoS Article

Original Abstract

A pair of adjacencies in the digital space Z^3 for every positive integer is introduced. The adjacencies are finer than the 6-adjacency and coarser than the 26-adjacency, and the connectedness provided by them for recognition of digital Jordan surfaces is used. The surfaces are defined to be boundary surfaces of the digital polyhedra that can be face-to-face tiled with certain digital cubes, triangular prisms, and tetrahedra.

English abstract

A pair of adjacencies in the digital space Z^3 for every positive integer is introduced. The adjacencies are finer than the 6-adjacency and coarser than the 26-adjacency, and the connectedness provided by them for recognition of digital Jordan surfaces is used. The surfaces are defined to be boundary surfaces of the digital polyhedra that can be face-to-face tiled with certain digital cubes, triangular prisms, and tetrahedra.

Keywords

adjacency; simple graph; connectedness; 3D face-to-face tiling; digital space; digital Jordan surface

Key words in English

adjacency; simple graph; connectedness; 3D face-to-face tiling; digital space; digital Jordan surface

Authors

ŠLAPAL, J.

Released

17.03.2025

Publisher

Shahin Digital Publisher

Location

Pakistán

ISBN

2664-2557

Periodical

Discrete Mathematics Letters

Volume

15

Number

1

State

Islamic Republic of Pakistan

Pages from

46

Pages to

51

Pages count

6

URL

https://www.dmlett.com/archive/v15/DML25_v15_pp46-51.pdf

BibTex

@article{BUT197835,
  author="Josef {Šlapal}",
  title="Polyhedral digital Jordan surfaces",
  journal="Discrete Mathematics Letters",
  year="2025",
  volume="15",
  number="1",
  pages="46--51",
  doi="10.47443/dml.2024.222",
  url="https://www.dmlett.com/archive/v15/DML25_v15_pp46-51.pdf"
}