Result Details

Polyhedral digital Jordan surfaces

ŠLAPAL, J. Polyhedral digital Jordan surfaces. Discrete Mathematics Letters, 2025, vol. 15, no. 1, p. 46-51. ISSN: 2664-2557.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM DAAG (FME)
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

URL
Published
2025
Pages
46–51
Journal
Discrete Mathematics Letters, vol. 15, no. 1, ISSN 2664-2557
Publisher
Shahin Digital Publisher
Place
Pakistán
DOI
10.47443/dml.2024.222
UT WoS
001447635300004
EID Scopus
2-s2.0-105013153870
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"
}
Departments
Institute of Mathematics (IM)
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