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
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"
}