Detail publikace

Galois connections between sets of paths and closure operators in simple graphs

ŠLAPAL, J.

Originální název

Galois connections between sets of paths and closure operators in simple graphs

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

For every positive integer n,we introduce and discuss an isotone Galois connection between the sets of paths of lengths n in a simple graph and the closure operators on the (vertex set of the) graph.We consider certain sets of paths in a particular graph on the digital line Z and study the closure operators associated, in the Galois connection discussed, with these sets of paths. We also focus on the closure operators on the digital plane Z^2 associated with a special product of the sets of paths considered and show that these closure operators may be used as background structures on the plane for the study of digital images.

Klíčová slova

Simple graph, Closure operator, Galois connection, digital space, Khalimsky topology, Jordan curve theorem.

Autoři

ŠLAPAL, J.

Vydáno

31. 12. 2018

ISSN

2391-5455

Periodikum

Open Mathematics

Ročník

16

Číslo

1

Stát

Polská republika

Strany od

1573

Strany do

1581

Strany počet

9

URL

https://www.degruyter.com/downloadpdf/j/math.2018.16.issue-1/math-2018-0128/math-2018-0128.pdf

BibTex

@article{BUT155612,
  author="Josef {Šlapal}",
  title="Galois connections between sets of paths and closure operators in simple graphs",
  journal="Open Mathematics",
  year="2018",
  volume="16",
  number="1",
  pages="1573--1581",
  doi="10.1515/math-2018-0128",
  issn="2391-5455",
  url="https://www.degruyter.com/downloadpdf/j/math.2018.16.issue-1/math-2018-0128/math-2018-0128.pdf"
}