Detail publikace

Path-set induced closure operators on graphs

ŠLAPAL, J.

Originální název

Path-set induced closure operators on graphs

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

Given a simple graph, we associate with every set of paths of the same positive length a closure operator on the (vertex set of the) graph. These closure operators are then studied. In particular, it is shown that the connectedness with respect to them is a certain kind of path connectedness. Closure operators associated with sets of paths in some graphs with the vertex set Z^2 are discussed which include the well known Marcus-Wyse and Khalimsky topologies used in digital topology.

Klíčová slova

Simple graph, path, closure operator, connectedness, Marcus-Wyse and Khalimsky topologies

Autoři

ŠLAPAL, J.

Vydáno

29. 4. 2016

Místo

University on Nis, Serbia

ISSN

0354-5180

Periodikum

FILOMAT

Ročník

30

Číslo

3

Stát

Srbská republika

Strany od

863

Strany do

871

Strany počet

9

URL

https://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/3285

BibTex

@article{BUT116976,
  author="Josef {Šlapal}",
  title="Path-set induced closure operators on graphs",
  journal="FILOMAT",
  year="2016",
  volume="30",
  number="3",
  pages="863--871",
  doi="10.2298/FIL1603863S",
  issn="0354-5180",
  url="https://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/3285"
}