Detail publikačního výsledku

Closure operators on graphs for modeling connectedness in digital spaces

ŠLAPAL, J.

Originální název

Closure operators on graphs for modeling connectedness in digital spaces

Anglický název

Closure operators on graphs for modeling connectedness in digital spaces

Druh

Článek WoS

Originální abstrakt

For undirected simple graphs, we introduce closure operators on their vertex sets induced by sets of walks of the same lengths. Some basic properties of these closure operators are studied, with greater attention paid to connectedness. We focus on the closure operators induced by certain sets of walks in the 2-adjacency graph on the digital line Z, which generalize the Khalimsky topology. For the closure operators on Z^2 obtained as particularly defined products of pairs of the induced closure operators on Z, we formulate and prove a digital form of the Jordan curve theorem.

Anglický abstrakt

For undirected simple graphs, we introduce closure operators on their vertex sets induced by sets of walks of the same lengths. Some basic properties of these closure operators are studied, with greater attention paid to connectedness. We focus on the closure operators induced by certain sets of walks in the 2-adjacency graph on the digital line Z, which generalize the Khalimsky topology. For the closure operators on Z^2 obtained as particularly defined products of pairs of the induced closure operators on Z, we formulate and prove a digital form of the Jordan curve theorem.

Klíčová slova

Simple grap, walk, closure operator, digital space, Khalimsky topology, Jordan curve theorem

Klíčová slova v angličtině

Simple grap, walk, closure operator, digital space, Khalimsky topology, Jordan curve theorem

Autoři

ŠLAPAL, J.

Rok RIV

2019

Vydáno

26.11.2018

ISSN

0354-5180

Periodikum

Filomat

Svazek

32

Číslo

14

Stát

Srbská republika

Strany od

5011

Strany do

5021

Strany počet

11

URL

http://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/7904

BibTex

@article{BUT155935,
  author="Josef {Šlapal}",
  title="Closure operators on graphs for modeling connectedness in digital spaces",
  journal="Filomat",
  year="2018",
  volume="32",
  number="14",
  pages="5011--5021",
  doi="10.2298/FIL1814011S",
  issn="0354-5180",
  url="http://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/7904"
}

Dokumenty

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