Publication result detail

Closure operators associated with networks

PFALTZ, J.; ŠLAPAL, J.

Original Title

Closure operators associated with networks

English Title

Closure operators associated with networks

Type

WoS Article

Original Abstract

We study network (i.e., undirected simple graph) structures by investigating associated closure operators and the corresponding closed sets. To describe the dynamic behavior of networks, we employ continuous transformations and neighborhood homomorphisms between them. These transformations and homomorphisms are then studied. In particular, the problem of preserving generators by continuous transformations and that of preserving minimal dominating sets by neighborhood
homomorphisms are dealt with.

English abstract

We study network (i.e., undirected simple graph) structures by investigating associated closure operators and the corresponding closed sets. To describe the dynamic behavior of networks, we employ continuous transformations and neighborhood homomorphisms between them. These transformations and homomorphisms are then studied. In particular, the problem of preserving generators by continuous transformations and that of preserving minimal dominating sets by neighborhood
homomorphisms are dealt with.

Keywords

Network, closure operator, transformation

Key words in English

Network, closure operator, transformation

Authors

PFALTZ, J.; ŠLAPAL, J.

RIV year

2018

Released

01.10.2017

ISBN

1303-5010

Periodical

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS

Volume

46

Number

1

State

Republic of Turkey

Pages from

91

Pages to

101

Pages count

11

URL

https://www.fit.vut.cz/research/publication/11593/

BibTex

@article{BUT144500,
  author="John {Pfaltz} and Josef {Šlapal}",
  title="Closure operators associated with networks",
  journal="HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS",
  year="2017",
  volume="46",
  number="1",
  pages="91--101",
  doi="10.15672/HJMS.2016.397",
  issn="1303-5010",
  url="https://www.fit.vut.cz/research/publication/11593/"
}

Documents

Hacettepe