Publication Details

Closure operators associated with networks

PFALTZ, J.; ŠLAPAL, J. Closure operators associated with networks. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2017, vol. 46, no. 1, p. 91-101. ISSN: 1303-5010.

Czech title

Uzávěrové operace asociované se sítěmi

Type

journal article

Language

English

Authors

Pfaltz John, Prof.
Šlapal Josef, prof. RNDr., CSc. (IM DAAG)

Keywords

Network, closure operator, transformation

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.

Published

2017

Pages

91–101

Journal

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol. 46, no. 1, ISSN 1303-5010

DOI

10.15672/HJMS.2016.397

UT WoS

000396573500008

EID Scopus

2-s2.0-85012081863

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/"
}