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/"
}
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