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PFALTZ, J. ŠLAPAL, J.
Original Title
Closure operators associated with networks
Type
journal article in Web of Science
Language
English
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.
Keywords
Network, closure operator, transformation
Authors
PFALTZ, J.; ŠLAPAL, J.
Released
1. 10. 2017
ISBN
1303-5010
Periodical
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Year of study
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/" }