Detail výsledku

Path-set induced closure operators on graphs

ŠLAPAL, J. Path-set induced closure operators on graphs. Filomat, 2016, vol. 30, no. 3, p. 863-871. ISSN: 0354-5180.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
Abstrakt

Given a simple graph, we associate with every set of paths of the same positive length a closure
operator on the (vertex set of the) graph. These closure operators are then studied. In particular, it is shown
that the connectedness with respect to them is a certain kind of path connectedness. Closure operators
associated with sets of paths in some graphs with the vertex set Z^2 are discussed which include the well
known Marcus-Wyse and Khalimsky topologies used in digital topology.

Klíčová slova

Simple graph, path, closure operator, connectedness, Marcus-Wyse and Khalimsky topologies

URL
Rok
2016
Strany
863–871
Časopis
Filomat, roč. 30, č. 3, ISSN 0354-5180
Místo
University on Nis, Serbia
DOI
10.2298/FIL1603863S
UT WoS
000376574100037
EID Scopus
2-s2.0-84965162659
BibTeX 
@article{BUT116976,
  author="Josef {Šlapal}",
  title="Path-set induced closure operators on graphs",
  journal="Filomat",
  year="2016",
  volume="30",
  number="3",
  pages="863--871",
  doi="10.2298/FIL1603863S",
  issn="0354-5180",
  url="https://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/3285"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru