Publication detail

Structuring Digital Spaces by Path-Partition Induced Closure Operators on Graphs

ŠLAPAL, J.

Original Title

Structuring Digital Spaces by Path-Partition Induced Closure Operators on Graphs

Type

conference paper

Language

English

Original Abstract

We study closure operators on graphs which are induced by
path partitions, i.e., certain sets of paths of the same lengths in these
graphs. We investigate connectedness with respect to the closure operators
studied. In particular, the closure operators are discussed that are
induced by path partitions of some natural graphs on the digital spaces
Z^n, n > 0 a natural number. For the case n = 2, i.e., for the digital plane
Z^2, the induced closure operators are shown to satisfy an analogue of the
Jordan curve theorem which allows using them as convenient background
structures for studying digital images.

Keywords

Closure operator, path-partition in a graph, digital space.

Authors

ŠLAPAL, J.

Released

21. 3. 2017

Publisher

Springer Verlag

Location

Berlin

ISBN

978-3-319-54608-7

Book

Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications

Edition

Lecture Notes in Computer Science

ISBN

0302-9743

Periodical

Lecture Notes in Computer Science

Year of study

10149

Number

3

State

Federal Republic of Germany

Pages from

43

Pages to

55

Pages count

13

URL

https://link.springer.com/chapter/10.1007/978-3-319-54609-4_3

BibTex

@inproceedings{BUT144421,
  author="Josef {Šlapal}",
  title="Structuring Digital Spaces by Path-Partition Induced Closure Operators on Graphs",
  booktitle="Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications",
  year="2017",
  series="Lecture Notes in Computer Science",
  journal="Lecture Notes in Computer Science",
  volume="10149",
  number="3",
  pages="43--55",
  publisher="Springer Verlag",
  address="Berlin",
  doi="10.1007/978-3-319-54609-4\{_}3",
  isbn="978-3-319-54608-7",
  issn="0302-9743",
  url="https://link.springer.com/chapter/10.1007/978-3-319-54609-4_3"
}

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