Publication detail

Representation of graphs by means of generalized metrics

PAVLÍK, J.

English title

Representation of graphs by means of generalized metrics

Type

journal article in Web of Science

Language

en

Original abstract

The paper deals with spaces with metrics of nonnegative integer values, called here discrete gem spaces. We recall the concept of proper continuity for such spaces. Undirected connected graphs can be seen as such spaces and we show that they form the class of spaces satisfying the property corresponding to convexity in Euclidean spaces. Moreover, the whole category of discrete gem spaces and properly continuous maps is shown to be equivalent to a subcategory of the category of connected looped digraphs and their homomorphisms. (C) 2021 Published by Elsevier B.V.

English abstract

The paper deals with spaces with metrics of nonnegative integer values, called here discrete gem spaces. We recall the concept of proper continuity for such spaces. Undirected connected graphs can be seen as such spaces and we show that they form the class of spaces satisfying the property corresponding to convexity in Euclidean spaces. Moreover, the whole category of discrete gem spaces and properly continuous maps is shown to be equivalent to a subcategory of the category of connected looped digraphs and their homomorphisms. (C) 2021 Published by Elsevier B.V.

Keywords in English

Digraph; Neighborhood; Generalized metric; Proper continuity; Convexity

Released

30.10.2021

Publisher

ELSEVIER

Location

AMSTERDAM

ISSN

0166-218X

Volume

30

Number

302

Pages from–to

234–247

Pages count

14

BIBTEX


@article{BUT172188,
  author="Jan {Pavlík},
  title="Representation of graphs by means of generalized metrics",
  year="2021",
  volume="30",
  number="302",
  month="October",
  pages="234--247",
  publisher="ELSEVIER",
  address="AMSTERDAM",
  issn="0166-218X"
}