Detail publikace

Representation of graphs by means of generalized metrics

PAVLÍK, J.

Anglický název

Representation of graphs by means of generalized metrics

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova anglicky

Digraph; Neighborhood; Generalized metric; Proper continuity; Convexity

Vydáno

30.10.2021

Nakladatel

ELSEVIER

Místo

AMSTERDAM

ISSN

0166-218X

Ročník

30

Číslo

302

Strany od–do

234–247

Počet stran

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"
}