Graph (topology)
id:
graph-topology-236-8329643
title:
Graph (topology)
text:
In topology, a branch of mathematics, a graph is a topological space which arises from a usual graph G = by replacing vertices by points and each edge e = x y ∈ E by a copy of the unit interval I = [ 0 , 1 ] , where 0 is identified with the point associated to x and 1 with the point associated to y . That is, as topological spaces, graphs are exactly the simplicial 1-complexes and also exactly the one-dimensional CW complexes. Thus, in particular, it bears the quotient topology of the set under
brand slug:
wiki
category slug:
encyclopedia
description:
Topological space arising from a usual graph
original url:
https://en.wikipedia.org/wiki/Graph_(topology)
date created:
date modified:
2024-02-21T06:55:37Z
main entity:
{"identifier":"Q30689475","url":"https://www.wikidata.org/entity/Q30689475"}
image:
fields total:
13
integrity:
14