K. Waas : On graphs with a metric endspace

Author(s) :

K. Waas

Title :

On graphs with a metric endspace

Electronic source:

application/pdf

Preprint series

Technische Universität Chemnitz-Zwickau, Fakultät für Mathematik (Germany). Preprint 97-4, 1997

Mathematics Subject Classification :

05C10 [ Topological graph theory ]

Abstract :

R. Diestel conjectured that an infinite graph contains a topologically end-faithful forest if end only if its end space is metrizable. We prove this conjecture for uniform end spaces.

Keywords :

infinite graph, topological end space, uniformly end-faithful, topologicatty end-faithful

Language :

english

Publication time :

1/1997