Stability of Graphs

  • Bünyamin Demir
  • Ali Deniz
  • Şahin Koçak

Abstract

Positively weighted graphs have a natural intrinsic metric. We consider finite, positively weighted graphs with a positive lower bound for their minimal weights and show that any two such graphs, which are close enough with respect to the Gromov-Hausdorff metric, are equivalent as graphs.

Published
2009-02-20
Article Number
N6