Stability of Graphs

descriptionPublicationkeyboard_double_arrow_right Article 20 Feb 2009 Turkey Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 16 (eissn: 1077-8926,

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Authors: Bünyamin Demir; Ali Deniz; Sahin Koçak;

doi: 10.37236/244

handle: 11421/17966

Stability of Graphs

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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.

Country

Turkey

Related Organizations

Usak University
Turkey
Anadolu University
Turkey

Keywords

natural intrinsic metric, Gromov-Hausdorff metric, positively weighted graphs, lower bound, equivalent graphs, Metric geometry, minimal weights, Planar graphs; geometric and topological aspects of graph theory

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