The Reeb Graph Edit Distance Is Universal

Ulrich Bauer
Ulrich Bauer
Claudia Landi
Claudia Landi
Facundo Mémoli
Facundo Mémoli

SoCG, 2020.

Cited by: 6|Bibtex|Views7|Links
EI

Abstract:

We consider the setting of Reeb graphs of piecewise linear functions and study distances between them that are stable, meaning that functions which are similar in the supremum norm ought to have similar Reeb graphs. We define an edit distance for Reeb graphs and prove that it is stable and universal, meaning that it provides an upper bo...More

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