Published January 1, 2025
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A Closed Formula for the Interleaving Distance of Rectangle Persistence Modules
- 1. Middle East Tech Univ, Dept Math, Ankara, Turkiye
- 2. Univ Modena & Reggio Emilia, Dept Sci & Methods Engn, Modena, Italy
Description
We give formulas for calculating the interleaving distance between rectangle persistence modules that depend solely on the geometry of the underlying rectangles. Moreover, we extend our results to calculate the bottleneck distance for rectangle decomposable persistence modules.
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