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 persistencemodules.
A Closed Formula for the Interleaving Distance of Rectangle Persistence Modules / Batan, Mehmet Ali; Landi, Claudia; Pamuk, Mehmetcik. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - 22:4(2025), pp. 00-00. [10.1007/s00009-025-02856-9]
A Closed Formula for the Interleaving Distance of Rectangle Persistence Modules
Landi, Claudia;
2025
Abstract
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 persistencemodules.
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