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arXiv · 2607.26226

Stability of persistent path homology of path complexes

Chris Kapulkin·Kyle Koyanagi
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Abstract

We show stability of persistent path homology of path complexes. As a consequence, we deduce the stability of persistent path homology of hypergraphs and of sequence hypergraphs, and recover the known stability result for digraphs, originally due to Chowdhury and M\'emoli.

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Chris Kapulkin, Kyle Koyanagi. 2026-07-28. Stability of persistent path homology of path complexes. https://arxiv.org/abs/2607.26226

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