paper

Stability of persistent path homology of path complexes

arXiv:2607.26226

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 Mémoli.

arXiv comment30 pages; comments welcome