Stability of persistent path homology of path complexes

Chris Kapulkin; Kyle Koyanagi

Stability of persistent path homology of path complexes

Algebraic Topology 2026-07-28 v1 Computational Geometry Combinatorics

Authors: Chris Kapulkin , Kyle Koyanagi

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.

Keywords

persistent path homology path complexes stability hypergraphs sequence hypergraphs digraphs

Cite

@article{arxiv.2607.26226,
  title  = {Stability of persistent path homology of path complexes},
  author = {Chris Kapulkin and Kyle Koyanagi},
  journal= {arXiv preprint arXiv:2607.26226},
  year   = {2026}
}

Comments

30 pages; comments welcome