Stability of persistent path homology of path complexes
arXiv:2607.26226
summary
The paper proves that the persistent path homology of path complexes is stable under perturbations, and extends this stability to hypergraphs, sequence hypergraphs, and digraphs.
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.
30 pages; comments welcome
Topics & keywords
#persistent homology#path complexes#hypergraphs#stability#digraphspersistent path homologystability theoremhypergraph homologysequence hypergraphsdigraphs