Persistent Dirac of paths on digraphs and hypergraphs
Persistent Dirac of paths on digraphs and hypergraphs
This work introduces the development of path Dirac and hypergraph Dirac operators, along with an exploration of their persistence. These operators excel in distinguishing between harmonic and non-harmonic spectra, offering valuable insights into the subcomplexes within these structures. The paper showcases the functionality of these operators through a series of …