19 citations · 52 across the 11 of their papers we have counts for
4 papers · 1 filter
Maps on random hypergraphs and random simplicial complexes
Shiquan Ren, Chengyuan Wu, Jie Wu
Let be a simplicial complex. In this paper, we study random sub-hypergraphs and random sub-complexes of . By considering the minimal complex that a sub-hypergraph can be emb…
Computational Tools in Weighted Persistent Homology
Shiquan Ren, Chengyuan Wu, Jie Wu
In this paper, we study further properties and applications of weighted homology and persistent homology. We introduce the Mayer-Vietoris sequence and generalized Bockstein spectra…
Weighted Persistent Homology
Shiquan Ren, Chengyuan Wu, Jie Wu
In this paper we develop the theory of weighted persistent homology. In 1990, Robert J. Dawson was the first to study in depth the homology of weighted simplicial complexes. We gen…
Computing the Homology of Hypergraphs
Shiquan Ren, Chengyuan Wu, Stephane Bressan +1
Hypergraph is a topological model for networks. In order to study the topology of hypergraphs, the homology of the associated simplicial complexes and the embedded homology have be…