19 citations · 71 across the 26 of their papers we have counts for
26 papers
Generations of random hypergraphs and random simplicial complexes by the map algebra
S. Ren
We consider the random hypergraph on a finite vertex set by choosing each set of vertices as an hyperedge independently at random. We express the probability distributions of the (…
On The Discrete Morse Functions for Hypergraphs
Shiquan Ren, Chong Wang, Chengyuan Wu +1
A hypergraph can be obtained from a simplicial complex by deleting some non-maximal simplices. In this paper, we study the embedded homology as well as the homology of the (lower-)…
Simplicial-like Identities for The Paths and The Regular Paths on Discrete Sets
Shiquan Ren
Simplicial identities play an important and fundamental role in simplicial homotopy theory. On the other hand, the study of the paths and the regular paths on discrete sets is the…
Weighted Simplicial Complexes and Weighted Analytic Torsions
Shiquan Ren, Chengyuan Wu
A weighted simplicial complex is a simplicial complex with values (called weights) on the vertices. In this paper, we consider weighted simplicial complexes with -val…
Differential algebras on digraphs and parametrized homology
Shiquan Ren, Chong Wang
The theory of path homology for digraphs was developed by Alexander Grigor'yan, Yong Lin, Yuri Muranov, and Shing-Tung Yau. In this paper, we consider the differential algebras on…
Weighted Analytic Torsion for Weighted Digraphs
Shiquan Ren, Chong Wang
In 2020, Alexander Grigor'yan, Yong Lin and Shing-Tung Yau [4] introduced the Reidemeister torsion and the analytic torsion for digraphs by means of the path complex and the path h…