4 citations · 12 across the 9 of their papers we have counts for
9 papers
Witten-Morse functions and Morse inequalities on digraphs
Yong Lin, Chong Wang
In this paper, we prove that discrete Morse functions on digraphs are flat Witten-Morse functions and Witten complexes of transitive digraphs approach to Morse complexes. We constr…
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-)…
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…
Discrete Morse Theory on Digraphs
Yong Lin, Chong Wang, Shing-Tung Yau
In this paper, we give a necessary and sufficient condition that discrete Morse functions on a digraph can be extended to be Morse functions on its transitive closure, from this we…
A Discrete Morse Theory for Digraphs
Chong Wang, Shiquan Ren
Digraphs are generalizations of graphs in which each edge is assigned with a direction or two directions. In this paper, we define discrete Morse functions on digraphs, and prove t…