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math.CO2021
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…
math.CO2021
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-)…