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math.CO2026
Path homology of circulant digraphs
Xinxing Tang, Shing-Tung Yau
We organize and extend a set of computations and structural observations about the Grigoryan--Lin--Muranov--Yau (GLMY) path complex of circulant digraphs and circulan…
math.CO2024
The Cellular Homology of Digraphs
Xinxing Tang, Shing-Tung Yau
In \cite{TY}, we investigate the pair $(P, \Supp(P))$ of minimal path and its supporting sub-digraph $\Supp(P)$ in the path complex of a digraph under the strongly regular…