Minimal Path and Acyclic Models in the Path Complex

Xinxing Tang, Shing-Tung Yau

In this paper, firstly, we will study the structure of the path complex $(\hat{I}{\text{c◯}}_{\ast }(G;\mathbb{Z}),\partial )$ of a digraph $G$ via the $\mathbb{Z}$-generators of $\hat{I}{\text{c◯}}_{\ast }(G,\mathbb{Z})$ under strongly regular cond…