$\partial$-invariant path generators for digraphs

Zhenzhi Li, Wujie Shen

We study the structure of the space $\hat{I}{\text{c◯}}_3(G)$ of $\partial$-invariant 3-paths in a directed graph $G$. We prove that $\hat{I}{\text{c◯}}_3(G)$ admits a basis consisting of trapezohedral paths $τ_…