论文标题
路径复合物中的最小路径和无环模型
Minimal Path and Acyclic Models in the Path Complex
论文作者
论文摘要
在本文中，首先，我们将通过$ \ z $ g $的路径复合物$（ω_*（g; \ z），\ partial）$通过$ \ z $ g $的$ \ z $ - $ω_*（g，\ z）$的$ g $的结构，在\ cite \ cite {hy}中被称为最小路径。特别是，我们将研究最低$ 3 $ Paths的各种示例。其次，我们将证明最小路径的支撑子传输具有无环路同源性。第三，我们将考虑这种无环模型的应用。
In this paper, firstly, we will study the structure of the path complex $(Ω_*(G;\Z),\partial)$ of a digraph $G$ via the $\Z$-generators of $Ω_*(G,\Z)$ under strongly regular condition, which is called the minimal path in \cite{HY}. In particular, we will study various examples of the minimal $3$-paths. Secondly, we will show that the supporting sub-digraph of minimal path has acyclic path homologies. Thirdly, we will consider the applications of such an acyclic model.
