论文标题
加权方向的规律性
Regularity in weighted oriented graphs
论文作者
论文摘要
让$ d $是一个具有加权的图形，带有基础图$ g $和$ i（d），i（g）$是分别对应于$ d $和$ g $的边缘理想。我们表明，即使在向其添加某些新的边缘之后，某种类别的加权图形的边缘理想的规律性仍然相同。当$ v^+$的顶点是下沉时，我们还建立了与加权路径的规律性和循环之间的关系之间的关系。
Let $D$ be a weighted oriented graph with the underlying graph $G$ and $I(D), I(G) $ be the edge ideals corresponding to $D$ and $G$ respectively. We show that the regularity of edge ideal of a certain class of weighted oriented graph remains same even after adding certain kind of new edges to it. We also establish the relationship between the regularity of edge ideal of weighted oriented path and cycle with the regularity of edge ideal of their underlying graph when vertices of $V^+$ are sinks.
