论文标题
Cohen-Macaulay加权森林的边缘理想的规律性
Regularity of powers of edge ideals of Cohen-Macaulay weighted oriented forests
论文作者
论文摘要
在本文中，我们明确地给出了组合公式，以适应边缘理想的规律性，$ \ reg（i（d）^k）$，是加权定向的未结合森林的$ d $，其叶子为木头（$ v^+（d）$）。该组合公式是$ k $的分段线性函数，对于$ k \ geq 1 $。
In this paper, we explicitly give combinatorial formulas for the regularity of powers of edge ideals, $\reg(I(D)^k)$, of weighted oriented unmixed forests $D$ whose leaves are sinks ($V^+(D)$ are sinks). This combinatorial formula is a piecewise linear function of $k$, for $k \geq 1$.
