Ordinary and symbolic powers of edge ideals of weighted oriented graphs
2021
Let $\mathcal{D}$ be a weighted oriented graph and $I(\mathcal{D})$ be its edge ideal.
In this paper, we show that all the symbolic and ordinary powers of
$I(\mathcal{D})$ coincide when $\mathcal{D}$ is a weighted oriented certain class of tree.
Finally, we give necessary and sufficient conditions for the equality of ordinary and symbolic powers of naturally oriented lines.
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