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math.AC2022
On powers of the cover ideals of graphs
Dancheng Lu, Zexin Wang
For a simple graph , assume that is the vertex cover ideal of and is the -th symbolic power of . We prove that for all $…
math.AC2022
Linear resolutions and quasi-linearity of monomial ideals
Dancheng Lu
We introduce the concept of quasi-linearity and prove it is necessary for a monomial ideal to have a linear resolution and identify all the quasi-linear quadratic monomial ideals.…