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math.AC2023
Generalized binomial edge ideals of bipartite graphs
Yi-Huang Shen, Guangjun Zhu
Connected bipartite graphs whose binomial edge ideals are Cohen--Macaulay have been classified by Bolognini et al. In this paper, we compute the depth, Castelnuovo--Mumford regular…
math.AC2023★ 1 cited
Regularity and multiplicity of Veronese type algebras
Kuei-Nuan Lin, Yi-Huang Shen
In this paper, we study the algebra of Veronese type. We show that the presentation ideal of this algebra has an initial ideal whose Alexander dual has linear quotients. As an appl…