Projective dimension and regularity of edge ideal of some weighted oriented graphs

Guangjun Zhu; Li Xu; Hong Wang; Zhongming Tang

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arXiv · 1802.06316

Projective dimension and regularity of edge ideal of some weighted oriented graphs

Guangjun Zhu·Li Xu·Hong Wang·Zhongming Tang

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Abstract

In this paper we provide some exact formulas for the projective dimension and the regularity of edge ideals associated to vertex weighted rooted forests and oriented cycles. As some consequences, we give some exact formulas for the depth of these ideals.

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Guangjun Zhu, Li Xu, Hong Wang, Zhongming Tang. 2018-02-18. Projective dimension and regularity of edge ideal of some weighted oriented graphs. https://arxiv.org/abs/1802.06316

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