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

2018/02/18 by Guangjun Zhu, Zhu, Guangjun, Li Xu +5
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1802.06316

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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