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math.AC2018
Projective dimension and regularity of edge ideal of some weighted oriented graphs
Guangjun Zhu, Li Xu, Hong Wang +1
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 som…
math.AC2018★ 1 cited
The relevance of Freiman's theorem for combinatorial commutative algebra
Jürgen Herzog, Takayuki Hibi, Guangjun Zhu
Freiman's theorem gives a lower bound for the cardinality of the doubling of a finite set in $\RR^n$. In this paper we give an interpretation of his theorem for monomial ideals and…