ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS

作者：Barile Margherita^*; Kiani Dariush; Mohammadi Fatemeh; Yassemi Siamak

来源：Journal of Algebra and Its Applications, 2012, 11(2): 1250039.

DOI：10.1142/S0219498811005634

• Arithmetical rank
• projective dimension
• edge ideals
• set-theoretic complete intersection ideals

We show that for the edge ideals of the graphs consisting of one cycle or two cycles of any length connected through a vertex, the arithmetical rank equals the projective dimension of the corresponding quotient ring.

• 出版日期2012-4