- Turkish Journal of Mathematics
- Vol: 39 Issue: 1
- Arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge
Arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge
Authors : Guangjun Zhu, Feng Shi, Yan Gu
Pages : 112-123
Doi:10.3906/mat-1407-39
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper, we present some lower bounds and upper bounds on the arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge. For some special n-cyclic graphs with a common edge, we prove that the arithmetical rank equals the projective dimension of the corresponding quotient ring.Keywords : Arithmetical rank, edge ideal, projective dimension, set-theoretic complete intersection