Journals / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 1
Arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge
- Pages
- 112–123
- DOI
- —
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.
Özet
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.