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Turkish Journal of Mathematics

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.

DOI

10.3906/mat-1407-39

Keywords

Arithmetical rank, edge ideal, projective dimension, set-theoretic complete intersection

First Page

112

Last Page

123

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