Arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge

Authors

GUANGJUN ZHU
FENG SHI
YAN GU

DOI

10.3906/mat-1407-39

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

First Page

112

Last Page

123

Recommended Citation

ZHU, GUANGJUN; SHI, FENG; and GU, YAN (2015) "Arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge," Turkish Journal of Mathematics: Vol. 39: No. 1, Article 11. https://doi.org/10.3906/mat-1407-39
Available at: https://journals.tubitak.gov.tr/math/vol39/iss1/11