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

Authors

GUANGJUN ZHU
FENG SHI
YAN GU

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

Recommended Citation

ZHU, G, SHI, F, & GU, Y (2015). Arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge. Turkish Journal of Mathematics 39 (1): 112-123. https://doi.org/10.3906/mat-1407-39