Title of article :
Arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge
Author/Authors :
ZHU, GUANGJUN Soochow University - School of Mathematical Sciences, China , SHI, FENG Soochow University - School of Mathematical Sciences, China , GU, YAN Soochow University - School of Mathematical Sciences, China
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
