On the resolution of path ideals of cycles

2013/05/07 by Alilooee, Ali, Faridi, Sara · 1 citation
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1305.1651

Abstract

We give a formula to compute all the top degree graded Betti numbers of the path ideal of a cycle. Also we will find a criterion to determine when Betti numbers of this ideal are non zero and give a formula to compute its projective dimension and regularity.

Cited by

• Scarf complexes of connected and path ideals

Related

• Projective dimension and regularity of path ideals of cycles
• Graded Betti numbers of path ideals of cycles and lines
• Betti numbers of powers of path ideals of cycles
• Multigraded Betti numbers of some path ideals
• Path ideals of rooted trees and their graded Betti numbers