On the Resolution of Path Ideals of Cycles

DOI10.1080/00927872.2013.837170zbMath1325.13014arXiv1305.1651OpenAlexW2124526601MaRDI QIDQ3448585

Sara Faridi, Ali Alilooee

Publication date: 26 October 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1651

zbMATH Keywords

regularityprojective dimensionBetti numbersrunspath ideals

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Homology and cohomology theories in algebraic topology (55N99)

Related Items

Regularity of path ideals of gap free graphs ⋮ Stanley-Reisner Rings ⋮ Multigraded Betti numbers of Möbius domino ideals ⋮ Projective dimension and regularity of path ideals of cycles ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Regularity of 3-path ideals of trees and unicyclic graphs ⋮ Multi-graded Betti numbers of path ideals of trees ⋮ Graded Betti numbers of path ideals of cycles and lines ⋮ Some algebraic properties of t-clique ideals ⋮ Minimal free resolutions of 2 × n domino tilings ⋮ Regularity in weighted oriented graphs ⋮ Graded Betti numbers of crown edge ideals ⋮ Projective dimension and regularity of edge ideals of some weighted oriented graphs

Uses Software

• CoCoA
• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Path ideals of rooted trees and their graded Betti numbers
• \(M\)-sequences, graph ideals, and ladder ideals of linear type
• Algebraic Properties of the Path Ideal of a Tree