Graded Betti numbers of path ideals of cycles and lines

DOI10.1142/S0219498818500111zbMath1390.13004arXiv1110.6653OpenAlexW2964148599MaRDI QIDQ4599704

Sara Faridi, Ali Alilooee

Publication date: 4 January 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6653

zbMATH Keywords

monomialsresolutionBetti numbers

Mathematics Subject Classification ID

Paths and cycles (05C38) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (14)

Regularity of path ideals of gap free graphs ⋮ Stanley-Reisner Rings ⋮ Projective dimension and regularity of path ideals of cycles ⋮ Algebraic properties of classes of path ideals of posets ⋮ Regularity of 3-path ideals of trees and unicyclic graphs ⋮ Closed neighborhood ideal of a graph ⋮ Multi-graded Betti numbers of path ideals of trees ⋮ Projective dimension and regularity of the path ideal of the line graph ⋮ Persistence property for some classes of monomial ideals of a polynomial ring ⋮ Projective dimension and regularity of powers of edge ideals of vertex-weighted rooted forests ⋮ Regularity in weighted oriented graphs ⋮ Unnamed Item ⋮ Projective dimension and regularity of edge ideals of some weighted oriented graphs ⋮ Bounding the projective dimension of a squarefree monomial ideal via domination in clutters

Uses Software

• CoCoA
• Macaulay2

Cites Work

• Path ideals of rooted trees and their graded Betti numbers
• \(M\)-sequences, graph ideals, and ladder ideals of linear type
• When is a Squarefree Monomial Ideal of Linear Type ?
• On the Resolution of Path Ideals of Cycles
• Algebraic Properties of the Path Ideal of a Tree
• Unnamed Item
• Unnamed Item

This page was built for publication: Graded Betti numbers of path ideals of cycles and lines