Betti Numbers of Path Ideals of Trees

DOI10.1080/00927872.2016.1172597zbMath1356.13026OpenAlexW2463453010MaRDI QIDQ2827256

Sara Saeedi Madani, Dariush Kiani

Publication date: 12 October 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1172597

zbMATH Keywords

Betti numberspath ideal\(t\)-strongly disjoint set of bouquets

Mathematics Subject Classification ID

Trees (05C05) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (5)

Regularity of 3-path ideals of trees and unicyclic graphs ⋮ 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

Cites Work

• Corrigendum to ``Path ideals of rooted trees and their graded Betti numbers
• Path ideals of rooted trees and their graded Betti numbers
• Characteristic-independence of Betti numbers of graph ideals
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• Cohen-Macaulay and Gorenstein Path Ideals of Trees
• GORENSTEIN AND S_r PATH IDEALS OF CYCLES
• Algebraic Properties of the Path Ideal of a Tree
• On Ideals Whose Radical Is a Monomial Ideal

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