Multi-graded Betti numbers of path ideals of trees

DOI10.1142/S0219498817500189zbMath1359.13031MaRDI QIDQ2958484

Tricia Muldoon Brown, Rachelle R. Bouchat

Publication date: 2 February 2017

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

zbMATH Keywords

Betti numberspath ideals\(t\)-ary trees

Mathematics Subject Classification ID

Combinatorial aspects of commutative algebra (05E40) Computational homological algebra (13P20)

Related Items

Multigraded Betti numbers of Möbius domino ideals ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Regularity of 3-path ideals of trees and unicyclic graphs

Uses Software

• Macaulay2

Cites Work

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• Path ideals of rooted trees and their graded Betti numbers
• Splittable ideals and the resolutions of monomial ideals
• \(M\)-sequences, graph ideals, and ladder ideals of linear type
• Multigraded Betti numbers of some path ideals
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• On the Resolution of Path Ideals of Cycles
• Algebraic Properties of the Path Ideal of a Tree
• Graded Betti numbers of path ideals of cycles and lines

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