Regularity of 3-path ideals of trees and unicyclic graphs

DOI10.1007/s40840-023-01596-xOpenAlexW4388494252MaRDI QIDQ6090831

Rajiv Kumar, Rajib Sarkar

Publication date: 20 November 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-023-01596-x

zbMATH Keywords

Castelnuovo-Mumford regularity\(t\)-path idealtrees and unicyclic graphs

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Other special types of modules and ideals in commutative rings (13C13) Combinatorial aspects of commutative algebra (05E40)

Cites Work

• Unnamed Item
• Algebraic properties of classes of path ideals of posets
• Graded syzygies
• Path ideals of rooted trees and their graded Betti numbers
• \(M\)-sequences, graph ideals, and ladder ideals of linear type
• Combinatorial pure subrings.
• Multigraded Betti numbers of some path ideals
• Characteristic-independence of Betti numbers of graph ideals
• Regularity of path ideals of gap free graphs
• Betti Numbers of Path Ideals of Trees
• Multi-graded Betti numbers of path ideals of trees
• On the Resolution of Path Ideals of Cycles
• Graded Betti numbers of path ideals of cycles and lines