Trees whose path ideals have linear quotients

2025/06/06 by Chau, Trung, Das, Kanoy Kumar, Dhar, Animikha Dutta +2
#05C05 #05E40 #13F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.06209

Abstract

For any integer n, we classify all trees whose n-path ideals have linear quotients.

Citations

• On the path ideals of chordal graphs
• Projective dimension and regularity of 3-path ideals of unicyclic graphs
• Multigraded Betti numbers of some path ideals
• Regularity of Path Ideals of Gap Free Graphs
• On the resolution of path ideals of cycles
• Graded Betti numbers of path ideals of cycles and lines
• Splittings of monomial ideals
• Monomial ideals whose powers have a linear resolution
• Monomial ideals whose powers have a linear resolution

Related

• Edge ideals of squares of trees
• Algebraic properties of the path ideal of a tree
• Path ideals of rooted trees and their graded Betti numbers
• Forests whose matching powers are linear
• Powers of Edge Ideals with Linear Quotients