Regularity of path ideals of gap free graphs

DOI10.1016/j.jpaa.2016.12.005zbMath1365.13035arXiv1409.3583OpenAlexW2963931445MaRDI QIDQ2627969

Arindam Banerjee

Publication date: 9 June 2017

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3583

zbMATH Keywords

graphCastelnuovo-Mumford regularityminimal free resolution

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Related Items

Regularity of 3-path ideals of trees and unicyclic graphs ⋮ Regularity and projective dimension of powers of edge ideal of the disjoint union of some weighted oriented gap-free bipartite graphs ⋮ Unnamed Item ⋮ Upper bounds for the regularity of gap-free graphs in terms of minimal triangulation

Cites Work

• Unnamed Item
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• Results on the regularity of square-free monomial ideals
• Regularity of edge ideals of \(C_{4}\)-free graphs via the topology of the lcm-lattice
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• The regularity of powers of edge ideals
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• Restricting linear syzygies: algebra and geometry
• On the Resolution of Path Ideals of Cycles
• Graded Betti numbers of path ideals of cycles and lines
• Monomial ideals whose powers have a linear resolution