Regularity of powers of edge Ideal of whiskered cycles

DOI10.1080/00927872.2016.1175605zbMath1372.13012arXiv1505.06096OpenAlexW2963113511MaRDI QIDQ2984879

Mahdiyeh Moghimian, Siamak Yassemi, Seyed Amin Seyed Fakhari

Publication date: 12 May 2017

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

Full work available at URL: https://arxiv.org/abs/1505.06096

zbMATH Keywords

Castelnuovo-Mumford regularityedge idealwhiskered cycle graph

Mathematics Subject Classification ID

Paths and cycles (05C38) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Related Items (22)

Regularity of powers of edge ideals of product of graphs ⋮ Regularity of powers of edge ideals of some graphs ⋮ Powers of edge ideals with linear resolutions ⋮ On the Castelnuovo-Mumford regularity of squarefree powers of edge ideals ⋮ Regularity of powers of edge ideals: from local properties to global bounds ⋮ Regularity of powers of bipartite graphs ⋮ Regularity of symbolic powers of edge ideals of Cameron-Walker graphs ⋮ Regularity and projective dimension of powers of edge ideal of the disjoint union of some weighted oriented gap-free bipartite graphs ⋮ Powers of ideals associated to \((C_{4},2K_{2})\)-free graphs ⋮ A bound for the regularity of powers of edge ideals ⋮ An upper bound for the regularity of symbolic powers of edge ideals of chordal graphs ⋮ Linear polynomials for the regularity of powers of edge ideals of very well-covered graphs ⋮ Regularity of powers of cover ideals of unimodular hypergraphs ⋮ Regularity of bicyclic graphs and their powers ⋮ Projective dimension and regularity of powers of edge ideals of vertex-weighted rooted forests ⋮ Regularity of symbolic powers of cover ideals of graphs ⋮ Regularity of powers of edge ideals of unicyclic graphs ⋮ Unnamed Item ⋮ Homological invariants of powers of fiber products ⋮ Regularity of symbolic powers of edge ideals of unicyclic graphs ⋮ Regularity of symbolic powers of edge ideals of chordal graphs ⋮ Binomial edge ideals of unicyclic graphs

Cites Work

• Bounds on the regularity and projective dimension of ideals associated to graphs
• Progress in commutative algebra 1. Combinatorics and homology
• Regularity of powers of forests and cycles
• The regularity of powers of edge ideals
• Monomial ideals whose powers have a linear resolution
• Regularity of Squarefree Monomial Ideals

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