Symbolic powers of vertex cover ideals

DOI10.1142/S0218196720500368zbMath1445.13016arXiv1908.10576OpenAlexW3011863282MaRDI QIDQ4970521

S. Selvaraja

Publication date: 14 October 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10576

zbMATH Keywords

symbolic powercomponentwise linearvertex cover idealvertex-decomposable graph

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Powers of componentwise linear ideals: the Herzog-Hibi-Ohsugi conjecture and related problems ⋮ Componentwise linearity of powers of cover ideals ⋮ Symbolic powers of cover ideals of graphs and Koszul property

Uses Software

• Macaulay2
• EdgeIdeals
• SimplicialComplexes
• SimplicialDecomposability

Cites Work

• Unnamed Item
• Unnamed Item
• Algebraic study on Cameron-Walker graphs
• Powers of the vertex cover ideals
• Partial coloring, vertex decomposability and sequentially Cohen-Macaulay simplicial complexes
• Shellable graphs and sequentially Cohen-Macaulay bipartite graphs
• Ideals with linear quotients
• Algebraic properties of edge ideals via combinatorial topology
• Resolutions of Stanley-Reisner rings and Alexander duality
• Componentwise linear ideals and Golod rings
• Resolutions by mapping cones
• Symbolic powers of ideals
• Powers of ideals associated to \((C_{4},2K_{2})\)-free graphs
• Cohen-Macaulay graphs
• Calculations involving symbolic powers
• Regularity of symbolic powers of cover ideals of graphs
• EdgeIdeals: a package for (hyper)graphs
• Simplicial decomposability
• Whiskers and sequentially Cohen-Macaulay graphs
• The graphs with maximum induced matching and maximum matching the same size
• Cohen–Macaulay Graphs and Face Vectors of Flag Complexes
• Powers of Componentwise Linear Ideals
• Powers of the Vertex Cover Ideal of a Chordal Graph
• Vertex decomposable graphs and obstructions to shellability
• Sequentially Cohen-Macaulay edge ideals
• A New Construction for Cohen–Macaulay Graphs
• Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra
• Componentwise linear ideals
• Shellable nonpure complexes and posets. II
• Symbolic powers of cover ideal of very well-covered and bipartite graphs
• Monomial Ideals
• Vertex decomposable graph