Stability of depths of powers of edge ideals

DOI10.1016/j.jalgebra.2016.01.009zbMath1335.13014arXiv1601.02766OpenAlexW2236004923MaRDI QIDQ5964496

Tran Nam Trung

Publication date: 29 February 2016

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

Full work available at URL: https://arxiv.org/abs/1601.02766

zbMATH Keywords

bipartite componentsedge idealindex of depth stability

Mathematics Subject Classification ID

Applications of graph theory (05C90) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Local cohomology and commutative rings (13D45) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)

Related Items

Maximal generating degrees of integral closures of powers of monomial ideals ⋮ POWERS OF BINOMIAL EDGE IDEALS WITH QUADRATIC GRÖBNER BASES ⋮ Irreducible decomposition of powers of edge ideals ⋮ On the Stanley depth of powers of edge ideals ⋮ The a0-invariants of powers of a two-dimensional squarefree monomial ideal ⋮ Lower bounds for the depth of symbolic powers of edge ideals of graphs ⋮ The facet ideals of chessboard complexes ⋮ Decreasing behavior of the depth functions of edge ideals ⋮ Stability of depth and Cohen-Macaulayness of integral closures of powers of monomial ideals ⋮ Regular sequences on squares of monomial ideals ⋮ Depth of powers of generalized Hibi ideals ⋮ The socle module of a monomial ideal ⋮ Stability of depths of symbolic powers of Stanley-Reisner ideals ⋮ Depth and regularity of monomial ideals via polarization and combinatorial optimization ⋮ Stability of depth functions of cover ideals of balanced hypergraphs ⋮ Stability of depth and Stanley depth of symbolic powers of squarefree monomial ideals ⋮ Associated primes of powers of edge ideals and ear decompositions of graphs ⋮ Regularity of powers of edge ideals of unicyclic graphs ⋮ The powers of unmixed bipartite edge ideals ⋮ Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals

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