Sortable simplicial complexes and \(t\)-independence ideals of proper interval graphs

DOI10.37236/8860zbMath1460.13031arXiv1908.07179OpenAlexW3011287423MaRDI QIDQ2309236

Masoomeh Rahimbeigi, Somayeh Moradi, Fahimeh Khosh-Ahang Ghasr, Jürgen Herzog

Publication date: 30 March 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07179

zbMATH Keywords

interval graphindependence complexproper graphsortable simplicial complex

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Combinatorial aspects of simplicial complexes (05E45)

Related Items (3)

Toric rings arising from vertex cover ideals ⋮ Unnamed Item ⋮ Restricted classes of veronese type ideals and algebras

Cites Work

• Persistence and stability properties of powers of ideals
• Ideals of fiber type and polymatroids
• A short proof that `proper = unit'
• The stable set of associated prime ideals of a polymatroidal ideal
• Associated primes of powers of edge ideals
• Optimal greedy algorithms for indifference graphs
• The Roberts characterization of proper and unit interval graphs
• Binomial Ideals
• t-clique ideal and t-independence ideal of a graph
• Some algebraic properties of t-clique ideals
• A family of monomial ideals with the persistence property

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