Binomial Edge Ideals of Complete Multipartite Graphs

DOI10.1080/00927872.2012.680219zbMath1406.13026OpenAlexW2007536510MaRDI QIDQ2850832

Masahiro Ohtani

Publication date: 30 September 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.680219

zbMATH Keywords

Plücker relationscomplete multipartite graphssymbolic powersbinomial edge ideals\(F\)-purity

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Combinatorial aspects of commutative algebra (05E40)

Related Items (4)

Depth of powers of binomial edge ideals of complete bipartite graphs ⋮ Some Cohen–Macaulay and Unmixed Binomial Edge Ideals ⋮ Comparison of symbolic and ordinary powers of parity binomial edge ideals ⋮ On the equality of symbolic and ordinary powers of binomial edge ideals

Cites Work

• Unnamed Item
• Powers of ideals in Cohen-Macaulay rings
• Binomial edge ideals and conditional independence statements
• Frobenius splitting and cohomology vanishing for Schubert varieties
• On the symbolic powers of determinantal ideals
• The purity of the Frobenius and local cohomology
• On the ideal theory of graphs
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• Symbolic powers of radical ideals
• Criteria for equality of ordinary and symbolic powers of primes
• Graphs and Ideals Generated by Some 2-Minors
• Powers of Ideals Having Small Analytic Deviation

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