Parity binomial edge ideals

DOI10.1007/s10801-015-0657-3zbMath1346.05300arXiv1503.00584OpenAlexW1555508014MaRDI QIDQ737975

Tobias Windisch, Thomas Kahle, Camilo Sarmiento

Publication date: 12 August 2016

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00584

zbMATH Keywords

primary decompositionbinomial idealsbinomial edge idealsMarkov basesmesoprimary decomposition

Mathematics Subject Classification ID

Paths and cycles (05C38) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Combinatorial aspects of commutative algebra (05E40)

Related Items (10)

Binomial edge ideals of cographs ⋮ Hilbert-Poincaré series of parity binomial edge ideals and permanental ideals of complete graphs ⋮ Cohen-Macaulay binomial edge ideals and accessible graphs ⋮ The universal Gröbner basis of a binomial edge ideal ⋮ Regularity of powers of (parity) binomial edge ideals ⋮ Comparison of symbolic and ordinary powers of parity binomial edge ideals ⋮ Regularity of powers of quadratic sequences with applications to binomial ideals ⋮ Lovász-Saks-Schrijver ideals and parity binomial edge ideals of graphs ⋮ Binomial edge ideals of bipartite graphs ⋮ Regularity of parity binomial edge ideals

Uses Software

• Macaulay2
• Binomials.m2
• BinomialEdgeIdeals
• GitHub

Cites Work

• Unnamed Item
• Positive margins and primary decomposition
• Chemical reaction systems with toric steady states
• Decompositions of commutative monoid congruences and binomial ideals.
• Detecting binomiality
• On the ideal of orthogonal representations of a graph in \(\mathbb{R}^2\)
• Lifting Markov bases and higher codimension toric fiber products
• Lectures on algebraic statistics
• Binomial edge ideals and conditional independence statements
• Primary decomposition of lattice basis ideals
• On the minors of an incidence matrix and Smith normal form
• On the embedded primes of the Mayr-Meyer ideals
• Ideals of adjacent minors
• Binomial ideals
• Affine stratifications from finite misère quotients.
• Sysygies of unimodular Lawrence ideals
• Theory and Applications of Lattice Point Methods for Binomial Ideals
• Decompositions of binomial ideals

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