Toric ideals of weighted oriented graphs
DOI10.1142/S0218196722500151zbMath1489.13034arXiv2107.04524OpenAlexW4211027780MaRDI QIDQ5063211
Jennifer Biermann, Kuei-Nuan Lin, Selvi Kara, Augustine B. O'Keefe
Publication date: 17 March 2022
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.04524
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Paths and cycles (05C38) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Structure, classification theorems for modules and ideals in commutative rings (13C05) Directed graphs (digraphs), tournaments (05C20) Combinatorial aspects of commutative algebra (05E40) Commutative rings defined by binomial ideals, toric rings, etc. (13F65) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)
Uses Software
Cites Work
- Minimum distance functions of graded ideals and Reed-Muller-type codes
- Toric dynamical systems
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- Symbolic Powers of Monomial Ideals and Cohen-Macaulay Vertex-Weighted Digraphs
- Rees algebras of edge ideals
- Multi-Rees algebras and toric dynamical systems
- Edge ideals of oriented graphs
- The maximum likelihood degree
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