Divisors on graphs, binomial and monomial ideals, and cellular resolutions
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Publication:284775
DOI10.1007/s00209-015-1589-2zbMath1336.05060arXiv1306.5351OpenAlexW3105075611MaRDI QIDQ284775
Farbod Shokrieh, Fatemeh Mohammadi
Publication date: 18 May 2016
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.5351
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of matroids and geometric lattices (05B35)
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Cites Work
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- Types of signature analysis in reliability based on Hilbert series
- Cellular resolutions from mapping cones
- Laplacian ideals, arrangements, and resolutions
- On the Orlik-Terao ideal and the relation space of a hyperplane arrangement
- Chip-firing games on graphs
- Triangulations. Structures for algorithms and applications
- Complexes of directed trees and independence complexes
- Arithmetical graphs
- Chip-firing and the critical group of a graph
- On lattice dicing
- Chip firing and the Tutte polynomial
- The sand-pile model and Tutte polynomials
- Polynomial ideals for sandpiles and their Gröbner bases
- Chip-firing games, potential theory on graphs, and spanning trees
- Complexes of directed trees
- Syzygies of oriented matroids
- Combinatorics and commutative algebra.
- Free resolutions and sparse determinantal ideals
- Orientations, semiorders, arrangements, and parking functions
- Monomials, binomials and Riemann-Roch
- Riemann-Roch and Abel-Jacobi theory on a finite graph
- Another proof of Wilmes' conjecture
- A Riemann-Roch theorem in tropical geometry
- Spécialisation du foncteur de Picard
- Sysygies of unimodular Lawrence ideals
- Discrete Morse theory for cellular resolutions
- The Algebraic Method in Tree Percolation
- A Family of Quasisymmetry Models
- Divisors on Graphs, Connected Flags, and Syzygies
- Primer for the algebraic geometry of sandpiles
- Self-organized criticality
- Compactifications of the Generalized Jacobian Variety
- On the Interpretation of Whitney Numbers Through Arrangements of Hyperplanes, Zonotopes, Non-Radon Partitions, and Orientations of Graphs
- The monodromy pairing and discrete logarithm on the Jacobian of finite graphs
- The capacity pairing.
- Cellular resolutions of monomial modules
- Algebraic Potential Theory on Graphs
- The lattice of integral flows and the lattice of integral cuts on a finite graph
- Self-organized critical state of sandpile automaton models
- Prime splittings of determinantal ideals
- The Geometry of Syzygies
- Oriented Matroids
- Trees, parking functions, syzygies, and deformations of monomial ideals
- Monomial Ideals
- Degree and Algebraic Properties of Lattice and Matrix Ideals
- SINGULAR
- Shellability of complexes of directed trees
- Minimal free resolutions of the 𝐺-parking function ideal and the toppling ideal
- CANONICAL REPRESENTATIVES FOR DIVISOR CLASSES ON TROPICAL CURVES AND THE MATRIX–TREE THEOREM
- Schälbare Cohen-Macaulay-Komplexe und ihre Parametrisierung. (Shellable Cohen-Macaulay complexes and their parametrization)
