Another proof of Wilmes' conjecture

DOI10.1016/j.disc.2014.01.010zbMath1283.05215arXiv1306.2930OpenAlexW1983667974WikidataQ123274956 ScholiaQ123274956MaRDI QIDQ2439125

Sam Hopkins

Publication date: 7 March 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.2930

zbMATH Keywords

chip-firing\(G\)-parking functionlcm-lattice

Mathematics Subject Classification ID

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Syzygies, resolutions, complexes and commutative rings (13D02) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items

Divisors on graphs, binomial and monomial ideals, and cellular resolutions ⋮ Fourientations and the Tutte polynomial ⋮ Explicit deformation of lattice ideals via chip-firing games on directed graphs ⋮ Minimal free resolutions of the 𝐺-parking function ideal and the toppling ideal

Cites Work

• Divisors on graphs, binomial and monomial ideals, and cellular resolutions
• Laplacian ideals, arrangements, and resolutions
• \(G\)-parking functions, acyclic orientations and spanning trees
• The lcm-lattice in monomial resolutions
• Polynomial ideals for sandpiles and their Gröbner bases
• Syzygies of oriented matroids
• Monomials, binomials and Riemann-Roch
• Riemann-Roch and Abel-Jacobi theory on a finite graph
• Primer for the algebraic geometry of sandpiles
• Trees, parking functions, syzygies, and deformations of monomial ideals
• Minimal free resolutions of the 𝐺-parking function ideal and the toppling ideal
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