The Chip Firing Game and Matroid Complexes

No abstract is available for this paper.

• Publication year

  2001

• Venue

  Discrete Models: Combinatorics, Computation, and Geometry

• Publication date

  Unknown publication date

• Fields of study

  Mathematics, Computer Science

• Identifiers

  No identifiers available.

• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• On the Sandpile Group of Dual Graphs

  2000cited by this paper
• Chip-Firing and the Critical Group of a Graph

  1999influential reference
• The Tutte Polynomial as a Growth Function

  1999influential reference
• Chip firing and the tutte polynomial

  1997cited by this paper
• Two Decompositions in Topological Combinatorics with Applications to Matroid Complexes

  1997influential reference
• Matroid theory

  1992cited by this paper
• Roots of the Reliability Polynomial

  1992influential reference
• Matroid Applications: The Tutte Polynomial and Its Applications

  1992cited by this paper
• Matroid Applications: Homology and Shellability of Matroids and Geometric Lattices

  1992influential reference
• Chip-firing Games on Graphs

  1991cited by this paper
• Face number inequalities for matroid complexes and Cohen‐Macaulay types of Stanley‐Reisner rings of distributive lattices

  1991cited by this paper
• Disks, balls, and walls: analysis of a combinatorial game

  1989cited by this paper
• Balancing vectors in the max norm

  1986cited by this paper
• Combinatorics and commutative algebra

  1983influential reference

• Cycle systems, coparking functions, and h-vectors of matroids

  2025cites this paper
• Csikvári's poset and Tutte polynomial

  2025cites this paper
• Parking functions and chip-firing on hypergraphs

  2025cites this paper
• A Special Class of Pure $O$-Sequences

  2024cites this paper
• Csikv\'{a}ri's poset and Tutte polynomial

  2024cites this paper
• The h-vector of a positroid is a pure O-sequence

  2023cites this paper
• Biconed Graphs, Weighted Forests, and $h$-Vectors of Matroid Complexes

  2021cites this paper
• The geometry of geometries: matroid theory, old and new

  2021cites this paper
• Relaxations of the matroid axioms I: Independence, Exchange and Circuits

  2020cites this paper
• Hilbert Functions: A connection between algebra, geometry and combinatorics

  2020cites this paper
• Pure O-sequences arising from 2-dimensional PS ear-decomposable simplicial complexes

  2020cites this paper
• Biconed graphs, weighted forests, and h-vectors of matroid complexes

  2020cites this paper
• Tutte Polynomial Activities.

  2019cites this paper
• Tutte short exact sequences of graphs

  2019cites this paper
• Chip firing on Dynkin diagrams and McKay quivers

  2018cites this paper
• On power ideals of transversal matroids and their “parking functions”

  2018cites this paper
• On the roots of all-terminal reliability polynomials

  2017cites this paper
• Chip firing on Dynkin diagrams and McKay quivers

  2016cites this paper
• On f-vectors of polytopes and matroids

  2016cites this paper
• On Connectedness and Graph Polynomials

  2016cites this paper
• Quasi-matroidal classes of ordered simplicial complexes

  2016cites this paper
• Sandpile Groups

  2016cites this paper
• Matroids : h-vectors, zonotopes, and Lawrence polytopes

  2015cites this paper
• Fourientations and the Tutte polynomial

  2015cites this paper
• Chip-firing and energy minimization on M-matrices

  2014cites this paper
• The Topology of the External Activity Complex of a Matroid

  2014cites this paper
• Lexicographic shellability, matroids, and pure order ideals

  2014cites this paper
• Algebraic and Geometric Methods in Enumerative Combinatorics

  2014cites this paper
• Problems of Enumeration and Realizability on Matroids, Simplicial Complexes, and Graphs

  2013cites this paper
• Pure O-Sequences and Matroid h-Vectors

  2013cites this paper
• Pure O-sequences: Known results, applications, and open problems

  2012cites this paper
• A multicomplex of partially edge-rooted forests

  2012cites this paper
• h-vectors of matroid complexes

  2012cites this paper
• Generic and special constructions of pure O‐sequences

  2012cites this paper
• Lattices generated by Chip Firing Game models: Criteria and recognition algorithms

  2012cites this paper
• Combinatorial Aspects of Zonotopal Algebra

  2012cites this paper
• Combinatorics related to the totally nonnegative Grassmannian

  2011cites this paper
• h-Vectors of Small Matroid Complexes

  2011cites this paper
• On the h-Vector of a Lattice Path Matroid

  2010influential citation
• Hierarchical zonotopal power ideals

  2010cites this paper
• Generalized Permutohedra, h-Vectors of Cotransversal Matroids and Pure O-Sequences

  2010cites this paper
• Pure O-Sequences and Matroid h-Vectors

  2010cites this paper
• On the structure of the h-vector of a paving matroid

  2010cites this paper
• THE h-VECTORS OF 1-DIMENSIONAL MATROID COMPLEXES AND A CONJECTURE OF STANLEY

  2009cites this paper
• Chip firing and all-terminal network reliability bounds

  2009cites this paper
• Cleaning a network with brushes

  2008cites this paper
• Graph Polynomials and Their Applications I: The Tutte Polynomial

  2008cites this paper
• POSET CONVEX-EAR DECOMPOSITIONS AND APPLICATIONS TO THE FLAG H-VECTOR

  2008cites this paper
• matroid theory. 2007

  2007cites this paper
• The chip-firing game

  2005cites this paper
• Chip-Firing Games with Dirichlet Eigenvalues and Discrete Green's Functions

  2002cites this paper
• Chip-firing Using M -Bases

  year unknowninfluential citation
• A Special Class of Pure O -Sequences

  year unknowncites this paper