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Chip-Firing Games and Critical Groups (Q5118415)

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scientific article; zbMATH DE number 7244762

Language	Label	Description	Also known as
English	Chip-Firing Games and Critical Groups	scientific article; zbMATH DE number 7244762

Statements

scholarly article

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Chip-Firing Games and Critical Groups (English)

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Foundations for Undergraduate Research in Mathematics

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publication date

8 September 2020

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full work available at URL

https://arxiv.org/abs/1908.04395

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zbMATH Keywords

finite abelian group

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chip-firing operations

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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On the sandpile group of the cone of a graph

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A Spectral Lower Bound for the Divisorial Gonality of Metric Graphs

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CANONICAL REPRESENTATIVES FOR DIVISOR CLASSES ON TROPICAL CURVES AND THE MATRIX–TREE THEOREM

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Arithmetical structures on bidents

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Chip-Firing and Riemann-Roch Theory for Directed Graphs

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The lattice of integral flows and the lattice of integral cuts on a finite graph

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Riemann-Roch and Abel-Jacobi theory on a finite graph

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Harmonic Morphisms and Hyperelliptic Graphs

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Chip-firing games, potential theory on graphs, and spanning trees

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Cyclic Critical Groups of Graphs

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The critical group of a line graph

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Bicycles and Spanning Trees

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Chip-firing and the critical group of a graph

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Chip-firing games on directed graphs

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Grothendieck's pairing on component groups of Jacobians.

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Two-vertex generators of Jacobians of graphs

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Counting arithmetical structures on paths and cycles

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Chip-firing groups of iterated cones

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The Smith and critical groups of Paley graphs

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Critical groups for homeomorphism classes of graphs

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The number of spanning trees of plane graphs with reflective symmetry

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On a Cohen-Lenstra heuristic for Jacobians of random graphs

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A Note on Jacobians, Tutte Polynomials, and Two-Variable Zeta Functions of Graphs

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The sand-pile model and Tutte polynomials

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On the sandpile group of dual graphs

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A tropical proof of the Brill-Noether theorem

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Arithmetical structures on graphs

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Arithmetical structures on graphs with connectivity one

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Gonality of random graphs

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The Smith and critical groups of the square rook's graph and its complement

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Gonality of expander graphs

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Introduction to Random Graphs

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Realization of groups with pairing as Jacobians of finite graphs

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Critical groups of graphs with dihedral actions

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Critical groups of iterated cones

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\(p\)-adic numbers: An introduction.

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On the sandpile group of the square cycle \(C^{2}_{n}\)

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Critical groups for complete multipartite graphs and Cartesian products of complete graphs

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Chip-firing on trees of loops

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Double exponential lower bound for the number of representations of unity by Egyptian fractions

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Sandpile groups and the coeulerian property for random directed graphs

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Brill-Noether theory of maximally symmetric graphs

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A Note on Brill–Noether Theory and Rank-Determining Sets for Metric Graphs

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Arithmetical graphs

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A finite group attached to the laplacian of a graph

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Smith normal form and Laplacians

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Orthogonal Matrices Over Finite Fields

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On the structure of the Jacobian group for circulant graphs

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The number of spanning trees in circulant graphs, its arithmetic properties and asymptotic

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Nondegenerate Symmetric Bilinear Forms on Finite Abelian 2-Groups

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Critical groups of covering, voltage and signed graphs

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On the Minimal Graph with a Given Number of Spanning Trees

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The monodromy pairing and discrete logarithm on the Jacobian of finite graphs

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Graphs, Vectors, and Matrices

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Smith normal form in combinatorics

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Quadratic forms on finite groups, and related topics

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The distribution of sandpile groups of random graphs

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Random integral matrices and the Cohen-Lenstra heuristics

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-37853-0_4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5118415

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