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Book review of: S. Corry and D. Perkinson, Divisors and sandpiles; C. J. Klivans, The mathematics of chip-firing. (English) Zbl 1437.00007
MSC:
00A17 External book reviews
05-02 Research exposition (monographs, survey articles) pertaining to combinatorics
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
05C05 Trees
05C85 Graph algorithms (graph-theoretic aspects)
05C57 Games on graphs (graph-theoretic aspects)
91A43 Games involving graphs
91A46 Combinatorial games
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References:
[1] Bak, P.; Tang, C.; Wiesenfeld, K., Self-organized criticality, Phys. Rev. A, 38, 1, 364-374 (1988) · Zbl 1230.37103
[2] Baker, M.; Norine, S., Riemann-Roch and Abel-Jacobi theory on a finite graph, Adv. Math, 215, 2, 766-788 (2007) · Zbl 1124.05049
[3] Biggs, N., Chip-firing and the critical group of a graph, J. Algebr. Combin., 9, 1, 25-45 (1999) · Zbl 0919.05027
[4] Cori, R.; Rossin, D.; Salvy, B., Polynomial ideals for sandpiles and their Gröbner bases, Theor. Comput. Sci, 276, 1, 1-15 (2002) · Zbl 1002.68105
[5] Duval, A.; Klivans, C.; Martin, J., Critical groups of simplicial complexes, Ann. Comb., 17, 1, 53-70 (2013) · Zbl 1263.05124
[6] Engel, A., The probabilistic abacus, Educ. Stud. Math, 6, 1, 1-22 (1975) · Zbl 0303.60056
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.