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Found 66 Documents (Results 1–66)

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Chip-firing games and critical groups. (English) Zbl 1447.05135

Harris, Pamela E. (ed.) et al., A project-based guide to undergraduate research in mathematics. Starting and sustaining accessible undergraduate research. Cham: Birkhäuser. Found. Undergrad. Res. Math., 107-152 (2020).
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On the structure of the critical group of a circulant graph with non-constant jumps. (English. Russian original) Zbl 1440.05114

Russ. Math. Surv. 75, No. 1, 190-192 (2020); translation from Usp. Mat. Nauk 75, No. 1, 197-198 (2020).
MSC:  05C25 39A10
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Applying the Kirchhoff relations in proofs of theorems on graph operations that do not affect the structure of the sandpile groups of graphs. (English. Russian original) Zbl 1371.05247

J. Math. Sci., New York 224, No. 2, 278-285 (2017); translation from Zap. Nauchn. Semin. POMI 448, 165-176 (2016).
MSC:  05C76 05C25 20K01
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Decomposing recurrent states of the abelian sandpile model. (English) Zbl 1356.05107

de Mier, Anna (ed.) et al., Discrete mathematical days. Extended abstracts of the 10th “Jornadas de matemática discreta y algorítmica” (JMDA), Barcelona, Spain, July 6–8, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 54, 97-102 (2016).
MSC:  05C70 05C75
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On the structure of the Jacobian group for circulant graphs. (English. Russian original) Zbl 1350.05061

Dokl. Math. 94, No. 1, 445-449 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 5, 539-543 (2016).
MSC:  05C25 05C21
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Random walks, electric networks and the transience class problem of sandpiles. (English) Zbl 1423.05157

Rabani, Yuval (ed.), Proceedings of the 23rd annual ACM-SIAM symposium on discrete algorithms, SODA 2012, Kyoto, Japan, January 17–19, 2012. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 1593-1611 (2012).
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