Lang, Moritz; Shkolnikov, Mikhail Sandpile monomorphisms and limits. (English) Zbl 07514678 C. R., Math., Acad. Sci. Paris 360, 333-341 (2022). MSC: 20K30 60K35 47D07 PDF BibTeX XML Cite \textit{M. Lang} and \textit{M. Shkolnikov}, C. R., Math., Acad. Sci. Paris 360, 333--341 (2022; Zbl 07514678) Full Text: DOI OpenURL
van Dobben de Bruyn, Josse; Smit, Harry; van der Wegen, Marieke Discrete and metric divisorial gonality can be different. (English) Zbl 07501786 J. Comb. Theory, Ser. A 189, Article ID 105619, 19 p. (2022). MSC: 05C57 05C62 91A43 14H25 14T99 PDF BibTeX XML Cite \textit{J. van Dobben de Bruyn} et al., J. Comb. Theory, Ser. A 189, Article ID 105619, 19 p. (2022; Zbl 07501786) Full Text: DOI OpenURL
Chan, Swee Hong; Levine, Lionel Abelian networks IV. Dynamics of nonhalting networks. (English) Zbl 07492816 Memoirs of the American Mathematical Society 1358. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5141-7/pbk; 978-1-4704-7024-1/ebook). vii, 89 p. (2022). MSC: 05C25 20K01 20M14 20M35 37B15 37E15 68Q80 82C20 PDF BibTeX XML Cite \textit{S. H. Chan} and \textit{L. Levine}, Abelian networks IV. Dynamics of nonhalting networks. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 07492816) Full Text: DOI arXiv OpenURL
Bou-Rabee, Ahmed Dynamic dimensional reduction in the abelian sandpile. (English) Zbl 07488564 Commun. Math. Phys. 390, No. 2, 933-958 (2022). MSC: 82Cxx 35Rxx 05Cxx PDF BibTeX XML Cite \textit{A. Bou-Rabee}, Commun. Math. Phys. 390, No. 2, 933--958 (2022; Zbl 07488564) Full Text: DOI arXiv OpenURL
Echavarria, Marino; Everett, Max; Huang, Robin; Jacoby, Liza; Morrison, Ralph; Weber, Ben On the scramble number of graphs. (English) Zbl 1482.05230 Discrete Appl. Math. 310, 43-59 (2022). MSC: 05C57 05C76 68Q17 68R10 91A43 PDF BibTeX XML Cite \textit{M. Echavarria} et al., Discrete Appl. Math. 310, 43--59 (2022; Zbl 1482.05230) Full Text: DOI arXiv OpenURL
Duncan, David L.; Engelbrecht, Wesley J. Characterizing immutable sandpiles: a first look. (English) Zbl 1476.05178 Discrete Math. 345, No. 1, Article ID 112657, 16 p. (2022). MSC: 05C78 05C25 82B20 PDF BibTeX XML Cite \textit{D. L. Duncan} and \textit{W. J. Engelbrecht}, Discrete Math. 345, No. 1, Article ID 112657, 16 p. (2022; Zbl 1476.05178) Full Text: DOI arXiv OpenURL
Dochtermann, Anton; King, Westin Trees, parking functions, and standard monomials of skeleton ideals. (English) Zbl 1482.05020 Australas. J. Comb. 81, Part 1, 126-151 (2021). MSC: 05A19 05C05 05A15 PDF BibTeX XML Cite \textit{A. Dochtermann} and \textit{W. King}, Australas. J. Comb. 81, Part 1, 126--151 (2021; Zbl 1482.05020) Full Text: arXiv Link OpenURL
Bou-Rabee, Ahmed Convergence of the random abelian sandpile. (English) Zbl 1482.35030 Ann. Probab. 49, No. 6, 3168-3196 (2021). MSC: 35B27 35D40 35J70 60K37 PDF BibTeX XML Cite \textit{A. Bou-Rabee}, Ann. Probab. 49, No. 6, 3168--3196 (2021; Zbl 1482.35030) Full Text: DOI arXiv OpenURL
Dantas, Christine C. Expanding and self-organizing 2D universe models emerging from frozen trivalent spin networks. (English) Zbl 1479.83248 Classical Quantum Gravity 38, No. 20, Article ID 205005, 18 p. (2021). MSC: 83F05 83C45 83C60 82C27 PDF BibTeX XML Cite \textit{C. C. Dantas}, Classical Quantum Gravity 38, No. 20, Article ID 205005, 18 p. (2021; Zbl 1479.83248) Full Text: DOI arXiv OpenURL
Dochtermann, Anton; Meyers, Eli; Samavedam, Rahgav; Yi, Alex Integral flow and cycle chip-firing on graphs. (English) Zbl 1472.05112 Ann. Comb. 25, No. 3, 595-616 (2021). MSC: 05C57 05C21 05C10 91A43 PDF BibTeX XML Cite \textit{A. Dochtermann} et al., Ann. Comb. 25, No. 3, 595--616 (2021; Zbl 1472.05112) Full Text: DOI arXiv OpenURL
Hough, Robert; Son, Hyojeong Cut-off for sandpiles on tiling graphs. (English) Zbl 1467.82045 Ann. Probab. 49, No. 2, 671-731 (2021). MSC: 82C20 82C41 82C27 05B45 60B15 60J10 PDF BibTeX XML Cite \textit{R. Hough} and \textit{H. Son}, Ann. Probab. 49, No. 2, 671--731 (2021; Zbl 1467.82045) Full Text: DOI arXiv OpenURL
Shapoval, Alexander; Savostianova, Dayana; Shnirman, Mikhail Predictability and scaling in a BTW sandpile on a self-similar lattice. (English) Zbl 1467.62186 J. Stat. Phys. 183, No. 1, Paper No. 14, 15 p. (2021). MSC: 82C20 82C27 PDF BibTeX XML Cite \textit{A. Shapoval} et al., J. Stat. Phys. 183, No. 1, Paper No. 14, 15 p. (2021; Zbl 1467.62186) Full Text: DOI OpenURL
Angel, Omer; Hutchcroft, Tom; Járai, Antal On the tail of the branching random walk local time. (English) Zbl 1475.60161 Probab. Theory Relat. Fields 180, No. 1-2, 467-494 (2021). Reviewer: Weiping Li (Guanghan) MSC: 60J80 60J55 PDF BibTeX XML Cite \textit{O. Angel} et al., Probab. Theory Relat. Fields 180, No. 1--2, 467--494 (2021; Zbl 1475.60161) Full Text: DOI arXiv OpenURL
Aidun, Ivan; Dean, Frances; Morrison, Ralph; Yu, Teresa; Yuan, Julie Gonality sequences of graphs. (English) Zbl 1460.14142 SIAM J. Discrete Math. 35, No. 2, 814-839 (2021). MSC: 14T15 14H51 05C25 05C57 05C85 PDF BibTeX XML Cite \textit{I. Aidun} et al., SIAM J. Discrete Math. 35, No. 2, 814--839 (2021; Zbl 1460.14142) Full Text: DOI arXiv OpenURL
Zhou, Yufang; Chen, Haiyan The sandpile group of a family of nearly complete graphs. (English) Zbl 1462.05181 Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 625-637 (2021). MSC: 05C25 05C76 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{H. Chen}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 625--637 (2021; Zbl 1462.05181) Full Text: DOI OpenURL
Járai, Antal A.; Sun, Minwei Asymptotic height distribution in high-dimensional sandpiles. (English) Zbl 1476.60180 J. Theor. Probab. 34, No. 1, 349-362 (2021). MSC: 60K35 82C20 PDF BibTeX XML Cite \textit{A. A. Járai} and \textit{M. Sun}, J. Theor. Probab. 34, No. 1, 349--362 (2021; Zbl 1476.60180) Full Text: DOI arXiv OpenURL
Gao, Yibo; Li, Rupert Compatible recurrent identities of the sandpile group and maximal stable configurations. (English) Zbl 1451.05172 Discrete Appl. Math. 288, 123-137 (2021). MSC: 05C69 05C35 05C76 PDF BibTeX XML Cite \textit{Y. Gao} and \textit{R. Li}, Discrete Appl. Math. 288, 123--137 (2021; Zbl 1451.05172) Full Text: DOI arXiv OpenURL
Hough, Robert; Son, Hyojeong The spectrum of the abelian sandpile model. (English) Zbl 1451.82035 Math. Comput. 90, No. 327, 441-469 (2021). MSC: 82C20 82C41 60B15 60J10 PDF BibTeX XML Cite \textit{R. Hough} and \textit{H. Son}, Math. Comput. 90, No. 327, 441--469 (2021; Zbl 1451.82035) Full Text: DOI arXiv OpenURL
Raza, Zahid; Jaradat, Mohammed M. M.; Bataineh, Mohammed S.; Ullah, Faiz On the sandpile model of modified wheels. II. (English) Zbl 1475.05084 Open Math. 18, 1531-1539 (2020). MSC: 05C25 05C05 05E18 05C50 PDF BibTeX XML Cite \textit{Z. Raza} et al., Open Math. 18, 1531--1539 (2020; Zbl 1475.05084) Full Text: DOI OpenURL
Bodlaender, Hans L.; van Dobben de Bruyn, Josse; Gijswijt, Dion; Smit, Harry Constructing tree decompositions of graphs with bounded gonality. (English) Zbl 07336120 Kim, Donghyun (ed.) et al., Computing and combinatorics. 26th international conference, COCOON 2020, Atlanta, GA, USA, August 29–31, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12273, 384-396 (2020). MSC: 68Rxx PDF BibTeX XML Cite \textit{H. L. Bodlaender} et al., Lect. Notes Comput. Sci. 12273, 384--396 (2020; Zbl 07336120) Full Text: DOI arXiv OpenURL
Aidun, Ivan; Morrison, Ralph On the gonality of Cartesian products of graphs. (English) Zbl 1466.05223 Electron. J. Comb. 27, No. 4, Research Paper P4.52, 35 p. (2020). MSC: 05E14 05C57 05C76 14T15 PDF BibTeX XML Cite \textit{I. Aidun} and \textit{R. Morrison}, Electron. J. Comb. 27, No. 4, Research Paper P4.52, 35 p. (2020; Zbl 1466.05223) Full Text: DOI arXiv OpenURL
Chen, Joe P.; Kudler-Flam, Jonah Laplacian growth and sandpiles on the Sierpiński gasket: limit shape universality and exact solutions. (English) Zbl 1454.05043 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 7, No. 4, 585-664 (2020). MSC: 05C20 05C81 05E18 28A80 31A15 37B15 60K05 82C24 PDF BibTeX XML Cite \textit{J. P. Chen} and \textit{J. Kudler-Flam}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 7, No. 4, 585--664 (2020; Zbl 1454.05043) Full Text: DOI arXiv OpenURL
Goles, Eric; Tsompanas, Michail-Antisthenis; Adamatzky, Andrew; Tegelaar, Martin; Wosten, Han A. B.; Martínez, Genaro J. Computational universality of fungal sandpile automata. (English) Zbl 1448.68238 Phys. Lett., A 384, No. 22, Article ID 126541, 7 p. (2020). MSC: 68Q07 68Q80 92C70 PDF BibTeX XML Cite \textit{E. Goles} et al., Phys. Lett., A 384, No. 22, Article ID 126541, 7 p. (2020; Zbl 1448.68238) Full Text: DOI arXiv OpenURL
Brauner, Sarah; Glebe, Forrest; Perkinson, David Enumerating linear systems on graphs. (English) Zbl 1457.05053 Math. Z. 296, No. 3-4, 1101-1134 (2020). Reviewer: Liangxia Wan (Beijing) MSC: 05C30 05C25 05C50 PDF BibTeX XML Cite \textit{S. Brauner} et al., Math. Z. 296, No. 3--4, 1101--1134 (2020; Zbl 1457.05053) Full Text: DOI arXiv OpenURL
Mosco, Umberto; Vivaldi, Maria Agostina On a discrete self-organized-criticality finite time result. (English) Zbl 1448.35297 Discrete Contin. Dyn. Syst. 40, No. 8, 5079-5103 (2020). MSC: 35K55 35A35 35K65 37L05 65M06 65M12 76T25 PDF BibTeX XML Cite \textit{U. Mosco} and \textit{M. A. Vivaldi}, Discrete Contin. Dyn. Syst. 40, No. 8, 5079--5103 (2020; Zbl 1448.35297) Full Text: DOI OpenURL
Járai, Antal A.; Ruszel, Wioletta M.; Saada, Ellen Mean-field avalanche size exponent for sandpiles on Galton-Watson trees. (English) Zbl 1434.60297 Probab. Theory Relat. Fields 177, No. 1-2, 369-396 (2020). MSC: 60K35 82C20 PDF BibTeX XML Cite \textit{A. A. Járai} et al., Probab. Theory Relat. Fields 177, No. 1--2, 369--396 (2020; Zbl 1434.60297) Full Text: DOI arXiv OpenURL
Bodewes, Jelco M.; Bodlaender, Hans L.; Cornelissen, Gunther; van der Wegen, Marieke Recognizing hyperelliptic graphs in polynomial time. (English) Zbl 1436.05105 Theor. Comput. Sci. 815, 121-146 (2020). MSC: 05C85 05C10 PDF BibTeX XML Cite \textit{J. M. Bodewes} et al., Theor. Comput. Sci. 815, 121--146 (2020; Zbl 1436.05105) Full Text: DOI OpenURL
Kim, Seungki; Wang, Yuntao A stochastic variant of the abelian sandpile model. (English) Zbl 1475.82005 J. Stat. Phys. 178, No. 3, 711-724 (2020). MSC: 82B20 05C90 PDF BibTeX XML Cite \textit{S. Kim} and \textit{Y. Wang}, J. Stat. Phys. 178, No. 3, 711--724 (2020; Zbl 1475.82005) Full Text: DOI arXiv OpenURL
Hutchcroft, Tom Universality of high-dimensional spanning forests and sandpiles. (English) Zbl 1434.60296 Probab. Theory Relat. Fields 176, No. 1-2, 533-597 (2020). MSC: 60K35 82B20 PDF BibTeX XML Cite \textit{T. Hutchcroft}, Probab. Theory Relat. Fields 176, No. 1--2, 533--597 (2020; Zbl 1434.60296) Full Text: DOI arXiv OpenURL
Járai, Antal A.; Sun, Minwei Toppling and height probabilities in sandpiles. (English) Zbl 1457.82077 J. Stat. Mech. Theory Exp. 2019, No. 11, Article ID 113204, 26 p. (2019). MSC: 82B20 PDF BibTeX XML Cite \textit{A. A. Járai} and \textit{M. Sun}, J. Stat. Mech. Theory Exp. 2019, No. 11, Article ID 113204, 26 p. (2019; Zbl 1457.82077) Full Text: DOI OpenURL
Holroyd, Alexander E.; Levine, Lionel; Winkler, Peter Abelian logic gates. (English) Zbl 1433.68138 Comb. Probab. Comput. 28, No. 3, 388-422 (2019). MSC: 68Q06 68Q10 68Q45 PDF BibTeX XML Cite \textit{A. E. Holroyd} et al., Comb. Probab. Comput. 28, No. 3, 388--422 (2019; Zbl 1433.68138) Full Text: DOI arXiv OpenURL
Derycke, Henri; Le Borgne, Yvan Restricted Tutte polynomials for some periodic oriented forests on infinite square lattice. (English) Zbl 1436.05051 Sémin. Lothar. Comb. 82B, 82B.51, 12 p. (2019). MSC: 05C31 05C05 PDF BibTeX XML Cite \textit{H. Derycke} and \textit{Y. Le Borgne}, Sémin. Lothar. Comb. 82B, 82B.51, 12 p. (2019; Zbl 1436.05051) Full Text: Link OpenURL
Zhilyakova, Lyudmila Yu. Resource allocation among attractor vertices in asymmetric regular resource networks. (English. Russian original) Zbl 1431.93029 Autom. Remote Control 80, No. 8, 1519-1540 (2019); translation from Upravl. Bol’sh. Sist. 2016, No. 60, 82-118 (2016). MSC: 93B70 91B32 PDF BibTeX XML Cite \textit{L. Yu. Zhilyakova}, Autom. Remote Control 80, No. 8, 1519--1540 (2019; Zbl 1431.93029); translation from Upravl. Bol'sh. Sist. 2016, No. 60, 82--118 (2016) Full Text: DOI OpenURL
Chan, Swee Hong Rotor walks on transient graphs and the wired spanning forest. (English) Zbl 1428.05287 SIAM J. Discrete Math. 33, No. 4, 2369-2393 (2019). MSC: 05C81 82B41 82C20 PDF BibTeX XML Cite \textit{S. H. Chan}, SIAM J. Discrete Math. 33, No. 4, 2369--2393 (2019; Zbl 1428.05287) Full Text: DOI arXiv OpenURL
Aidun, Ivan; Dean, Frances; Morrison, Ralph; Yu, Teresa; Yuan, Julie Graphs of gonality three. (English) Zbl 1441.14203 Algebr. Comb. 2, No. 6, 1197-1217 (2019); erratum ibid. 3, No. 3, 801-803 (2020). MSC: 14T15 05C05 05C57 PDF BibTeX XML Cite \textit{I. Aidun} et al., Algebr. Comb. 2, No. 6, 1197--1217 (2019; Zbl 1441.14203) Full Text: DOI arXiv OpenURL
Jerison, Daniel C.; Levine, Lionel; Pike, John Mixing time and eigenvalues of the abelian sandpile Markov chain. (English) Zbl 1472.60119 Trans. Am. Math. Soc. 372, No. 12, 8307-8345 (2019). MSC: 60J10 82C20 05C50 PDF BibTeX XML Cite \textit{D. C. Jerison} et al., Trans. Am. Math. Soc. 372, No. 12, 8307--8345 (2019; Zbl 1472.60119) Full Text: DOI arXiv OpenURL
Chen, Haiyan; Mohar, Bojan The sandpile group of a polygon flower. (English) Zbl 1426.05015 Discrete Appl. Math. 270, 68-82 (2019). MSC: 05C10 PDF BibTeX XML Cite \textit{H. Chen} and \textit{B. Mohar}, Discrete Appl. Math. 270, 68--82 (2019; Zbl 1426.05015) Full Text: DOI arXiv OpenURL
Tonnelier, Arnaud Signal propagations along excitable chains. (English) Zbl 1474.37102 SIAM J. Appl. Dyn. Syst. 18, No. 3, 1391-1419 (2019). MSC: 37L60 35C07 PDF BibTeX XML Cite \textit{A. Tonnelier}, SIAM J. Appl. Dyn. Syst. 18, No. 3, 1391--1419 (2019; Zbl 1474.37102) Full Text: DOI Link OpenURL
Pantangi, Venkata Raghu Tej Critical groups of Van Lint-Schrijver cyclotomic strongly regular graphs. (English) Zbl 1421.05098 Finite Fields Appl. 59, 32-56 (2019). MSC: 05E30 05C50 05C25 15A21 PDF BibTeX XML Cite \textit{V. R. T. Pantangi}, Finite Fields Appl. 59, 32--56 (2019; Zbl 1421.05098) Full Text: DOI arXiv OpenURL
Dukes, Mark; Selig, Thomas; Smith, Jason P.; Steingrímsson, Einar Permutation graphs and the abelian sandpile model, tiered trees and non-ambiguous binary trees. (English) Zbl 1418.05051 Electron. J. Comb. 26, No. 3, Research Paper P3.29, 25 p. (2019). MSC: 05C05 82C20 PDF BibTeX XML Cite \textit{M. Dukes} et al., Electron. J. Comb. 26, No. 3, Research Paper P3.29, 25 p. (2019; Zbl 1418.05051) Full Text: arXiv Link OpenURL
Pantangi, Venkata Raghu Tej; Sin, Peter Smith and critical groups of polar graphs. (English) Zbl 1417.05122 J. Comb. Theory, Ser. A 167, 460-498 (2019). MSC: 05C50 PDF BibTeX XML Cite \textit{V. R. T. Pantangi} and \textit{P. Sin}, J. Comb. Theory, Ser. A 167, 460--498 (2019; Zbl 1417.05122) Full Text: DOI arXiv OpenURL
Galashin, Pavel; Hopkins, Sam; McConville, Thomas; Postnikov, Alexander Root system chip-firing. I: Interval-firing. (English) Zbl 1440.17006 Math. Z. 292, No. 3-4, 1337-1385 (2019). MSC: 17B22 52B20 05C57 PDF BibTeX XML Cite \textit{P. Galashin} et al., Math. Z. 292, No. 3--4, 1337--1385 (2019; Zbl 1440.17006) Full Text: DOI arXiv OpenURL
Hough, Robert D.; Jerison, Daniel C.; Levine, Lionel Sandpiles on the square lattice. (English) Zbl 1419.82014 Commun. Math. Phys. 367, No. 1, 33-87 (2019). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 82B27 PDF BibTeX XML Cite \textit{R. D. Hough} et al., Commun. Math. Phys. 367, No. 1, 33--87 (2019; Zbl 1419.82014) Full Text: DOI arXiv OpenURL
Liao, Yunhua; Xie, Xiaoliang; Hou, Yaoping; Aziz-Alaoui, M. A. Tutte polynomials of two self-similar network models. (English) Zbl 1412.82011 J. Stat. Phys. 174, No. 4, 893-905 (2019). MSC: 82B20 05C05 05C82 05C31 PDF BibTeX XML Cite \textit{Y. Liao} et al., J. Stat. Phys. 174, No. 4, 893--905 (2019; Zbl 1412.82011) Full Text: DOI OpenURL
Galashin, Pavel; Hopkins, Sam; McConville, Thomas; Postnikov, Alexander Root system chip-firing. (English) Zbl 1411.05183 Sémin. Lothar. Comb. 80B, 80B.21, 12 p. (2018). MSC: 05C57 91A43 17B22 PDF BibTeX XML Cite \textit{P. Galashin} et al., Sémin. Lothar. Comb. 80B, 80B.21, 12 p. (2018; Zbl 1411.05183) Full Text: Link OpenURL
Benkart, Georgia; Klivans, Caroline; Reiner, Victor Chip firing on Dynkin diagrams and McKay quivers. (English) Zbl 1448.17015 Math. Z. 290, No. 1-2, 615-648 (2018). MSC: 17B22 05E10 14E16 PDF BibTeX XML Cite \textit{G. Benkart} et al., Math. Z. 290, No. 1--2, 615--648 (2018; Zbl 1448.17015) Full Text: DOI arXiv OpenURL
Austin, Demara; Chambers, Megan; Funke, Rebecca; Puente, Luis David García; Keough, Lauren The multivariate avalanche polynomial. (English) Zbl 1405.05085 Australas. J. Comb. 72, Part 3, 421-445 (2018). MSC: 05C31 PDF BibTeX XML Cite \textit{D. Austin} et al., Australas. J. Comb. 72, Part 3, 421--445 (2018; Zbl 1405.05085) Full Text: Link OpenURL
Gaudet, Louis; Jensen, David; Ranganathan, Dhruv; Wawrykow, Nicholas; Weisman, Theodore Realization of groups with pairing as Jacobians of finite graphs. (English) Zbl 1403.05060 Ann. Comb. 22, No. 4, 781-801 (2018). MSC: 05C25 14T05 PDF BibTeX XML Cite \textit{L. Gaudet} et al., Ann. Comb. 22, No. 4, 781--801 (2018; Zbl 1403.05060) Full Text: DOI arXiv OpenURL
Sin, Peter The critical groups of the Peisert graphs. (English) Zbl 1460.05118 J. Algebr. Comb. 48, No. 2, 227-245 (2018). MSC: 05C50 05E30 15A21 PDF BibTeX XML Cite \textit{P. Sin}, J. Algebr. Comb. 48, No. 2, 227--245 (2018; Zbl 1460.05118) Full Text: DOI arXiv OpenURL
Járai, Antal A. The sandpile cellular automaton. (English) Zbl 1402.37018 Louis, Pierre-Yves (ed.) et al., Probabilistic cellular automata. Theory, applications and future perspectives. Cham: Springer (ISBN 978-3-319-65556-7/hbk; 978-3-319-65558-1/ebook). Emergence, Complexity and Computation 27, 79-88 (2018). MSC: 37B15 PDF BibTeX XML Cite \textit{A. A. Járai}, Emerg. Complex. Comput. 27, 79--88 (2018; Zbl 1402.37018) Full Text: DOI OpenURL
Cipriani, Alessandra; Hazra, Rajat Subhra; Ruszel, Wioletta M. Scaling limit of the odometer in divisible sandpiles. (English) Zbl 1403.31001 Probab. Theory Relat. Fields 172, No. 3-4, 829-868 (2018). MSC: 31B30 60J45 60G15 82C20 PDF BibTeX XML Cite \textit{A. Cipriani} et al., Probab. Theory Relat. Fields 172, No. 3--4, 829--868 (2018; Zbl 1403.31001) Full Text: DOI arXiv OpenURL
Nguyen, Hoang Thach; Tran, Thi Thu Huong A maximizing characteristic for critical configurations of chip-firing games on digraphs. (English) Zbl 1398.05136 Discrete Appl. Math. 250, 38-46 (2018). MSC: 05C57 05C20 91A43 PDF BibTeX XML Cite \textit{H. T. Nguyen} and \textit{T. T. H. Tran}, Discrete Appl. Math. 250, 38--46 (2018; Zbl 1398.05136) Full Text: DOI arXiv OpenURL
Atanasov, Stanislav; Ranganathan, Dhruv A note on Brill-Noether existence for graphs of low genus. (English) Zbl 1420.14134 Mich. Math. J. 67, No. 1, 175-198 (2018). MSC: 14T05 14H51 PDF BibTeX XML Cite \textit{S. Atanasov} and \textit{D. Ranganathan}, Mich. Math. J. 67, No. 1, 175--198 (2018; Zbl 1420.14134) Full Text: DOI arXiv Euclid OpenURL
D’Adderio, Michele; Le Borgne, Yvan The sandpile model on \(K_{m,n}\) and the rank of its configurations. (English) Zbl 1396.05106 Sémin. Lothar. Comb. 77(2016-2018), B77h, 48 p. (2018). MSC: 05C85 68Q25 PDF BibTeX XML Cite \textit{M. D'Adderio} and \textit{Y. Le Borgne}, Sémin. Lothar. Comb. 77, B77h, 48 p. (2018; Zbl 1396.05106) Full Text: arXiv Link OpenURL
Járai, Antal A. Sandpile models. (English) Zbl 1409.60144 Probab. Surv. 15, 243-306 (2018). MSC: 60K35 82B20 PDF BibTeX XML Cite \textit{A. A. Járai}, Probab. Surv. 15, 243--306 (2018; Zbl 1409.60144) Full Text: DOI arXiv Euclid OpenURL
Dong, Fengming From G-parking functions to B-parking functions. (English) Zbl 1394.05016 J. Comb. Theory, Ser. A 160, 84-110 (2018). MSC: 05C05 05C40 PDF BibTeX XML Cite \textit{F. Dong}, J. Comb. Theory, Ser. A 160, 84--110 (2018; Zbl 1394.05016) Full Text: DOI arXiv OpenURL
Braun, Benjamin; Corrales, Hugo; Corry, Scott; Puente, Luis David García; Glass, Darren; Kaplan, Nathan; L. Martin, Jeremy; Musiker, Gregg; Valencia, Carlos E. Counting arithmetical structures on paths and cycles. (English) Zbl 1393.05152 Discrete Math. 341, No. 10, 2949-2963 (2018). MSC: 05C30 05C38 05C40 PDF BibTeX XML Cite \textit{B. Braun} et al., Discrete Math. 341, No. 10, 2949--2963 (2018; Zbl 1393.05152) Full Text: DOI arXiv OpenURL
Selig, Thomas; Smith, Jason P.; Steingrímsson, Einar EW-tableaux, Le-tableaux, tree-like tableaux and the abelian sandpile model. (English) Zbl 1393.05054 Electron. J. Comb. 25, No. 3, Research Paper P3.14, 32 p. (2018). MSC: 05A19 05A05 05A15 60J10 PDF BibTeX XML Cite \textit{T. Selig} et al., Electron. J. Comb. 25, No. 3, Research Paper P3.14, 32 p. (2018; Zbl 1393.05054) Full Text: arXiv Link OpenURL
Dutta, Neelav; Jensen, David Gonality of expander graphs. (English) Zbl 1392.05099 Discrete Math. 341, No. 9, 2535-2543 (2018). MSC: 05C80 PDF BibTeX XML Cite \textit{N. Dutta} and \textit{D. Jensen}, Discrete Math. 341, No. 9, 2535--2543 (2018; Zbl 1392.05099) Full Text: DOI arXiv OpenURL
Redig, Frank; Ruszel, Wioletta M.; Saada, Ellen Non-criticality criteria for abelian sandpile models with sources and sinks. (English) Zbl 1400.82080 J. Math. Phys. 59, No. 6, 063302, 15 p. (2018). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B26 82B27 05C05 82B41 PDF BibTeX XML Cite \textit{F. Redig} et al., J. Math. Phys. 59, No. 6, 063302, 15 p. (2018; Zbl 1400.82080) Full Text: DOI arXiv Link OpenURL
Najafi, M. N. Coupling of \(c = -2\) and \(c =\frac{1}{2}\) and \(c = 0\) conformal field theories: the geometrical point of view. (English) Zbl 1395.82054 J. Phys. A, Math. Theor. 51, No. 17, Article ID 175001, 11 p. (2018). MSC: 82B20 82B43 82B41 81T40 PDF BibTeX XML Cite \textit{M. N. Najafi}, J. Phys. A, Math. Theor. 51, No. 17, Article ID 175001, 11 p. (2018; Zbl 1395.82054) Full Text: DOI arXiv OpenURL
Jekel, David; Levy, Avi; Dana, Will; Stromme, Austin; Litterell, Collin Algebraic properties of generalized graph Laplacians: resistor networks, critical groups, and homological algebra. (English) Zbl 1387.05153 SIAM J. Discrete Math. 32, No. 2, 1040-1110 (2018). MSC: 05C50 05C76 18G15 39A12 94C05 PDF BibTeX XML Cite \textit{D. Jekel} et al., SIAM J. Discrete Math. 32, No. 2, 1040--1110 (2018; Zbl 1387.05153) Full Text: DOI arXiv OpenURL
Hutchcroft, Tom Interlacements and the wired uniform spanning forest. (English) Zbl 1391.60021 Ann. Probab. 46, No. 2, 1170-1200 (2018). Reviewer: Viktor Ohanyan (Erevan) MSC: 60C05 60B99 05C80 PDF BibTeX XML Cite \textit{T. Hutchcroft}, Ann. Probab. 46, No. 2, 1170--1200 (2018; Zbl 1391.60021) Full Text: DOI arXiv Euclid OpenURL
Dukes, Mark; Selig, Thomas Decomposing recurrent states of the Abelian sandpile model. (English) Zbl 1384.05099 Sémin. Lothar. Comb. 77(2016-2018), B77g, 25 p. (2018). MSC: 05C31 05C70 60J10 PDF BibTeX XML Cite \textit{M. Dukes} and \textit{T. Selig}, Sémin. Lothar. Comb. 77, B77g, 25 p. (2018; Zbl 1384.05099) Full Text: Link OpenURL
Poncelet, Adrien; Ruelle, Philippe Sandpile probabilities on triangular and hexagonal lattices. (English) Zbl 1387.74033 J. Phys. A, Math. Theor. 51, No. 1, Article ID 015002, 25 p. (2018). MSC: 74E20 76T25 70S20 05C05 PDF BibTeX XML Cite \textit{A. Poncelet} and \textit{P. Ruelle}, J. Phys. A, Math. Theor. 51, No. 1, Article ID 015002, 25 p. (2018; Zbl 1387.74033) Full Text: DOI arXiv OpenURL
Chan, Swee Hong Abelian sandpile model and Biggs-Merino polynomial for directed graphs. (English) Zbl 1373.05075 J. Comb. Theory, Ser. A 154, 145-171 (2018). MSC: 05C20 05C31 PDF BibTeX XML Cite \textit{S. H. Chan}, J. Comb. Theory, Ser. A 154, 145--171 (2018; Zbl 1373.05075) Full Text: DOI arXiv OpenURL
Levine, Lionel; Peres, Yuval Laplacian growth, sandpiles, and scaling limits. (English) Zbl 1451.37013 Bull. Am. Math. Soc., New Ser. 54, No. 3, 355-382 (2017). MSC: 37A50 37A60 31C20 35R02 35R35 60G50 60K35 82C24 PDF BibTeX XML Cite \textit{L. Levine} and \textit{Y. Peres}, Bull. Am. Math. Soc., New Ser. 54, No. 3, 355--382 (2017; Zbl 1451.37013) Full Text: DOI arXiv OpenURL
Wu, Xiaoxia; Zhang, Lianzhu; Chen, Haiyan Spanning trees and recurrent configurations of a graph. (English) Zbl 1426.05145 Appl. Math. Comput. 314, 25-30 (2017). MSC: 05C75 05A15 05C05 05C12 PDF BibTeX XML Cite \textit{X. Wu} et al., Appl. Math. Comput. 314, 25--30 (2017; Zbl 1426.05145) Full Text: DOI OpenURL
Hopkins, Sam; McConville, Thomas; Propp, Jim Sorting via chip-firing. (English) Zbl 1384.05117 Sémin. Lothar. Comb. 78B, 78B.30, 12 p. (2017). MSC: 05C63 05C78 PDF BibTeX XML Cite \textit{S. Hopkins} et al., Sémin. Lothar. Comb. 78B, 78B.30, 12 p. (2017; Zbl 1384.05117) Full Text: Link OpenURL
Backman, Spencer; Hopkins, Sam Fourientations and the Tutte polynomial. (English) Zbl 1371.05132 Res. Math. Sci. 4, Paper No. 18, 57 p. (2017). MSC: 05C31 PDF BibTeX XML Cite \textit{S. Backman} and \textit{S. Hopkins}, Res. Math. Sci. 4, Paper No. 18, 57 p. (2017; Zbl 1371.05132) Full Text: DOI arXiv OpenURL
Krepkiy, I. A. 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 PDF BibTeX XML Cite \textit{I. A. Krepkiy}, J. Math. Sci., New York 224, No. 2, 278--285 (2017; Zbl 1371.05247); translation from Zap. Nauchn. Semin. POMI 448, 165--176 (2016) Full Text: DOI OpenURL
Hopkins, Sam; McConville, Thomas; Propp, James Sorting via chip-firing. (English) Zbl 1369.05148 Electron. J. Comb. 24, No. 3, Research Paper P3.13, 20 p. (2017). MSC: 05C57 05C82 68R10 91A43 PDF BibTeX XML Cite \textit{S. Hopkins} et al., Electron. J. Comb. 24, No. 3, Research Paper P3.13, 20 p. (2017; Zbl 1369.05148) Full Text: arXiv Link OpenURL
Levine, Lionel; Pegden, Wesley; Smart, Charles K. The Apollonian structure of integer superharmonic matrices. (English) Zbl 1457.52018 Ann. Math. (2) 186, No. 1, 1-67 (2017). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 52C26 82C27 35D40 31C05 PDF BibTeX XML Cite \textit{L. Levine} et al., Ann. Math. (2) 186, No. 1, 1--67 (2017; Zbl 1457.52018) Full Text: DOI arXiv OpenURL
Matchett Wood, Melanie The distribution of sandpile groups of random graphs. (English) Zbl 1366.05098 J. Am. Math. Soc. 30, No. 4, 915-958 (2017). MSC: 05C80 15B52 60B20 PDF BibTeX XML Cite \textit{M. Matchett Wood}, J. Am. Math. Soc. 30, No. 4, 915--958 (2017; Zbl 1366.05098) Full Text: DOI arXiv OpenURL
Perrot, Kévin; Rémila, Eric Strong emergence of wave patterns on Kadanoff sandpiles. (English) Zbl 1373.82025 Electron. J. Comb. 24, No. 2, Research Paper P2.4, 30 p. (2017). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 05C50 PDF BibTeX XML Cite \textit{K. Perrot} and \textit{E. Rémila}, Electron. J. Comb. 24, No. 2, Research Paper P2.4, 30 p. (2017; Zbl 1373.82025) Full Text: arXiv Link OpenURL
Backman, Spencer Riemann-Roch theory for graph orientations. (English) Zbl 1355.05140 Adv. Math. 309, 655-691 (2017). MSC: 05C38 05C25 14H15 PDF BibTeX XML Cite \textit{S. Backman}, Adv. Math. 309, 655--691 (2017; Zbl 1355.05140) Full Text: DOI arXiv OpenURL
Kalinin, Nikita; Shkolnikov, Mikhail Tropical curves in sandpiles. (English. French summary) Zbl 1366.05127 C. R., Math., Acad. Sci. Paris 354, No. 2, 125-130 (2016). MSC: 05E45 14T05 52B05 52B20 PDF BibTeX XML Cite \textit{N. Kalinin} and \textit{M. Shkolnikov}, C. R., Math., Acad. Sci. Paris 354, No. 2, 125--130 (2016; Zbl 1366.05127) Full Text: DOI arXiv OpenURL
Jensen, David The locus of Brill-Noether general graphs is not dense. (English) Zbl 1375.14213 Port. Math. (N.S.) 73, No. 3, 177-182 (2016). MSC: 14T05 14H51 PDF BibTeX XML Cite \textit{D. Jensen}, Port. Math. (N.S.) 73, No. 3, 177--182 (2016; Zbl 1375.14213) Full Text: DOI arXiv OpenURL
Shirai, Tomoyuki; Verbitskiy, Evgeny Solvable and algebraic systems on infinite ladder. (English) Zbl 1368.37082 Indag. Math., New Ser. 27, No. 5, 1162-1183 (2016). MSC: 37K60 60K35 82B20 37E25 PDF BibTeX XML Cite \textit{T. Shirai} and \textit{E. Verbitskiy}, Indag. Math., New Ser. 27, No. 5, 1162--1183 (2016; Zbl 1368.37082) Full Text: DOI OpenURL
Baker, Matthew; Jensen, David Degeneration of linear series from the tropical point of view and applications. (English) Zbl 1349.14193 Baker, Matthew (ed.) et al., Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). Simons Symposia, 365-433 (2016). MSC: 14T05 14C20 14H51 PDF BibTeX XML Cite \textit{M. Baker} and \textit{D. Jensen}, in: Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 -- April 6, 2013 and Puerto Rico, February 1--7, 2015. Cham: Springer. 365--433 (2016; Zbl 1349.14193) Full Text: DOI arXiv OpenURL
Poghosyan, V. S.; Priezzhev, V. B. Fundamental constants in the theory of two-dimensional uniform spanning trees. (English. Russian original) Zbl 1346.82010 Theor. Math. Phys. 187, No. 3, 952-963 (2016); translation from Teor. Mat. Fiz. 187, No. 3, 580-594 (2016). MSC: 82B20 60G50 82B41 PDF BibTeX XML Cite \textit{V. S. Poghosyan} and \textit{V. B. Priezzhev}, Theor. Math. Phys. 187, No. 3, 952--963 (2016; Zbl 1346.82010); translation from Teor. Mat. Fiz. 187, No. 3, 580--594 (2016) Full Text: DOI OpenURL
Gaydarov, Petar; Hopkins, Sam Parking functions and tree inversions revisited. (English) Zbl 1344.05022 Adv. Appl. Math. 80, 151-179 (2016). MSC: 05A19 05C57 05E18 05C05 05C30 PDF BibTeX XML Cite \textit{P. Gaydarov} and \textit{S. Hopkins}, Adv. Appl. Math. 80, 151--179 (2016; Zbl 1344.05022) Full Text: DOI arXiv OpenURL
Cori, Robert; Petrullo, Pasquale; Senato, Domenico Hall-Littlewood symmetric functions via the chip-firing game. (English) Zbl 1343.05101 Eur. J. Comb. 58, 225-237 (2016). MSC: 05C57 05E05 05C40 05E10 91A43 PDF BibTeX XML Cite \textit{R. Cori} et al., Eur. J. Comb. 58, 225--237 (2016; Zbl 1343.05101) Full Text: DOI OpenURL
Levine, Lionel; Murugan, Mathav; Peres, Yuval; Ugurcan, Baris Evren The divisible sandpile at critical density. (English) Zbl 1361.60094 Ann. Henri Poincaré 17, No. 7, 1677-1711 (2016). MSC: 60K35 60G15 60G60 82B27 82B26 82D25 37B15 PDF BibTeX XML Cite \textit{L. Levine} et al., Ann. Henri Poincaré 17, No. 7, 1677--1711 (2016; Zbl 1361.60094) Full Text: DOI arXiv OpenURL
Levine, Lionel; Pegden, Wesley; Smart, Charles K. Apollonian structure in the abelian sandpile. (English) Zbl 1341.60129 Geom. Funct. Anal. 26, No. 1, 306-336 (2016). MSC: 60K35 35R35 35D40 PDF BibTeX XML Cite \textit{L. Levine} et al., Geom. Funct. Anal. 26, No. 1, 306--336 (2016; Zbl 1341.60129) Full Text: DOI arXiv Link OpenURL
Bond, Benjamin; Levine, Lionel Abelian networks. III: The critical group. (English) Zbl 1336.05057 J. Algebr. Comb. 43, No. 3, 635-663 (2016). MSC: 05C25 05C50 20M14 20M35 68Q10 PDF BibTeX XML Cite \textit{B. Bond} and \textit{L. Levine}, J. Algebr. Comb. 43, No. 3, 635--663 (2016; Zbl 1336.05057) Full Text: DOI arXiv OpenURL
Guzmán, Johnny; Klivans, Caroline Chip firing on general invertible matrices. (English) Zbl 1336.05088 SIAM J. Discrete Math. 30, No. 2, 1115-1127 (2016). MSC: 05C50 15B36 05E45 11H06 PDF BibTeX XML Cite \textit{J. Guzmán} and \textit{C. Klivans}, SIAM J. Discrete Math. 30, No. 2, 1115--1127 (2016; Zbl 1336.05088) Full Text: DOI arXiv OpenURL
Mohammadi, Fatemeh; Shokrieh, Farbod Divisors on graphs, binomial and monomial ideals, and cellular resolutions. (English) Zbl 1336.05060 Math. Z. 283, No. 1-2, 59-102 (2016). MSC: 05C25 05B35 PDF BibTeX XML Cite \textit{F. Mohammadi} and \textit{F. Shokrieh}, Math. Z. 283, No. 1--2, 59--102 (2016; Zbl 1336.05060) Full Text: DOI arXiv Link OpenURL
Bond, Benjamin; Levine, Lionel Abelian networks. I: Foundations and examples. (English) Zbl 1356.68072 SIAM J. Discrete Math. 30, No. 2, 856-874 (2016). Reviewer: Damas Gruska (Bratislava) MSC: 68Q10 37B15 68Q45 90C10 PDF BibTeX XML Cite \textit{B. Bond} and \textit{L. Levine}, SIAM J. Discrete Math. 30, No. 2, 856--874 (2016; Zbl 1356.68072) Full Text: DOI arXiv OpenURL
Farrell, Matthew; Levine, Lionel CoEulerian graphs. (English) Zbl 1334.05025 Proc. Am. Math. Soc. 144, No. 7, 2847-2860 (2016). MSC: 05C05 05C20 05C45 05C50 68Q25 PDF BibTeX XML Cite \textit{M. Farrell} and \textit{L. Levine}, Proc. Am. Math. Soc. 144, No. 7, 2847--2860 (2016; Zbl 1334.05025) Full Text: DOI arXiv OpenURL
Mohammadi, Fatemeh Divisors on graphs, orientations, syzygies, and system reliability. (English) Zbl 1331.05122 J. Algebr. Comb. 43, No. 2, 465-483 (2016). MSC: 05C40 13D02 05E40 13A02 13P10 PDF BibTeX XML Cite \textit{F. Mohammadi}, J. Algebr. Comb. 43, No. 2, 465--483 (2016; Zbl 1331.05122) Full Text: DOI arXiv OpenURL
Cori, Robert; Le Borgne, Yvan On computation of Baker and Norine’s rank on complete graphs. (English) Zbl 1331.05117 Electron. J. Comb. 23, No. 1, Research Paper P1.31, 47 p. (2016). MSC: 05C38 05C25 14H55 PDF BibTeX XML Cite \textit{R. Cori} and \textit{Y. Le Borgne}, Electron. J. Comb. 23, No. 1, Research Paper P1.31, 47 p. (2016; Zbl 1331.05117) Full Text: Link OpenURL
Ma, Jun; Yeh, Yeong-Nan Parking functions on nonsingular \(M\)-matrices. (English) Zbl 1327.05156 Linear Algebra Appl. 489, 1-14 (2016). MSC: 05C30 05C05 PDF BibTeX XML Cite \textit{J. Ma} and \textit{Y.-N. Yeh}, Linear Algebra Appl. 489, 1--14 (2016; Zbl 1327.05156) Full Text: DOI OpenURL
Cartwright, Dustin Lifting matroid divisors on tropical curves. (English) Zbl 1349.14194 Res. Math. Sci. 2, Paper No. 23, 24 p. (2015). MSC: 14T05 05B35 PDF BibTeX XML Cite \textit{D. Cartwright}, Res. Math. Sci. 2, Paper No. 23, 24 p. (2015; Zbl 1349.14194) Full Text: DOI arXiv OpenURL
Zhilyakova, Ludmila Yu. Dynamic graph models and their properties. (English. Russian original) Zbl 1384.90018 Autom. Remote Control 76, No. 8, 1417-1435 (2015); translation from Avtom. Telemekh. 2015, No. 8, 115-139 (2015). MSC: 90B10 68R10 PDF BibTeX XML Cite \textit{L. Yu. Zhilyakova}, Autom. Remote Control 76, No. 8, 1417--1435 (2015; Zbl 1384.90018); translation from Avtom. Telemekh. 2015, No. 8, 115--139 (2015) Full Text: DOI OpenURL
Ayyer, Arvind A statistical model of current loops and magnetic monopoles. (English) Zbl 1332.82007 Math. Phys. Anal. Geom. 18, No. 1, Article ID 16, 19 p. (2015). MSC: 82B05 82B20 05C70 33C20 33C75 PDF BibTeX XML Cite \textit{A. Ayyer}, Math. Phys. Anal. Geom. 18, No. 1, Article ID 16, 19 p. (2015; Zbl 1332.82007) Full Text: DOI arXiv OpenURL
Kuznetsov, O. P. Complex networks and activity spreading. (English. Russian original) Zbl 1332.93042 Autom. Remote Control 76, No. 12, 2091-2109 (2015); translation from Avtom. Telemekh. 2015, No. 12, 3-26 (2015). MSC: 93A15 94C15 05C80 PDF BibTeX XML Cite \textit{O. P. Kuznetsov}, Autom. Remote Control 76, No. 12, 2091--2109 (2015; Zbl 1332.93042); translation from Avtom. Telemekh. 2015, No. 12, 3--26 (2015) Full Text: DOI OpenURL
Kaspar, David C.; Mungan, Muhittin Exact results for a toy model exhibiting dynamic criticality. (English) Zbl 1342.82034 Ann. Henri Poincaré 16, No. 12, 2837-2879 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 82B20 PDF BibTeX XML Cite \textit{D. C. Kaspar} and \textit{M. Mungan}, Ann. Henri Poincaré 16, No. 12, 2837--2879 (2015; Zbl 1342.82034) Full Text: DOI arXiv OpenURL
Kassel, Adrien; Wu, Wei Transfer current and pattern fields in spanning trees. (English) Zbl 1328.60216 Probab. Theory Relat. Fields 163, No. 1-2, 89-121 (2015). MSC: 60K35 60G15 60F05 82B20 PDF BibTeX XML Cite \textit{A. Kassel} and \textit{W. Wu}, Probab. Theory Relat. Fields 163, No. 1--2, 89--121 (2015; Zbl 1328.60216) Full Text: DOI arXiv OpenURL
Zhuang, Wei; Yang, Weihua; Zhang, Lianzhu; Guo, Xiaofeng Properties of chip-firing games on complete graphs. (English) Zbl 1322.05096 Bull. Malays. Math. Sci. Soc. (2) 38, No. 4, 1463-1469 (2015). MSC: 05C57 91A43 PDF BibTeX XML Cite \textit{W. Zhuang} et al., Bull. Malays. Math. Sci. Soc. (2) 38, No. 4, 1463--1469 (2015; Zbl 1322.05096) Full Text: DOI OpenURL