Ducey, Joshua E.; Duncan, David L.; Engelbrecht, Wesley J.; Madan, Jawahar V.; Piato, Eric; Shatford, Christina S.; Vichitbandha, Angela Critical group structure from the parameters of a strongly regular graph. (English) Zbl 07313997 J. Comb. Theory, Ser. A 180, Article ID 105424, 21 p. (2021). MSC: 05C 68R PDF BibTeX XML Cite \textit{J. E. Ducey} et al., J. Comb. Theory, Ser. A 180, Article ID 105424, 21 p. (2021; Zbl 07313997) Full Text: DOI
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
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
Chen, Joe P.; Kudler-Flam, Jonah Laplacian growth and sandpiles on the Sierpiński gasket: limit shape universality and exact solutions. (English) Zbl 07290132 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 07290132) Full Text: DOI
Weishaar, Kyle; Seibert, James On the sandpile group of Eulerian series-parallel graphs. (English) Zbl 1445.05065 Involve 13, No. 3, 381-398 (2020). MSC: 05C50 05C45 PDF BibTeX XML Cite \textit{K. Weishaar} and \textit{J. Seibert}, Involve 13, No. 3, 381--398 (2020; Zbl 1445.05065) Full Text: DOI
Archer, Kassie; Bishop, Abigail C.; Diaz-Lopez, Alexander; García Puente, Luis D.; Glass, Darren; Louwsma, Joel Arithmetical structures on bidents. (English) Zbl 1440.05137 Discrete Math. 343, No. 7, Article ID 111850, 22 p. (2020). MSC: 05C50 PDF BibTeX XML Cite \textit{K. Archer} et al., Discrete Math. 343, No. 7, Article ID 111850, 22 p. (2020; Zbl 1440.05137) Full Text: DOI
Jerison, Daniel C.; Levine, Lionel; Pike, John Mixing time and eigenvalues of the abelian sandpile Markov chain. (English) Zbl 07130343 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 07130343) Full Text: DOI arXiv
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
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
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
Goel, Gopal; Perkinson, David Critical groups of iterated cones. (English) Zbl 1411.05161 Linear Algebra Appl. 567, 138-142 (2019). MSC: 05C50 05C25 05C76 PDF BibTeX XML Cite \textit{G. Goel} and \textit{D. Perkinson}, Linear Algebra Appl. 567, 138--142 (2019; Zbl 1411.05161) Full Text: DOI arXiv
Raza, Zahid; Iqbal, Sidra On the sandpile group of a family of graphs. (English) Zbl 1418.05076 JP J. Algebra Number Theory Appl. 40, No. 3, 229-240 (2018). MSC: 05C25 15A18 05C50 PDF BibTeX XML Cite \textit{Z. Raza} and \textit{S. Iqbal}, JP J. Algebra Number Theory Appl. 40, No. 3, 229--240 (2018; Zbl 1418.05076) Full Text: DOI
Ducey, Joshua E.; Sin, Peter The Smith group and the critical group of the Grassmann graph of lines in finite projective space and of its complement. (English) Zbl 1414.05178 Bull. Inst. Math., Acad. Sin. (N.S.) 13, No. 4, 411-442 (2018). MSC: 05C50 05B20 51E20 PDF BibTeX XML Cite \textit{J. E. Ducey} and \textit{P. Sin}, Bull. Inst. Math., Acad. Sin. (N.S.) 13, No. 4, 411--442 (2018; Zbl 1414.05178) Full Text: DOI arXiv
Brown, Morgan V.; Morrow, Jackson S.; Zureick-Brown, David Chip-firing groups of iterated cones. (English) Zbl 1394.05069 Linear Algebra Appl. 556, 46-54 (2018). MSC: 05C50 05C25 PDF BibTeX XML Cite \textit{M. V. Brown} et al., Linear Algebra Appl. 556, 46--54 (2018; Zbl 1394.05069) Full Text: DOI arXiv
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
Mosco, Umberto Finite-time self-organized-criticality on synchronized infinite grids. (English) Zbl 1400.82188 SIAM J. Math. Anal. 50, No. 3, 2409-2440 (2018). Reviewer: Guy Jumarie (Montréal) MSC: 82C27 46N55 68Q80 34B18 82B28 37B15 PDF BibTeX XML Cite \textit{U. Mosco}, SIAM J. Math. Anal. 50, No. 3, 2409--2440 (2018; Zbl 1400.82188) Full Text: DOI
Ducey, Joshua E.; Hill, Ian; Sin, Peter The critical group of the Kneser graph on 2-subsets of an \(n\)-element set. (English) Zbl 1390.05125 Linear Algebra Appl. 546, 154-168 (2018). MSC: 05C50 PDF BibTeX XML Cite \textit{J. E. Ducey} et al., Linear Algebra Appl. 546, 154--168 (2018; Zbl 1390.05125) Full Text: DOI arXiv
Raza, Zahid; Tariq, Saleha; Rahim, M. Tariq Sandpile model on subdivided wheels \(W_{n,l}\). (English) Zbl 1386.05196 Util. Math. 105, 291-302 (2017). MSC: 05E15 PDF BibTeX XML Cite \textit{Z. Raza} et al., Util. Math. 105, 291--302 (2017; Zbl 1386.05196)
Nassouri, Estelle; Ouaro, Stanislas; Traoré, Urbain Growing sandpile problem with Dirichlet and Fourier boundary conditions. (English) Zbl 1386.35039 Electron. J. Differ. Equ. 2017, Paper No. 300, 19 p. (2017). MSC: 35D30 35K86 35R37 35B40 PDF BibTeX XML Cite \textit{E. Nassouri} et al., Electron. J. Differ. Equ. 2017, Paper No. 300, 19 p. (2017; Zbl 1386.35039) Full Text: Link
Yuen, Chi Ho Geometric bijections between spanning trees and break divisors. (English) Zbl 1369.05035 J. Comb. Theory, Ser. A 152, 159-189 (2017). MSC: 05C05 PDF BibTeX XML Cite \textit{C. H. Yuen}, J. Comb. Theory, Ser. A 152, 159--189 (2017; Zbl 1369.05035) Full Text: DOI arXiv
Koplewitz, Shaked Sandpile groups and the coeulerian property for random directed graphs. (English) Zbl 1366.05048 Adv. Appl. Math. 90, 145-159 (2017). MSC: 05C20 05C25 05C45 05C50 05C80 60C05 15B52 15B36 15B33 60B20 PDF BibTeX XML Cite \textit{S. Koplewitz}, Adv. Appl. Math. 90, 145--159 (2017; Zbl 1366.05048) Full Text: DOI arXiv
Ducey, Joshua E. On the critical group of the missing Moore graph. (English) Zbl 1357.05078 Discrete Math. 340, No. 5, 1104-1109 (2017). MSC: 05C50 PDF BibTeX XML Cite \textit{J. E. Ducey}, Discrete Math. 340, No. 5, 1104--1109 (2017; Zbl 1357.05078) Full Text: DOI arXiv
Dukes, Mark; Selig, Thomas 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 PDF BibTeX XML Cite \textit{M. Dukes} and \textit{T. Selig}, Electron. Notes Discrete Math. 54, 97--102 (2016; Zbl 1356.05107) Full Text: DOI
Ducey, Joshua E.; Gerhard, Jonathan; Watson, Noah The Smith and critical groups of the square rook’s graph and its complement. (English) Zbl 1351.05105 Electron. J. Comb. 23, No. 4, Research Paper P4.9, 19 p. (2016). MSC: 05C25 05C76 PDF BibTeX XML Cite \textit{J. E. Ducey} et al., Electron. J. Comb. 23, No. 4, Research Paper P4.9, 19 p. (2016; Zbl 1351.05105) Full Text: Link arXiv
Gaetz, Christian Critical groups of group representations. (English) Zbl 1346.05298 Linear Algebra Appl. 508, 91-99 (2016). MSC: 05E10 15B36 20C15 PDF BibTeX XML Cite \textit{C. Gaetz}, Linear Algebra Appl. 508, 91--99 (2016; Zbl 1346.05298) Full Text: DOI arXiv
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
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
Propp, James; Roby, Tom Homomesy in products of two chains. (English) Zbl 1319.05151 Electron. J. Comb. 22, No. 3, Research Paper P3.4, 29 p. (2015). MSC: 05E18 05E10 06A11 PDF BibTeX XML Cite \textit{J. Propp} and \textit{T. Roby}, Electron. J. Comb. 22, No. 3, Research Paper P3.4, 29 p. (2015; Zbl 1319.05151) Full Text: Link arXiv
Chandler, David B.; Sin, Peter; Xiang, Qing The Smith and critical groups of Paley graphs. (English) Zbl 1316.05058 J. Algebr. Comb. 41, No. 4, 1013-1022 (2015). MSC: 05C25 05B20 15A21 05E30 PDF BibTeX XML Cite \textit{D. B. Chandler} et al., J. Algebr. Comb. 41, No. 4, 1013--1022 (2015; Zbl 1316.05058) Full Text: DOI arXiv
Raza, Zahid; Waheed, Seemal Abdul On the sandpile model of modified wheels. I. (English) Zbl 1401.05314 Int. J. Nonlinear Sci. Numer. Simul. 15, No. 3-4, 207-213 (2014). MSC: 05E18 PDF BibTeX XML Cite \textit{Z. Raza} and \textit{S. A. Waheed}, Int. J. Nonlinear Sci. Numer. Simul. 15, No. 3--4, 207--213 (2014; Zbl 1401.05314) Full Text: DOI
Deryagina, Madina; Mednykh, Ilia On the Jacobian group for Möbius ladder and prism graphs. (English) Zbl 1314.05094 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7–12, 2013. Sofia: Avangard Prima. 117-126 (2014). MSC: 05C25 PDF BibTeX XML Cite \textit{M. Deryagina} and \textit{I. Mednykh}, in: Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7--12, 2013. Sofia: Avangard Prima. 117--126 (2014; Zbl 1314.05094) Full Text: DOI
Krepkiy, I. A. The sandpile groups of chain-cyclic graphs. (English) Zbl 1307.05107 J. Math. Sci., New York 200, No. 6, 698-709 (2014) and Zap. Nauchn. Semin. POMI 421, 94-112 (2014). MSC: 05C25 20B35 PDF BibTeX XML Cite \textit{I. A. Krepkiy}, J. Math. Sci., New York 200, No. 6, 698--709 (2014; Zbl 1307.05107) Full Text: DOI
Duzhin, S. V.; Pasechnik, D. V. Groups acting on necklaces and sandpile groups. (English) Zbl 1308.05058 J. Math. Sci., New York 200, No. 6, 690-697 (2014) and Zap. Nauchn. Semin. POMI 421, 81-93 (2014). MSC: 05C25 05C20 PDF BibTeX XML Cite \textit{S. V. Duzhin} and \textit{D. V. Pasechnik}, J. Math. Sci., New York 200, No. 6, 690--697 (2014; Zbl 1308.05058) Full Text: DOI
Reiner, Victor; Tseng, Dennis Critical groups of covering, voltage and signed graphs. (English) Zbl 1281.05072 Discrete Math. 318, 10-40 (2014). MSC: 05C22 PDF BibTeX XML Cite \textit{V. Reiner} and \textit{D. Tseng}, Discrete Math. 318, 10--40 (2014; Zbl 1281.05072) Full Text: DOI arXiv
Propp, James; Roby, Tom Homomesy in products of two chains. (English) Zbl 1285.05012 Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24–28, 2013. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 945-956, electronic only (2013). MSC: 05A18 06A07 PDF BibTeX XML Cite \textit{J. Propp} and \textit{T. Roby}, in: Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24--28, 2013. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 945--956 (2013; Zbl 1285.05012) Full Text: Link
Duval, Art M.; Klivans, Caroline J.; Martin, Jeremy L. Critical groups of simplicial complexes. (English) Zbl 1263.05124 Ann. Comb. 17, No. 1, 53-70 (2013). MSC: 05E45 05C50 05C21 55U15 57M15 PDF BibTeX XML Cite \textit{A. M. Duval} et al., Ann. Comb. 17, No. 1, 53--70 (2013; Zbl 1263.05124) Full Text: DOI arXiv
Chapman, Scott; Garcia, Rebecca; García-Puente, Luis David; Malandro, Martin E.; Smith, Ken W. Algebraic and combinatorial aspects of sandpile monoids on directed graphs. (English) Zbl 1253.05079 J. Comb. Theory, Ser. A 120, No. 1, 245-265 (2013). MSC: 05C25 05C20 05E30 PDF BibTeX XML Cite \textit{S. Chapman} et al., J. Comb. Theory, Ser. A 120, No. 1, 245--265 (2013; Zbl 1253.05079) Full Text: DOI arXiv
Huss, Wilfried; Sava, Ecaterina The rotor-router group of directed covers of graphs. (English) Zbl 1252.05209 Electron. J. Comb. 19, No. 3, Research Paper P30, 19 p. (2012). MSC: 05C81 05C05 05C25 82C20 PDF BibTeX XML Cite \textit{W. Huss} and \textit{E. Sava}, Electron. J. Comb. 19, No. 3, Research Paper P30, 19 p. (2012; Zbl 1252.05209) Full Text: Link arXiv
Giacaglia, Giuliano Pezzolo; Levine, Lionel; Propp, James; Zayas-Palmer, Linda Local-to-global principles for the hitting sequence of a rotor walk. (English) Zbl 1243.05105 Electron. J. Comb. 19, No. 1, Research Paper P5, 23 p. (2012). MSC: 05C25 05C38 05C81 05C20 90B10 PDF BibTeX XML Cite \textit{G. P. Giacaglia} et al., Electron. J. Comb. 19, No. 1, Research Paper P5, 23 p. (2012; Zbl 1243.05105) Full Text: EMIS arXiv
Alfaro, Carlos A.; Valencia, Carlos E. On the sandpile group of the cone of a graph. (English) Zbl 1236.05131 Linear Algebra Appl. 436, No. 5, 1154-1176 (2012). MSC: 05C60 PDF BibTeX XML Cite \textit{C. A. Alfaro} and \textit{C. E. Valencia}, Linear Algebra Appl. 436, No. 5, 1154--1176 (2012; Zbl 1236.05131) Full Text: DOI arXiv
Duval, Art M.; Klivans, Caroline J.; Martin, Jeremy L. Critical groups of simplicial complexes. (English. French summary) Zbl 1355.05123 Proceedings of the 23rd international conference on formal power series and algebraic combinatorics, FPSAC 2011, Reykjavik, Iceland, June 13–17, 2011. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 269-280 (2011). MSC: 05C25 05E45 PDF BibTeX XML Cite \textit{A. M. Duval} et al., in: Proceedings of the 23rd international conference on formal power series and algebraic combinatorics, FPSAC 2011, Reykjavik, Iceland, June 13--17, 2011. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 269--280 (2011; Zbl 1355.05123) Full Text: Link
Siqin; Ayongga The order of the sandpile group of infinite complete expansion regular graphs. (English) Zbl 1257.05061 Int. J. Math. Comb. 2011, No. 4, 109-114 (2011). MSC: 05C25 05C63 PDF BibTeX XML Cite \textit{Siqin} and \textit{Ayongga}, Int. J. Math. Comb. 2011, No. 4, 109--114 (2011; Zbl 1257.05061) Full Text: Link
Xiong, Kunyun; Hou, Yaoping On the sandpile group of \(4\times n\) twisted bracelets. (Chinese. English summary) Zbl 1212.05124 J. Nat. Sci. Hunan Norm. Univ. 32, No. 1, 24-28 (2009). MSC: 05C25 PDF BibTeX XML Cite \textit{K. Xiong} and \textit{Y. Hou}, J. Nat. Sci. Hunan Norm. Univ. 32, No. 1, 24--28 (2009; Zbl 1212.05124)
Landau, Itamar; Levine, Lionel The rotor-router model on regular trees. (English) Zbl 1179.05031 J. Comb. Theory, Ser. A 116, No. 2, 421-433 (2009). MSC: 05C05 PDF BibTeX XML Cite \textit{I. Landau} and \textit{L. Levine}, J. Comb. Theory, Ser. A 116, No. 2, 421--433 (2009; Zbl 1179.05031) Full Text: DOI arXiv
Landau, Itamar; Levine, Lionel; Peres, Yuval Chip-firing and rotor-routing on \(\mathbb Z^d\) and on trees. (English) Zbl 1393.05147 Proceedings of the 20th annual international conference on formal power series and algebraic combinatorics, FPSAC 2008, Viña del Mar, Chile, June 23–27, 2008. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 587-598 (2008). MSC: 05C25 05C05 PDF BibTeX XML Cite \textit{I. Landau} et al., in: Proceedings of the 20th annual international conference on formal power series and algebraic combinatorics, FPSAC 2008, Viña del Mar, Chile, June 23--27, 2008. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 587--598 (2008; Zbl 1393.05147) Full Text: Link
Wei, Lijuan; Jiang, Yilan Critical groups of modified wheel graphs. (Chinese. English summary) Zbl 1199.05169 J. Nat. Sci. Hunan Norm. Univ. 31, No. 4, 12-15 (2008). MSC: 05C25 05C05 PDF BibTeX XML Cite \textit{L. Wei} and \textit{Y. Jiang}, J. Nat. Sci. Hunan Norm. Univ. 31, No. 4, 12--15 (2008; Zbl 1199.05169)
Cheng, An-Chung; Chen, Chien-Fu; Lin, Chai-Yu Cell-to-site renormalization group study of a sandpile. (English) Zbl 1172.82316 Int. J. Mod. Phys. C 19, No. 11, 1695-1703 (2008). MSC: 82B28 82B27 PDF BibTeX XML Cite \textit{A.-C. Cheng} et al., Int. J. Mod. Phys. C 19, No. 11, 1695--1703 (2008; Zbl 1172.82316) Full Text: DOI
Lorenzini, Dino Smith normal form and Laplacians. (English) Zbl 1175.05088 J. Comb. Theory, Ser. B 98, No. 6, 1271-1300 (2008). MSC: 05C50 05C25 20B25 PDF BibTeX XML Cite \textit{D. Lorenzini}, J. Comb. Theory, Ser. B 98, No. 6, 1271--1300 (2008; Zbl 1175.05088) Full Text: DOI
Shen, Jin; Hou, Yaoping On the sandpile group of \(3\times n\) twisted bracelets. (English) Zbl 1144.05311 Linear Algebra Appl. 429, No. 8-9, 1894-1904 (2008). MSC: 05C25 05C50 PDF BibTeX XML Cite \textit{J. Shen} and \textit{Y. Hou}, Linear Algebra Appl. 429, No. 8--9, 1894--1904 (2008; Zbl 1144.05311) Full Text: DOI
Hou, Yaoping; Lei, Tiangang; Woo, Chingwah On the sandpile group of the graph \(K_{3}\times C_n\). (English) Zbl 1137.05043 Linear Algebra Appl. 428, No. 8-9, 1886-1898 (2008). MSC: 05C50 05C25 PDF BibTeX XML Cite \textit{Y. Hou} et al., Linear Algebra Appl. 428, No. 8--9, 1886--1898 (2008; Zbl 1137.05043) Full Text: DOI
Shen, Jin; Hou, Yaoping On the critical group of graph \(P_n\times C_4\). (Chinese. English summary) Zbl 1150.05360 J. Huaihua Univ. 26, No. 5, 25-29 (2007). MSC: 05C25 PDF BibTeX XML Cite \textit{J. Shen} and \textit{Y. Hou}, J. Huaihua Univ. 26, No. 5, 25--29 (2007; Zbl 1150.05360)
Toumpakari, Evelin On the sandpile group of regular trees. (English) Zbl 1120.05042 Eur. J. Comb. 28, No. 3, 822-842 (2007). Reviewer: Robert Jajcay (Terre Haute) MSC: 05C25 05C05 05E99 PDF BibTeX XML Cite \textit{E. Toumpakari}, Eur. J. Comb. 28, No. 3, 822--842 (2007; Zbl 1120.05042) Full Text: DOI arXiv
Jacobson, Brian; Niedermaier, Andrew; Reiner, Victor Critical groups for complete multipartite graphs and Cartesian products of complete graphs. (English) Zbl 1031.05064 J. Graph Theory 44, No. 3, 231-250 (2003). MSC: 05C25 05C50 PDF BibTeX XML Cite \textit{B. Jacobson} et al., J. Graph Theory 44, No. 3, 231--250 (2003; Zbl 1031.05064) Full Text: DOI
Bai, Hua On the critical group of the \(n\)-cube. (English) Zbl 1023.05096 Linear Algebra Appl. 369, 251-261 (2003). MSC: 05C50 PDF BibTeX XML Cite \textit{H. Bai}, Linear Algebra Appl. 369, 251--261 (2003; Zbl 1023.05096) Full Text: DOI
Chung, Fan; Ellis, Robert B. A chip-firing game and Dirichlet eigenvalues. (English) Zbl 1026.91025 Discrete Math. 257, No. 2-3, 341-355 (2002). MSC: 91A43 05C50 PDF BibTeX XML Cite \textit{F. Chung} and \textit{R. B. Ellis}, Discrete Math. 257, No. 2--3, 341--355 (2002; Zbl 1026.91025) Full Text: DOI
Christianson, Hans; Reiner, Victor The critical group of a threshold graph. (English) Zbl 1006.05029 Linear Algebra Appl. 349, No. 1-3, 233-244 (2002). MSC: 05C25 05C50 PDF BibTeX XML Cite \textit{H. Christianson} and \textit{V. Reiner}, Linear Algebra Appl. 349, No. 1--3, 233--244 (2002; Zbl 1006.05029) Full Text: DOI
Cori, Robert; Rossin, Dominique On the sandpile group of dual graphs. (English) Zbl 0969.05034 Eur. J. Comb. 21, No. 4, 447-459 (2000). Reviewer: András Ádám (Budapest) MSC: 05C25 PDF BibTeX XML Cite \textit{R. Cori} and \textit{D. Rossin}, Eur. J. Comb. 21, No. 4, 447--459 (2000; Zbl 0969.05034) Full Text: DOI