Fischer, Ilse; Schreier-Aigner, Florian The relation between alternating sign matrices and descending plane partitions: \(n + 3\) pairs of equivalent statistics. (English) Zbl 1506.05020 Adv. Math. 413, Article ID 108831, 47 p. (2023). MSC: 05A17 05B15 05A15 05A05 05A19 15B35 82B20 82B23 PDFBibTeX XMLCite \textit{I. Fischer} and \textit{F. Schreier-Aigner}, Adv. Math. 413, Article ID 108831, 47 p. (2023; Zbl 1506.05020) Full Text: DOI arXiv
Höngesberg, Hans Weight-preserving bijections between integer partitions and a class of alternating sign trapezoids. (English) Zbl 1497.05015 Ann. Comb. 26, No. 3, 673-699 (2022). MSC: 05A18 05A17 15B35 05A15 05B20 05A19 PDFBibTeX XMLCite \textit{H. Höngesberg}, Ann. Comb. 26, No. 3, 673--699 (2022; Zbl 1497.05015) Full Text: DOI arXiv
Höngesberg, Hans Weight-preserving bijections between integer partitions and a family of alternating sign trapezoids. (English) Zbl 1505.05015 Sémin. Lothar. Comb. 85B, Article 80, 12 p. (2021). MSC: 05A15 05B20 05A17 15B99 PDFBibTeX XMLCite \textit{H. Höngesberg}, Sémin. Lothar. Comb. 85B, Article 80, 12 p. (2021; Zbl 1505.05015) Full Text: Link
Aigner, Florian A new determinant for the \(Q\)-enumeration of alternating sign matrices. (English) Zbl 1459.05007 J. Comb. Theory, Ser. A 180, Article ID 105412, 28 p. (2021). MSC: 05A15 05A17 05B20 15B36 52C20 PDFBibTeX XMLCite \textit{F. Aigner}, J. Comb. Theory, Ser. A 180, Article ID 105412, 28 p. (2021; Zbl 1459.05007) Full Text: DOI arXiv
Fischer, Ilse; Saikia, Manjil P. Refined enumeration of symmetry classes of alternating sign matrices. (English) Zbl 1457.05007 J. Comb. Theory, Ser. A 178, Article ID 105350, 52 p. (2021). MSC: 05A15 05B20 15B35 PDFBibTeX XMLCite \textit{I. Fischer} and \textit{M. P. Saikia}, J. Comb. Theory, Ser. A 178, Article ID 105350, 52 p. (2021; Zbl 1457.05007) Full Text: DOI arXiv
Höngesberg, Hans Refined enumeration of halved monotone triangles and applications to vertically symmetric alternating sign trapezoids. (English) Zbl 1448.05004 J. Comb. Theory, Ser. A 177, Article ID 105336, 37 p. (2021). MSC: 05A15 05B20 15B35 PDFBibTeX XMLCite \textit{H. Höngesberg}, J. Comb. Theory, Ser. A 177, Article ID 105336, 37 p. (2021; Zbl 1448.05004) Full Text: DOI arXiv
Aigner, Florian; Fischer, Ilse; Konvalinka, Matjaž; Nadeau, Philippe; Tewari, Vasu Alternating sign matrices and totally symmetric plane partitions. (English) Zbl 1447.05014 Sémin. Lothar. Comb. 84B, Article 77, 12 p. (2020). MSC: 05A15 15A15 05E05 05A18 PDFBibTeX XMLCite \textit{F. Aigner} et al., Sémin. Lothar. Comb. 84B, Article 77, 12 p. (2020; Zbl 1447.05014) Full Text: arXiv Link
O’Brien, Cian; Jennings, Kevin; Quinlan, Rachel Alternating signed bipartite graphs and difference-1 colourings. (English) Zbl 1447.05098 Linear Algebra Appl. 604, 370-398 (2020). Reviewer: V. Lokesha (Bangalore) MSC: 05C22 05C15 05B20 15B36 PDFBibTeX XMLCite \textit{C. O'Brien} et al., Linear Algebra Appl. 604, 370--398 (2020; Zbl 1447.05098) Full Text: DOI arXiv
Ayyer, Arvind; Behrend, Roger E.; Fischer, Ilse Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order. (English) Zbl 1436.15037 Adv. Math. 367, Article ID 107125, 56 p. (2020). MSC: 15B35 05A15 05A19 82B20 82B23 PDFBibTeX XMLCite \textit{A. Ayyer} et al., Adv. Math. 367, Article ID 107125, 56 p. (2020; Zbl 1436.15037) Full Text: DOI arXiv
Fischer, Ilse A constant term approach to enumerating alternating sign trapezoids. (English) Zbl 1421.05012 Adv. Math. 356, Article ID 106792, 23 p. (2019). MSC: 05A15 15A15 PDFBibTeX XMLCite \textit{I. Fischer}, Adv. Math. 356, Article ID 106792, 23 p. (2019; Zbl 1421.05012) Full Text: DOI
Fischer, Ilse Enumeration of alternating sign triangles using a constant term approach. (English) Zbl 1415.05013 Trans. Am. Math. Soc. 372, No. 2, 1485-1508 (2019). MSC: 05A15 05A05 05A19 15B35 82B20 82B23 PDFBibTeX XMLCite \textit{I. Fischer}, Trans. Am. Math. Soc. 372, No. 2, 1485--1508 (2019; Zbl 1415.05013) Full Text: DOI arXiv
Egorychev, Georgiĭ Petrovich Determinants as combinatorial summation formulas over an algebra with a unique \(n\)-ary operation. (Russian. English summary) Zbl 1409.15006 Izv. Irkutsk. Gos. Univ., Ser. Mat. 26, 121-127 (2018). MSC: 15A15 15A16 PDFBibTeX XMLCite \textit{G. P. Egorychev}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 26, 121--127 (2018; Zbl 1409.15006) Full Text: DOI Link
Brualdi, Richard A. Some combinatorially defined matrix classes. (English) Zbl 1418.15027 Encinas, Andrés M. (ed.) et al., Combinatorial matrix theory. Cham: Birkhäuser. Adv. Courses in Math., CRM Barcelona, 1-46 (2018). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 15B35 05B20 05A05 05C20 15-02 PDFBibTeX XMLCite \textit{R. A. Brualdi}, in: Combinatorial matrix theory. Cham: Birkhäuser. 1--46 (2018; Zbl 1418.15027) Full Text: DOI
Behrend, Roger E.; Fischer, Ilse; Konvalinka, Matjaž Diagonally and antidiagonally symmetric alternating sign matrices of odd order. (English) Zbl 1366.05006 Adv. Math. 315, 324-365 (2017). MSC: 05A15 05A05 05A19 15B35 82B20 82B23 PDFBibTeX XMLCite \textit{R. E. Behrend} et al., Adv. Math. 315, 324--365 (2017; Zbl 1366.05006) Full Text: DOI arXiv HAL
Brualdi, Richard A.; Schroeder, Michael W. Alternating sign matrices and their Bruhat order. (English) Zbl 1366.15024 Discrete Math. 340, No. 8, 1996-2019 (2017). MSC: 15B35 15B48 PDFBibTeX XMLCite \textit{R. A. Brualdi} and \textit{M. W. Schroeder}, Discrete Math. 340, No. 8, 1996--2019 (2017; Zbl 1366.15024) Full Text: DOI Backlinks: MO
Brualdi, Richard A.; Dahl, Geir Alternating sign matrices, extensions and related cones. (English) Zbl 1358.15023 Adv. Appl. Math. 86, 19-49 (2017). MSC: 15B48 05B20 PDFBibTeX XMLCite \textit{R. A. Brualdi} and \textit{G. Dahl}, Adv. Appl. Math. 86, 19--49 (2017; Zbl 1358.15023) Full Text: DOI Link
Fischer, Ilse Short proof of the ASM theorem avoiding the six-vertex model. (English) Zbl 1343.05020 J. Comb. Theory, Ser. A 144, 139-156 (2016). MSC: 05A15 15B35 PDFBibTeX XMLCite \textit{I. Fischer}, J. Comb. Theory, Ser. A 144, 139--156 (2016; Zbl 1343.05020) Full Text: DOI
Brualdi, Richard A.; Kim, Hwa K. A generalization of alternating sign matrices. (English) Zbl 1320.05018 J. Comb. Des. 23, No. 5, 204-215 (2015). Reviewer: Thomas Britz (Sydney) MSC: 05B20 05C22 05C50 15B35 15B36 PDFBibTeX XMLCite \textit{R. A. Brualdi} and \textit{H. K. Kim}, J. Comb. Des. 23, No. 5, 204--215 (2015; Zbl 1320.05018) Full Text: DOI arXiv
Engbers, John; Hammett, Adam Trivial meet and join within the lattice of monotone triangles. (English) Zbl 1325.06005 Electron. J. Comb. 21, No. 3, Research Paper P3.13, 15 p. (2014). MSC: 06A07 05A05 05A16 15B35 15B36 PDFBibTeX XMLCite \textit{J. Engbers} and \textit{A. Hammett}, Electron. J. Comb. 21, No. 3, Research Paper P3.13, 15 p. (2014; Zbl 1325.06005) Full Text: arXiv Link
Abeles, Francine F. Chiò’s and Dodgson’s determinantal identities. (English) Zbl 1288.15001 Linear Algebra Appl. 454, 130-137 (2014). MSC: 15-02 15A15 01A55 PDFBibTeX XMLCite \textit{F. F. Abeles}, Linear Algebra Appl. 454, 130--137 (2014; Zbl 1288.15001) Full Text: DOI
Brualdi, Richard A.; Kiernan, Kathleen P.; Meyer, Seth A.; Schroeder, Michael W. Patterns of alternating sign matrices. (English) Zbl 1281.15034 Linear Algebra Appl. 438, No. 10, 3967-3990 (2013). MSC: 15B35 05B20 05C22 05C50 15B36 PDFBibTeX XMLCite \textit{R. A. Brualdi} et al., Linear Algebra Appl. 438, No. 10, 3967--3990 (2013; Zbl 1281.15034) Full Text: DOI arXiv
Rosengren, Hjalmar New proofs of determinant evaluations related to plane partitions. (English) Zbl 1267.05033 Electron. J. Comb. 19, No. 4, Research Paper P15, 25 p. (2012). MSC: 05A17 15A15 33C45 33D45 11P81 PDFBibTeX XMLCite \textit{H. Rosengren}, Electron. J. Comb. 19, No. 4, Research Paper P15, 25 p. (2012; Zbl 1267.05033) Full Text: arXiv Link
Fischer, Ilse Linear relations of refined enumerations of alternating sign matrices. (English) Zbl 1247.05014 J. Comb. Theory, Ser. A 119, No. 3, 556-578 (2012). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 05A15 05B20 15B36 PDFBibTeX XMLCite \textit{I. Fischer}, J. Comb. Theory, Ser. A 119, No. 3, 556--578 (2012; Zbl 1247.05014) Full Text: DOI arXiv
Kalantari, Bahman Alternating sign matrices and polynomiography. (English) Zbl 1227.00031 Electron. J. Comb. 18, No. 2, Research Paper P24, 22 p. (2011). Reviewer: Yuri V. Rogovchenko (Umeå) MSC: 00A66 15B35 15B51 30C15 PDFBibTeX XMLCite \textit{B. Kalantari}, Electron. J. Comb. 18, No. 2, Research Paper P24, 22 p. (2011; Zbl 1227.00031) Full Text: EMIS
Biane, Philippe; Cantini, Luigi; Sportiello, Andrea Doubly-refined enumeration of alternating sign matrices and determinants of 2-staircase Schur functions. (English) Zbl 1408.05135 Sémin. Lothar. Comb. 65, B65f, 25 p. (2010). MSC: 05E05 05A15 15A15 PDFBibTeX XMLCite \textit{P. Biane} et al., Sémin. Lothar. Comb. 65, B65f, 25 p. (2010; Zbl 1408.05135) Full Text: arXiv EMIS
Fischer, Ilse; Romik, Dan More refined enumerations of alternating sign matrices. (English) Zbl 1188.05008 Adv. Math. 222, No. 6, 2004-2035 (2009). Reviewer: László A. Székely (Columbia) MSC: 05A15 05A19 15B35 PDFBibTeX XMLCite \textit{I. Fischer} and \textit{D. Romik}, Adv. Math. 222, No. 6, 2004--2035 (2009; Zbl 1188.05008) Full Text: DOI arXiv
Mitra, Saibal Exact asymptotics of the characteristic polynomial of the symmetric Pascal matrix. (English) Zbl 1180.05012 J. Comb. Theory, Ser. A 116, No. 1, 30-43 (2009). MSC: 05A16 05A10 15B36 82B20 PDFBibTeX XMLCite \textit{S. Mitra}, J. Comb. Theory, Ser. A 116, No. 1, 30--43 (2009; Zbl 1180.05012) Full Text: DOI arXiv
Abeles, Francine F. Dodgson condensation: The historical and mathematical development of an experimental method. (English) Zbl 1151.15012 Linear Algebra Appl. 429, No. 2-3, 429-438 (2008). Reviewer: Rabe von Randow (Bonn) MSC: 15A15 65F40 15-03 01A55 PDFBibTeX XMLCite \textit{F. F. Abeles}, Linear Algebra Appl. 429, No. 2--3, 429--438 (2008; Zbl 1151.15012) Full Text: DOI
Hamel, A. M.; King, R. C. Bijective proofs of shifted tableau and alternating sign matrix identities. (English) Zbl 1122.05094 J. Algebr. Comb. 25, No. 4, 417-458 (2007). Reviewer: M. Rafiq Omar (Bellville) MSC: 05E10 05E05 15A24 15B36 PDFBibTeX XMLCite \textit{A. M. Hamel} and \textit{R. C. King}, J. Algebr. Comb. 25, No. 4, 417--458 (2007; Zbl 1122.05094) Full Text: DOI arXiv
Fischer, Ilse A new proof of the refined alternating sign matrix theorem. (English) Zbl 1110.05017 J. Comb. Theory, Ser. A 114, No. 2, 253-264 (2007). MSC: 05B20 05A15 15B36 PDFBibTeX XMLCite \textit{I. Fischer}, J. Comb. Theory, Ser. A 114, No. 2, 253--264 (2007; Zbl 1110.05017) Full Text: DOI arXiv
Okada, Soichi Enumeration of symmetry classes of alternating sign matrices and characters of classical groups. (English) Zbl 1088.05012 J. Algebr. Comb. 23, No. 1, 43-69 (2006). MSC: 05A15 15B36 15A15 PDFBibTeX XMLCite \textit{S. Okada}, J. Algebr. Comb. 23, No. 1, 43--69 (2006; Zbl 1088.05012) Full Text: DOI arXiv
de Gier, Jan Loops, matchings and alternating-sign matrices. (English) Zbl 1070.05008 Discrete Math. 298, No. 1-3, 365-388 (2005). MSC: 05A15 15B36 PDFBibTeX XMLCite \textit{J. de Gier}, Discrete Math. 298, No. 1--3, 365--388 (2005; Zbl 1070.05008) Full Text: DOI arXiv
Colomo, F.; Pronko, A. G. On the refined 3-enumeration of alternating sign matrices. (English) Zbl 1066.05010 Adv. Appl. Math. 34, No. 4, 798-811 (2005). MSC: 05A15 33C90 15B36 PDFBibTeX XMLCite \textit{F. Colomo} and \textit{A. G. Pronko}, Adv. Appl. Math. 34, No. 4, 798--811 (2005; Zbl 1066.05010) Full Text: DOI arXiv
Bressoud, David M. Three alternating sign matrix identities in search of bijective proofs. (English) Zbl 0990.05002 Adv. Appl. Math. 27, No. 2-3, 289-297 (2001). Reviewer: Ian M.Wanless (Oxford) MSC: 05A15 05A19 05C20 05B20 15A15 15A24 PDFBibTeX XMLCite \textit{D. M. Bressoud}, Adv. Appl. Math. 27, No. 2--3, 289--297 (2001; Zbl 0990.05002) Full Text: DOI arXiv
Zeilberger, Doron Proof of the alternating sign matrix conjecture. (English) Zbl 0858.05023 Electron. J. Comb. 3, No. 2, Research paper R13, 84 p. (1996); printed version J. Comb. 3, No. 2, 283-366 (1996). Reviewer: V.D.Tonchev (Houghton) MSC: 05B20 05A15 15B36 PDFBibTeX XML Full Text: arXiv EuDML EMIS
Goulden, I. P.; Jackson, D. M. Further determinants with the averaging property of Andrews-Burge. (English) Zbl 0840.15006 J. Comb. Theory, Ser. A 73, No. 2, 368-375 (1996). Reviewer: G.Bonanno (Davis) MSC: 15A15 05A15 05A18 PDFBibTeX XMLCite \textit{I. P. Goulden} and \textit{D. M. Jackson}, J. Comb. Theory, Ser. A 73, No. 2, 368--375 (1996; Zbl 0840.15006)
Bousquet-Mélou, Mireille; Habsieger, Laurent Alternating sign matrices. (Sur les matrices à signes alternants.) (French) Zbl 0826.05014 Discrete Math. 139, No. 1-3, 57-72 (1995). Reviewer: Mirela Ştefănescu (Constanţa) MSC: 05B20 15B36 PDFBibTeX XMLCite \textit{M. Bousquet-Mélou} and \textit{L. Habsieger}, Discrete Math. 139, No. 1--3, 57--72 (1995; Zbl 0826.05014) Full Text: DOI