Langner, Johanna; Witek, Henryk A. Extended strict order polynomial of a poset and fixed elements of linear extensions. (English) Zbl 07471100 Australas. J. Comb. 81, Part 1, 187-207 (2021). MSC: 06A07 05A15 PDFBibTeX XMLCite \textit{J. Langner} and \textit{H. A. Witek}, Australas. J. Comb. 81, Part 1, 187--207 (2021; Zbl 07471100) Full Text: Link
Simson, Daniel; Zając, Katarzyna On mesh geometries of root Coxeter orbits and mesh algorithms for corank two edge-bipartite signed graphs. (English) Zbl 1460.05080 Linear Algebra Appl. 610, 698-765 (2021). Reviewer: V. Lokesha (Bangalore) MSC: 05C22 05C50 06A11 15A63 68R05 68W30 PDFBibTeX XMLCite \textit{D. Simson} and \textit{K. Zając}, Linear Algebra Appl. 610, 698--765 (2021; Zbl 1460.05080) Full Text: DOI
Bondarenko, Vitaliy M.; Styopochkina, Marina V. The classification of serial posets with the non-negative quadratic Tits form being principal. (English) Zbl 1446.16018 Algebra Discrete Math. 27, No. 2, 202-211 (2019). MSC: 16G20 06A07 15A63 PDFBibTeX XMLCite \textit{V. M. Bondarenko} and \textit{M. V. Styopochkina}, Algebra Discrete Math. 27, No. 2, 202--211 (2019; Zbl 1446.16018) Full Text: Link
Gąsiorek, Marcin A Coxeter type classification of one-peak principal posets. (English) Zbl 1426.05094 Linear Algebra Appl. 582, 197-217 (2019). MSC: 05C50 06A07 06A11 15A63 PDFBibTeX XMLCite \textit{M. Gąsiorek}, Linear Algebra Appl. 582, 197--217 (2019; Zbl 1426.05094) Full Text: DOI
Zając, Katarzyna On the structure of loop-free non-negative edge-bipartite graphs. (English) Zbl 1419.05101 Linear Algebra Appl. 579, 262-283 (2019). MSC: 05C22 05C50 06A11 15A63 68R05 68W30 PDFBibTeX XMLCite \textit{K. Zając}, Linear Algebra Appl. 579, 262--283 (2019; Zbl 1419.05101) Full Text: DOI
Barnard, Emily The canonical join complex. (English) Zbl 1516.06008 Electron. J. Comb. 26, No. 1, Research Paper P1.24, 25 p. (2019). MSC: 06B15 06A07 PDFBibTeX XMLCite \textit{E. Barnard}, Electron. J. Comb. 26, No. 1, Research Paper P1.24, 25 p. (2019; Zbl 1516.06008) Full Text: arXiv Link
Simson, Daniel; Zając, Katarzyna Inflation algorithm for loop-free non-negative edge-bipartite graphs of corank at least two. (English) Zbl 1361.05061 Linear Algebra Appl. 524, 109-152 (2017). MSC: 05C22 05C50 06A11 15A63 68R05 68W30 PDFBibTeX XMLCite \textit{D. Simson} and \textit{K. Zając}, Linear Algebra Appl. 524, 109--152 (2017; Zbl 1361.05061) Full Text: DOI
Gąsiorek, Marcin; Simson, Daniel; Zając, Katarzyna A Gram classification of non-negative corank-two loop-free edge-bipartite graphs. (English) Zbl 1334.05053 Linear Algebra Appl. 500, 88-118 (2016). MSC: 05C22 05C50 06A11 15A63 68R05 68W30 PDFBibTeX XMLCite \textit{M. Gąsiorek} et al., Linear Algebra Appl. 500, 88--118 (2016; Zbl 1334.05053) Full Text: DOI
Gąsiorek, Marcin; Simson, Daniel; Zając, Katarzyna On Coxeter type study of non-negative posets using matrix morsifications and isotropy groups of Dynkin and Euclidean diagrams. (English) Zbl 1318.06004 Eur. J. Comb. 48, 127-142 (2015). MSC: 06A11 16G20 06A07 05C50 15A63 68W30 PDFBibTeX XMLCite \textit{M. Gąsiorek} et al., Eur. J. Comb. 48, 127--142 (2015; Zbl 1318.06004) Full Text: DOI
Simson, Daniel Tame-wild dichotomy of Birkhoff type problems for nilpotent linear operators. (English) Zbl 1312.16011 J. Algebra 424, 254-293 (2015). MSC: 16G60 16G20 06A11 06A07 05C50 15A63 68W30 PDFBibTeX XMLCite \textit{D. Simson}, J. Algebra 424, 254--293 (2015; Zbl 1312.16011) Full Text: DOI
Gąsiorek, Marcin; Simson, Daniel; Zając, Katarzyna Structure and a Coxeter-Dynkin type classification of corank two non-negative posets. (English) Zbl 1305.06002 Linear Algebra Appl. 469, 76-113 (2015). MSC: 06A11 16G20 06A07 05C50 15A63 68W30 PDFBibTeX XMLCite \textit{M. Gąsiorek} et al., Linear Algebra Appl. 469, 76--113 (2015; Zbl 1305.06002) Full Text: DOI
Gąsiorek, Marcin; Simson, Daniel; Zając, Katarzyna Algorithmic computation of principal posets using Maple and Python. (English) Zbl 1310.06004 Algebra Discrete Math. 17, No. 1, 33-69 (2014). MSC: 06A11 16G20 06A07 05C50 15A63 68W30 PDFBibTeX XMLCite \textit{M. Gąsiorek} et al., Algebra Discrete Math. 17, No. 1, 33--69 (2014; Zbl 1310.06004)
Polak, Agnieszka; Simson, Daniel Coxeter spectral classification of almost \(TP\)-critical one-peak posets using symbolic and numeric computations. (English) Zbl 1290.16014 Linear Algebra Appl. 445, 223-255 (2014). MSC: 16G20 06A11 06A07 15A63 16G60 68W30 PDFBibTeX XMLCite \textit{A. Polak} and \textit{D. Simson}, Linear Algebra Appl. 445, 223--255 (2014; Zbl 1290.16014) Full Text: DOI
Simson, Daniel; Zając, Katarzyna A framework for Coxeter spectral classification of finite posets and their mesh geometries of roots. (English) Zbl 1284.16018 Int. J. Math. Math. Sci. 2013, Article ID 743734, 22 p. (2013). MSC: 16G20 06A07 15A63 15A21 06A11 PDFBibTeX XMLCite \textit{D. Simson} and \textit{K. Zając}, Int. J. Math. Math. Sci. 2013, Article ID 743734, 22 p. (2013; Zbl 1284.16018) Full Text: DOI
Gąsiorek, Marcin; Simson, Daniel A computation of positive one-peak posets that are Tits-sincere. (English) Zbl 1260.06005 Colloq. Math. 127, No. 1, 83-103 (2012). MSC: 06A11 16G20 15B36 68W30 PDFBibTeX XMLCite \textit{M. Gąsiorek} and \textit{D. Simson}, Colloq. Math. 127, No. 1, 83--103 (2012; Zbl 1260.06005) Full Text: DOI
Gąsiorek, Marcin; Simson, Daniel One-peak posets with positive quadratic Tits form, their mesh translation quivers of roots, and programming in Maple and Python. (English) Zbl 1272.06009 Linear Algebra Appl. 436, No. 7, 2240-2272 (2012). MSC: 06A11 16G20 06A07 05C50 15A63 16Z05 68W30 PDFBibTeX XMLCite \textit{M. Gąsiorek} and \textit{D. Simson}, Linear Algebra Appl. 436, No. 7, 2240--2272 (2012; Zbl 1272.06009) Full Text: DOI
Polak, Agnieszka; Simson, Daniel Symbolic and numerical computation in determining \(P\)-critical unit forms and Tits \(P\)-critical posets. (English) Zbl 1274.68696 Nešetřil, Jarik (ed.) et al., Extended abstracts of the sixth European conference on combinatorics, graph theory and applications, EuroComb 2011, Budapest, Hungary, August 29 – September 2, 2011. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 38, 723-730 (2011). MSC: 68W30 06A11 PDFBibTeX XMLCite \textit{A. Polak} and \textit{D. Simson}, Electron. Notes Discrete Math. 38, 723--730 (2011; Zbl 1274.68696) Full Text: Link
Díaz Varela, J. P.; López Martinolich, B. F. Resolution of algebraic systems of equations in the variety of cyclic Post algebras. (English) Zbl 1259.06012 Stud. Log. 98, No. 1-2, 307-330 (2011). MSC: 06D25 03G20 68W30 PDFBibTeX XMLCite \textit{J. P. Díaz Varela} and \textit{B. F. López Martinolich}, Stud. Log. 98, No. 1--2, 307--330 (2011; Zbl 1259.06012) Full Text: DOI
Wen, Xiangdong Computer-generated symmetric chain decompositions for \(L(4,n)\) and \(L(3,n)\). (English) Zbl 1054.05008 Adv. Appl. Math. 33, No. 2, 409-412 (2004). Reviewer: Ljuben Mutafchiev (Tampa) MSC: 05A17 05E10 06A07 PDFBibTeX XMLCite \textit{X. Wen}, Adv. Appl. Math. 33, No. 2, 409--412 (2004; Zbl 1054.05008) Full Text: DOI
Waugh, Debra J. On quotients of Coxeter groups under the weak order. (English) Zbl 1025.20025 Adv. Appl. Math. 30, No. 1-2, 369-384 (2003). Reviewer: Stephanie van Willigenburg (Ithaca) MSC: 20F55 05C25 06A07 PDFBibTeX XMLCite \textit{D. J. Waugh}, Adv. Appl. Math. 30, No. 1--2, 369--384 (2003; Zbl 1025.20025) Full Text: DOI
Speed, Sam E. The integer sequence A002620 and upper antagonistic functions. (English) Zbl 1012.05009 J. Integer Seq. 6, No. 1, Art. 03.1.4, 17 p. (2003). MSC: 05A15 11B83 05C35 05C69 05E10 05D05 06B99 05A17 PDFBibTeX XMLCite \textit{S. E. Speed}, J. Integer Seq. 6, No. 1, Art. 03.1.4, 17 p. (2003; Zbl 1012.05009) Full Text: EuDML EMIS
Deriziotis, D. I.; Holt, D. F. The Möbius function of the lattice of closed subsystems of a root system. (English) Zbl 0831.20015 Commun. Algebra 21, No. 5, 1543-1570 (1993). MSC: 20C33 17B20 20G40 20D06 06A07 PDFBibTeX XMLCite \textit{D. I. Deriziotis} and \textit{D. F. Holt}, Commun. Algebra 21, No. 5, 1543--1570 (1993; Zbl 0831.20015) Full Text: DOI