Burstein, Alexander Distribution of sets of descent tops and descent bottoms on restricted permutations. arXiv:2306.08065 Preprint, arXiv:2306.08065 [math.CO] (2023). MSC: 05A05 05A15 BibTeX Cite \textit{A. Burstein}, ``Distribution of sets of descent tops and descent bottoms on restricted permutations'', Preprint, arXiv:2306.08065 [math.CO] (2023) Full Text: arXiv OA License
Bóna, Miklós; Burstein, Alexander Permutations with exactly one copy of a monotone pattern of length \(k\), and a generalization. (English) Zbl 1511.05002 Ann. Comb. 26, No. 2, 393-404 (2022). Reviewer: Jean-Luc Baril (Dijon) MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{M. Bóna} and \textit{A. Burstein}, Ann. Comb. 26, No. 2, 393--404 (2022; Zbl 1511.05002) Full Text: DOI arXiv
Burstein, Alexander; Jones, Opel Enumeration of Dumont permutations avoiding certain four-letter patterns. (English) Zbl 1487.05009 Discrete Math. Theor. Comput. Sci. 22(2021-2023), No. 2, Paper No. 7, 23 p. (2021). MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{A. Burstein} and \textit{O. Jones}, Discrete Math. Theor. Comput. Sci. 22, No. 2, Paper No. 7, 23 p. (2021; Zbl 1487.05009) Full Text: arXiv Link
Baril, Jean-Luc; Burstein, Alexander; Kirgizov, Sergey Pattern statistics in faro words and permutations. (English) Zbl 1511.68210 Discrete Math. 344, No. 8, Article ID 112464, 17 p. (2021). MSC: 68R15 05A05 05A15 PDFBibTeX XMLCite \textit{J.-L. Baril} et al., Discrete Math. 344, No. 8, Article ID 112464, 17 p. (2021; Zbl 1511.68210) Full Text: DOI arXiv
Bloom, Jonathan; Burstein, Alexander Egge triples and unbalanced Wilf equivalence. (English) Zbl 1333.05007 Australas. J. Comb. 64, Part 1, 232-251 (2016). MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{J. Bloom} and \textit{A. Burstein}, Australas. J. Comb. 64, Part 1, 232--251 (2016; Zbl 1333.05007) Full Text: arXiv Link
Burstein, Alexander On the distribution of some Euler-Mahonian statistics. (English) Zbl 1323.05005 J. Comb. 6, No. 3, 273-284 (2015). MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{A. Burstein}, J. Comb. 6, No. 3, 273--284 (2015; Zbl 1323.05005) Full Text: DOI arXiv
Burstein, Alexander; Pantone, Jay Two examples of unbalanced Wilf-equivalence. (English) Zbl 1312.05005 J. Comb. 6, No. 1-2, 55-67 (2015). MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{A. Burstein} and \textit{J. Pantone}, J. Comb. 6, No. 1--2, 55--67 (2015; Zbl 1312.05005) Full Text: DOI arXiv
Burstein, Alexander; Elizalde, Sergi Total occurrence statistics on restricted permutations. (English) Zbl 1313.05017 PU.M.A., Pure Math. Appl. 24, No. 2, 103-123 (2013). MSC: 05A15 05A05 05A19 PDFBibTeX XMLCite \textit{A. Burstein} and \textit{S. Elizalde}, PU.M.A., Pure Math. Appl. 24, No. 2, 103--123 (2013; Zbl 1313.05017) Full Text: arXiv
AlSharawi, Z.; Burstein, A.; Deadman, M.; Umar, A. The solution of a recursive sequence arising from a combinatorial problem in botanical epidemiology. (English) Zbl 1274.92048 J. Difference Equ. Appl. 19, No. 6, 981-993 (2013). MSC: 92D30 65Q30 05A05 05A15 PDFBibTeX XMLCite \textit{Z. AlSharawi} et al., J. Difference Equ. Appl. 19, No. 6, 981--993 (2013; Zbl 1274.92048) Full Text: DOI Link
Burstein, Alexander; Jelínek, Vít; Jelínková, Eva; Steingrímsson, Einar The Möbius function of separable and decomposable permutations. (English) Zbl 1228.05008 J. Comb. Theory, Ser. A 118, No. 8, 2346-2364 (2011). Reviewer: Sophie Huczynska (St. Andrews) MSC: 05A05 PDFBibTeX XMLCite \textit{A. Burstein} et al., J. Comb. Theory, Ser. A 118, No. 8, 2346--2364 (2011; Zbl 1228.05008) Full Text: DOI arXiv
Burstein, Alexander A short proof for the number of permutations containing pattern 321 exactly once. (English) Zbl 1229.05006 Electron. J. Comb. 18, No. 2, Research Paper P21, 3 p. (2011). Reviewer: William G. Brown (Montréal) MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{A. Burstein}, Electron. J. Comb. 18, No. 2, Research Paper P21, 3 p. (2011; Zbl 1229.05006) Full Text: EMIS
Burstein, Alexander On joint distribution of adjacencies, descents and some Mahonian statistics. (English. French summary) Zbl 1373.05003 Proceedings of the 22nd annual international conference on formal power series and algebraic combinatorics, FPSAC 2010, San Francisco, USA, August 2–6, 2010. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 601-612 (2010). MSC: 05A05 05E10 PDFBibTeX XMLCite \textit{A. Burstein}, in: Proceedings of the 22nd annual international conference on formal power series and algebraic combinatorics, FPSAC 2010, San Francisco, USA, August 2--6, 2010. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 601--612 (2010; Zbl 1373.05003) Full Text: Link
Burstein, Alexander; Josuat-Vergés, Matthieu; Stromquist, Walter New Dumont permutations. (English) Zbl 1265.05010 PU.M.A., Pure Math. Appl. 21, No. 2, 177-206 (2010). MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{A. Burstein} et al., PU.M.A., Pure Math. Appl. 21, No. 2, 177--206 (2010; Zbl 1265.05010)
Burstein, Alexander; Lankham, Isaiah Restricted patience sorting and barred pattern avoidance. (English) Zbl 1217.05010 Linton, Steve (ed.) et al., Permutation patterns. Proceedings of the 5th conference, Fife, Scotland, June 11–15, 2007. Cambridge: Cambridge University Press (ISBN 978-0-521-72834-8/pbk). London Mathematical Society Lecture Note Series 376, 233-257 (2010). MSC: 05A05 68R05 PDFBibTeX XMLCite \textit{A. Burstein} and \textit{I. Lankham}, Lond. Math. Soc. Lect. Note Ser. 376, 233--257 (2010; Zbl 1217.05010) Full Text: arXiv
Burstein, Alexander; Eriksen, Niklas Combinatorial properties of permutation tableaux. (English) Zbl 1217.05009 Linton, Steve (ed.) et al., Permutation patterns. Proceedings of the 5th conference, Fife, Scotland, June 11–15, 2007. Cambridge: Cambridge University Press (ISBN 978-0-521-72834-8/pbk). London Mathematical Society Lecture Note Series 376, 171-192 (2010). MSC: 05A05 05E10 PDFBibTeX XMLCite \textit{A. Burstein} and \textit{N. Eriksen}, Lond. Math. Soc. Lect. Note Ser. 376, 171--192 (2010; Zbl 1217.05009)
Burstein, Alexander; Hästö, Peter Packing sets of patterns. (English) Zbl 1228.05116 Eur. J. Comb. 31, No. 1, 241-253 (2010). MSC: 05B40 05A05 05A16 PDFBibTeX XMLCite \textit{A. Burstein} and \textit{P. Hästö}, Eur. J. Comb. 31, No. 1, 241--253 (2010; Zbl 1228.05116) Full Text: DOI arXiv
Burstein, A.; Kitaev, S.; Mansour, T. Partially ordered patterns and their combinatorial interpretations. (English) Zbl 1224.05005 PU.M.A., Pure Math. Appl. 18, No. 2-3, 27-38 (2008). MSC: 05A05 05C78 68R15 PDFBibTeX XMLCite \textit{A. Burstein} et al., PU.M.A., Pure Math. Appl. 18, No. 2--3, 27--38 (2008; Zbl 1224.05005)
Burstein, A.; Kitaev, S.; Mansour, T. Counting independent sets in some classes of (almost) regular graphs. (English) Zbl 1224.05004 PU.M.A., Pure Math. Appl. 18, No. 2-3, 17-26 (2008). MSC: 05A05 05A15 30B70 42C05 PDFBibTeX XMLCite \textit{A. Burstein} et al., PU.M.A., Pure Math. Appl. 18, No. 2--3, 17--26 (2008; Zbl 1224.05004) Full Text: arXiv
Burstein, Alexander On some properties of permutation tableaux. (English) Zbl 1141.05002 Ann. Comb. 11, No. 3-4, 355-368 (2007). MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{A. Burstein}, Ann. Comb. 11, No. 3--4, 355--368 (2007; Zbl 1141.05002) Full Text: DOI arXiv
Burstein, Alexander; Elizalde, Sergi; Mansour, Toufik Restricted Dumont permutations, Dyck paths, and noncrossing partitions. (English) Zbl 1111.05002 Discrete Math. 306, No. 22, 2851-2869 (2006). Reviewer: Astrid Reifegerste (Hannover) MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{A. Burstein} et al., Discrete Math. 306, No. 22, 2851--2869 (2006; Zbl 1111.05002) Full Text: DOI arXiv
Burstein, Alexander; Lankham, Isaiah A geometric form for the extended patience sorting algorithm. (English) Zbl 1088.05003 Adv. Appl. Math. 36, No. 2, 106-117 (2006). MSC: 05A05 05A18 05E10 PDFBibTeX XMLCite \textit{A. Burstein} and \textit{I. Lankham}, Adv. Appl. Math. 36, No. 2, 106--117 (2006; Zbl 1088.05003) Full Text: DOI arXiv
Burstein, Alexander; Lankham, Isaiah Combinatorics of patience sorting piles. (English) Zbl 1267.05005 Sémin. Lothar. Comb. 54A, B54Ab, 19 p. (2005). MSC: 05A05 05A18 05E10 PDFBibTeX XMLCite \textit{A. Burstein} and \textit{I. Lankham}, Sémin. Lothar. Comb. 54A, B54Ab, 19 p. (2005; Zbl 1267.05005) Full Text: arXiv EMIS
Burstein, Alexander; Kitaev, Sergey On unavoidable sets of word patterns. (English) Zbl 1088.05002 SIAM J. Discrete Math. 19, No. 2, 371-381 (2005). MSC: 05A05 05A15 68R15 PDFBibTeX XMLCite \textit{A. Burstein} and \textit{S. Kitaev}, SIAM J. Discrete Math. 19, No. 2, 371--381 (2005; Zbl 1088.05002) Full Text: DOI arXiv
Burstein, Alexander Restricted Dumont permutations. (English) Zbl 1073.05004 Ann. Comb. 9, No. 3, 269-280 (2005). MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{A. Burstein}, Ann. Comb. 9, No. 3, 269--280 (2005; Zbl 1073.05004) Full Text: DOI arXiv
Burstein, Alexander; Mansour, Toufik Words restricted by 3-letter generalized multipermutation patterns. (English) Zbl 1017.05001 Ann. Comb. 7, No. 1, 1-14 (2003). MSC: 05A05 05A15 68R15 PDFBibTeX XMLCite \textit{A. Burstein} and \textit{T. Mansour}, Ann. Comb. 7, No. 1, 1--14 (2003; Zbl 1017.05001) Full Text: DOI arXiv
Burstein, Alexander; Mansour, Toufik Words restricted by patterns with at most 2 distinct letters. (English) Zbl 1021.05002 Electron. J. Comb. 9, No. 2, Research paper R3, 14 p. (2002-2003); printed version J. Comb. 9, No. 2, R3 (2002-2003). Reviewer: Timothy R.S.Walsh (Montréal) MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{A. Burstein} and \textit{T. Mansour}, Electron. J. Comb. 9, No. 2, Research paper R3, 14 p. (2003; Zbl 1021.05002) Full Text: arXiv EuDML EMIS
Burstein, Alexander; Wilf, Herbert S. On cyclic strings without long constant blocks. (English) Zbl 0881.05003 Fibonacci Q. 35, No. 3, 240-247 (1997). Reviewer: J.Cigler (Wien) MSC: 05A05 05A15 PDFBibTeX XMLCite \textit{A. Burstein} and \textit{H. S. Wilf}, Fibonacci Q. 35, No. 3, 240--247 (1997; Zbl 0881.05003)