Dershowitz, Nachum Between Broadway and the Hudson: a bijection of corridor paths. (English) Zbl 07327922 J. Integer Seq. 24, No. 2, Article 21.2.8, 19 p. (2021). MSC: 05A15 52B20 PDF BibTeX XML Cite \textit{N. Dershowitz}, J. Integer Seq. 24, No. 2, Article 21.2.8, 19 p. (2021; Zbl 07327922) Full Text: Link
Au, Yu Hin (Gary) Some properties and combinatorial implications of weighted small Schröder numbers. (English) Zbl 1455.05004 J. Integer Seq. 24, No. 1, Article 21.1.1, 21 p. (2021). MSC: 05A15 PDF BibTeX XML Cite \textit{Y. H. Au}, J. Integer Seq. 24, No. 1, Article 21.1.1, 21 p. (2021; Zbl 1455.05004) Full Text: Link
Yang, Sheng-Liang; Jiang, Mei-yang The \(m\)-Schröder paths and \(m\)-Schröder numbers. (English) Zbl 1453.05009 Discrete Math. 344, No. 2, Article ID 112209, 14 p. (2021). MSC: 05A15 05A05 15B36 PDF BibTeX XML Cite \textit{S.-L. Yang} and \textit{M.-y. Jiang}, Discrete Math. 344, No. 2, Article ID 112209, 14 p. (2021; Zbl 1453.05009) Full Text: DOI
Grunspan, Cyril; Perez-Marco, Ricardo Selfish mining in ethereum. (English) Zbl 07304453 Pardalos, Panos (ed.) et al., Mathematical research for blockchain economy. Proceedings of the 2nd international conference on mathematical research for blockchain economy, MARBLE 2020, Vilamoura, Portugal, June 8–10, 2020. Cham: Springer (ISBN 978-3-030-53355-7/hbk; 978-3-030-53356-4/ebook). Springer Proceedings in Business and Economics, 65-90 (2020). MSC: 68M01 60G40 91A60 PDF BibTeX XML Cite \textit{C. Grunspan} and \textit{R. Perez-Marco}, in: Mathematical research for blockchain economy. Proceedings of the 2nd international conference on mathematical research for blockchain economy, MARBLE 2020, Vilamoura, Portugal, June 8--10, 2020. Cham: Springer. 65--90 (2020; Zbl 07304453) Full Text: DOI
Flórez, Rigoberto; Ramírez, José L. Enumerating symmetric and asymmetric peaks in Dyck paths. (English) Zbl 1448.05106 Discrete Math. 343, No. 12, Article ID 112118, 9 p. (2020). MSC: 05C30 05A15 PDF BibTeX XML Cite \textit{R. Flórez} and \textit{J. L. Ramírez}, Discrete Math. 343, No. 12, Article ID 112118, 9 p. (2020; Zbl 1448.05106) Full Text: DOI
Elizalde, Sergi Measuring symmetry in lattice paths and partitions. (English) Zbl 1447.05016 Sémin. Lothar. Comb. 84B, 84B.26, 12 p. (2020). MSC: 05A15 52B20 PDF BibTeX XML Cite \textit{S. Elizalde}, Sémin. Lothar. Comb. 84B, 84B.26, 12 p. (2020; Zbl 1447.05016) Full Text: Link
Rupel, Dylan; Weist, Thorsten Cell decompositions for rank two quiver Grassmannians. (English) Zbl 07238508 Math. Z. 295, No. 3-4, 993-1038 (2020). Reviewer: Matthew Pressland (Leeds) MSC: 16G20 14M15 13F60 PDF BibTeX XML Cite \textit{D. Rupel} and \textit{T. Weist}, Math. Z. 295, No. 3--4, 993--1038 (2020; Zbl 07238508) Full Text: DOI
Dershowitz, Nachum Nonleaf patterns in trees: protected nodes and fine numbers. (English) Zbl 1445.05010 J. Integer Seq. 23, No. 7, Article 20.7.7, 17 p. (2020). Reviewer: K. A. Germina (Kerala) MSC: 05A15 05C05 05C30 PDF BibTeX XML Cite \textit{N. Dershowitz}, J. Integer Seq. 23, No. 7, Article 20.7.7, 17 p. (2020; Zbl 1445.05010) Full Text: Link
Defant, Colin Catalan intervals and uniquely sorted permutations. (English) Zbl 1439.05006 J. Comb. Theory, Ser. A 174, Article ID 105250, 42 p. (2020). MSC: 05A05 05A15 PDF BibTeX XML Cite \textit{C. Defant}, J. Comb. Theory, Ser. A 174, Article ID 105250, 42 p. (2020; Zbl 1439.05006) Full Text: DOI
Chapoton, Frédéric Some properties of a new partial order on Dyck paths. (English) Zbl 1436.05122 Algebr. Comb. 3, No. 2, 433-463 (2020). MSC: 05E10 05A15 05A19 06A07 52B05 PDF BibTeX XML Cite \textit{F. Chapoton}, Algebr. Comb. 3, No. 2, 433--463 (2020; Zbl 1436.05122) Full Text: DOI
Rand, Ian; Scoville, Nicholas A. Discrete Morse functions, vector fields, and homological sequences on trees. (English) Zbl 1435.05242 Involve 13, No. 2, 219-229 (2020). MSC: 05E45 57M15 05C05 68R10 58E05 PDF BibTeX XML Cite \textit{I. Rand} and \textit{N. A. Scoville}, Involve 13, No. 2, 219--229 (2020; Zbl 1435.05242) Full Text: DOI
Gil, Juan B.; McNamara, Peter R. W.; Tirrell, Jordan O.; Weiner, Michael D. From Dyck paths to standard Young tableaux. (English) Zbl 1435.05218 Ann. Comb. 24, No. 1, 69-93 (2020). MSC: 05E10 05A19 05A05 PDF BibTeX XML Cite \textit{J. B. Gil} et al., Ann. Comb. 24, No. 1, 69--93 (2020; Zbl 1435.05218) Full Text: DOI
Yang, Lin; Yang, Sheng-Liang A Chung-Feller property for the generalized Schröder paths. (English) Zbl 1435.05009 Discrete Math. 343, No. 5, Article ID 111826, 11 p. (2020). MSC: 05A05 05A15 05B30 PDF BibTeX XML Cite \textit{L. Yang} and \textit{S.-L. Yang}, Discrete Math. 343, No. 5, Article ID 111826, 11 p. (2020; Zbl 1435.05009) Full Text: DOI
D’Adderio, Michele \(e\)-positivity of vertical strip LLT polynomials. (English) Zbl 1439.05223 J. Comb. Theory, Ser. A 172, Article ID 105212, 15 p. (2020). Reviewer: Arthur L. B. Yang (Tianjin) MSC: 05E05 05E10 PDF BibTeX XML Cite \textit{M. D'Adderio}, J. Comb. Theory, Ser. A 172, Article ID 105212, 15 p. (2020; Zbl 1439.05223) Full Text: DOI
Tasoulas, I.; Manes, K.; Sapounakis, A.; Tsikouras, P. Chains with small intervals in the lattice of binary paths. (English) Zbl 1431.05021 J. Integer Seq. 23, No. 1, Article 20.1.5, 24 p. (2020). MSC: 05A19 05A15 06A07 06B99 PDF BibTeX XML Cite \textit{I. Tasoulas} et al., J. Integer Seq. 23, No. 1, Article 20.1.5, 24 p. (2020; Zbl 1431.05021) Full Text: Link arXiv
Yan, Sherry H. F.; Yu, Yao; Zhou, Hao On self-conjugate \((s,s + 1,\dots,s + k)\)-core partitions. (English) Zbl 1429.05008 Adv. Appl. Math. 113, Article ID 101975, 20 p. (2020). MSC: 05A05 05C30 PDF BibTeX XML Cite \textit{S. H. F. Yan} et al., Adv. Appl. Math. 113, Article ID 101975, 20 p. (2020; Zbl 1429.05008) Full Text: DOI
Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold Water capacity of Dyck paths. (English) Zbl 1427.05005 Adv. Appl. Math. 112, Article ID 101945, 19 p. (2020). MSC: 05A05 05A15 05A16 PDF BibTeX XML Cite \textit{A. Blecher} et al., Adv. Appl. Math. 112, Article ID 101945, 19 p. (2020; Zbl 1427.05005) Full Text: DOI
Yang, Shengliang; Chang, Wenlong Riordan arrays and combinatorial identity. (Chinese. English summary) Zbl 1449.05021 J. Lanzhou Univ. Technol. 45, No. 6, 153-156 (2019). MSC: 05A15 05A19 PDF BibTeX XML Cite \textit{S. Yang} and \textit{W. Chang}, J. Lanzhou Univ. Technol. 45, No. 6, 153--156 (2019; Zbl 1449.05021)
Xia, Suman; Zhao, Feng; Zhao, Tongyuan An area-to-rinv bijection between a class of generalized Dyck paths and relative words with forbidden patterns (312, 212). (English) Zbl 07217246 Ars Comb. 146, 189-213 (2019). MSC: 05A19 05A05 05C05 PDF BibTeX XML Cite \textit{S. Xia} et al., Ars Comb. 146, 189--213 (2019; Zbl 07217246)
López-García, Abey; Prokhorov, Vasiliy A. On random polynomials generated by a symmetric three-term recurrence relation. (English) Zbl 1448.60107 J. Difference Equ. Appl. 25, No. 11, 1604-1643 (2019). MSC: 60G55 42C05 05C05 PDF BibTeX XML Cite \textit{A. López-García} and \textit{V. A. Prokhorov}, J. Difference Equ. Appl. 25, No. 11, 1604--1643 (2019; Zbl 1448.60107) Full Text: DOI arXiv
Rupel, Dylan C. Rank two non-commutative Laurent phenomenon and pseudo-positivity. (English) Zbl 1436.16018 Algebr. Comb. 2, No. 6, 1239-1273 (2019). MSC: 16G20 05E10 13F60 PDF BibTeX XML Cite \textit{D. C. Rupel}, Algebr. Comb. 2, No. 6, 1239--1273 (2019; Zbl 1436.16018) Full Text: DOI
Nakagane, Keita The action of full twist on the superpolynomial for torus knots. (English) Zbl 1422.57039 Topology Appl. 266, Article ID 106841, 6 p. (2019). MSC: 57M27 PDF BibTeX XML Cite \textit{K. Nakagane}, Topology Appl. 266, Article ID 106841, 6 p. (2019; Zbl 1422.57039) Full Text: DOI arXiv
Flórez, Rigoberto; Junes, Leandro; Ramírez, José L. Enumerating several aspects of non-decreasing Dyck paths. (English) Zbl 1419.05017 Discrete Math. 342, No. 11, 3079-3097 (2019). MSC: 05A15 11B39 PDF BibTeX XML Cite \textit{R. Flórez} et al., Discrete Math. 342, No. 11, 3079--3097 (2019; Zbl 1419.05017) Full Text: DOI
Liu, Shao-Hua The operators \(F_i\) on permutations, 132-avoiding permutations and inversions. (English) Zbl 1418.05008 Discrete Math. 342, No. 8, 2402-2414 (2019). MSC: 05A05 PDF BibTeX XML Cite \textit{S.-H. Liu}, Discrete Math. 342, No. 8, 2402--2414 (2019; Zbl 1418.05008) Full Text: DOI
Benedetti, Carolina; D’León, Rafael S. González; Hanusa, Christopher R. H.; Harris, Pamela E.; Khare, Apoorva; Morales, Alejandro H.; Yip, Martha A combinatorial model for computing volumes of flow polytopes. (English) Zbl 1420.05011 Trans. Am. Math. Soc. 372, No. 5, 3369-3404 (2019). MSC: 05A15 05A19 52B05 52A38 05C20 05C21 52B11 PDF BibTeX XML Cite \textit{C. Benedetti} et al., Trans. Am. Math. Soc. 372, No. 5, 3369--3404 (2019; Zbl 1420.05011) Full Text: DOI arXiv
Barnabei, Marilena; Bonetti, Flavio; Castronuovo, Niccolò; Silimbani, Matteo Ascending runs in permutations and valued Dyck paths. (English) Zbl 1416.05006 Ars Math. Contemp. 16, No. 2, 445-463 (2019). MSC: 05A05 05A15 05A19 PDF BibTeX XML Cite \textit{M. Barnabei} et al., Ars Math. Contemp. 16, No. 2, 445--463 (2019; Zbl 1416.05006) Full Text: DOI
Bukata, Michael; Kulwicki, Ryan; Lewandowski, Nicholas; Pudwell, Lara; Roth, Jacob; Wheeland, Teresa Distributions of statistics over pattern-avoiding permutations. (English) Zbl 1407.05005 J. Integer Seq. 22, No. 2, Article 19.2.6, 22 p. (2019). MSC: 05A05 05A10 05A15 05A19 PDF BibTeX XML Cite \textit{M. Bukata} et al., J. Integer Seq. 22, No. 2, Article 19.2.6, 22 p. (2019; Zbl 1407.05005) Full Text: Link arXiv
Baril, Jean-Luc; Kirgizov, Sergey; Petrossian, Armen Enumeration of Łukasiewicz paths modulo some patterns. (English) Zbl 1405.05007 Discrete Math. 342, No. 4, 997-1005 (2019). MSC: 05A15 51M20 PDF BibTeX XML Cite \textit{J.-L. Baril} et al., Discrete Math. 342, No. 4, 997--1005 (2019; Zbl 1405.05007) Full Text: DOI arXiv
Tewari, V.; van Willigenburg, S. Permuted composition tableaux, 0-Hecke algebra and labeled binary trees. (English) Zbl 1400.05272 J. Comb. Theory, Ser. A 161, 420-452 (2019). MSC: 05E10 20C08 PDF BibTeX XML Cite \textit{V. Tewari} and \textit{S. van Willigenburg}, J. Comb. Theory, Ser. A 161, 420--452 (2019; Zbl 1400.05272) Full Text: DOI
Benedetti, Carolina; González D’León, Rafael S.; Hanusa, Christopher R. H.; Harris, Pamela E.; Khare, Apoorva; Morales, Alejandro H.; Yip, Martha The volume of the caracol polytope. (English) Zbl 1415.52005 Sémin. Lothar. Comb. 80B, 80B.87, 12 p. (2018). MSC: 52B11 52A38 PDF BibTeX XML Cite \textit{C. Benedetti} et al., Sémin. Lothar. Comb. 80B, 80B.87, 12 p. (2018; Zbl 1415.52005) Full Text: Link
Gotti, Felix On positroids induced by rational Dyck paths. (English) Zbl 1411.05052 Sémin. Lothar. Comb. 80B, 80B.44, 12 p. (2018). MSC: 05B35 05C38 52B40 14M15 PDF BibTeX XML Cite \textit{F. Gotti}, Sémin. Lothar. Comb. 80B, 80B.44, 12 p. (2018; Zbl 1411.05052) Full Text: Link
Bettinelli, Jérémie Convergence of uniform noncrossing partitions toward the Brownian triangulation. (English) Zbl 1415.52011 Sémin. Lothar. Comb. 80B, 80B.38, 12 p. (2018). MSC: 52C15 PDF BibTeX XML Cite \textit{J. Bettinelli}, Sémin. Lothar. Comb. 80B, 80B.38, 12 p. (2018; Zbl 1415.52011) Full Text: Link arXiv
Barnabei, Marilena; Bonetti, Flavio; Castronuovo, Niccolò; Silimbani, Matteo Motzkin and Catalan tunnel polynomials. (English) Zbl 1403.05011 J. Integer Seq. 21, No. 8, Article 18.8.8, 23 p. (2018). MSC: 05A15 05A05 05A19 PDF BibTeX XML Cite \textit{M. Barnabei} et al., J. Integer Seq. 21, No. 8, Article 18.8.8, 23 p. (2018; Zbl 1403.05011) Full Text: Link
Garsia, Adriano; Xin, Guoce Inverting the rational sweep map. (English) Zbl 1401.05041 J. Comb. 9, No. 4, 659-679 (2018). MSC: 05A19 05A17 05A15 05E05 PDF BibTeX XML Cite \textit{A. Garsia} and \textit{G. Xin}, J. Comb. 9, No. 4, 659--679 (2018; Zbl 1401.05041) Full Text: DOI
Deutsch, Emeric; Elizalde, Sergi A bijection between bargraphs and Dyck paths. (English) Zbl 1401.05146 Discrete Appl. Math. 251, 340-344 (2018). MSC: 05C30 05B50 PDF BibTeX XML Cite \textit{E. Deutsch} and \textit{S. Elizalde}, Discrete Appl. Math. 251, 340--344 (2018; Zbl 1401.05146) Full Text: DOI arXiv
Yang, Sheng-Liang; Dong, Yan-Ni; He, Tian-Xiao; Xu, Yan-Xue A unified approach for the Catalan matrices by using Riordan arrays. (English) Zbl 1397.05017 Linear Algebra Appl. 558, 25-43 (2018). MSC: 05A15 05A05 15A09 15B36 PDF BibTeX XML Cite \textit{S.-L. Yang} et al., Linear Algebra Appl. 558, 25--43 (2018; Zbl 1397.05017) Full Text: DOI
Czabarka, Éva; Flórez, Rigoberto; Junes, Leandro; Ramírez, José L. Enumerations of peaks and valleys on non-decreasing Dyck paths. (English) Zbl 1393.05154 Discrete Math. 341, No. 10, 2789-2807 (2018). MSC: 05C30 05C38 11B39 PDF BibTeX XML Cite \textit{É. Czabarka} et al., Discrete Math. 341, No. 10, 2789--2807 (2018; Zbl 1393.05154) Full Text: DOI
Huang, Harry H. Y.; Wang, Larry X. W. The corners of core partitions. (English) Zbl 1393.05045 SIAM J. Discrete Math. 32, No. 3, 1887-1902 (2018). MSC: 05A17 05A19 11P81 PDF BibTeX XML Cite \textit{H. H. Y. Huang} and \textit{L. X. W. Wang}, SIAM J. Discrete Math. 32, No. 3, 1887--1902 (2018; Zbl 1393.05045) Full Text: DOI
Schumacher, Paul R. F. Descents in parking functions. (English) Zbl 1384.05009 J. Integer Seq. 21, No. 2, Article 18.2.3, 8 p. (2018). MSC: 05A05 05A15 PDF BibTeX XML Cite \textit{P. R. F. Schumacher}, J. Integer Seq. 21, No. 2, Article 18.2.3, 8 p. (2018; Zbl 1384.05009) Full Text: Link
Paramonov, Kirill Cores with distinct parts and bigraded Fibonacci numbers. (English) Zbl 1380.05012 Discrete Math. 341, No. 4, 875-888 (2018). MSC: 05A17 11B39 PDF BibTeX XML Cite \textit{K. Paramonov}, Discrete Math. 341, No. 4, 875--888 (2018; Zbl 1380.05012) Full Text: DOI arXiv
Kaliszewski, Ryan; Karmakar, Debdut A rational Catalan formula for \((m,3)\)-Hikita polynomials. (English) Zbl 1380.05193 Electron. J. Comb. 25, No. 1, Research Paper P1.21, 25 p. (2018). MSC: 05E05 PDF BibTeX XML Cite \textit{R. Kaliszewski} and \textit{D. Karmakar}, Electron. J. Comb. 25, No. 1, Research Paper P1.21, 25 p. (2018; Zbl 1380.05193) Full Text: Link arXiv
Xu, Rongxing; Yeh, Yeong-Nan; Zhu, Xuding List colouring of graphs and generalized Dyck paths. (English) Zbl 1378.05076 Discrete Math. 341, No. 3, 810-819 (2018). MSC: 05C15 05C30 05C38 05C76 PDF BibTeX XML Cite \textit{R. Xu} et al., Discrete Math. 341, No. 3, 810--819 (2018; Zbl 1378.05076) Full Text: DOI arXiv
Amini, Nima Equidistributions of Mahonian statistics over pattern avoiding permutations. (English) Zbl 1386.05003 Electron. J. Comb. 25, No. 1, Research Paper P1.7, 36 p. (2018). MSC: 05A05 05A15 05A19 PDF BibTeX XML Cite \textit{N. Amini}, Electron. J. Comb. 25, No. 1, Research Paper P1.7, 36 p. (2018; Zbl 1386.05003) Full Text: Link arXiv
Chavez, Anastasia; Gotti, Felix Dyck paths and positroids from unit interval orders. (English) Zbl 1373.05211 J. Comb. Theory, Ser. A 154, 507-532 (2018). MSC: 05E15 05C38 14M15 PDF BibTeX XML Cite \textit{A. Chavez} and \textit{F. Gotti}, J. Comb. Theory, Ser. A 154, 507--532 (2018; Zbl 1373.05211) Full Text: DOI
Qiu, Dun; Remmel, Jeffrey B. Quadrant marked mesh patterns in 123-avoiding permutations. (English) Zbl 1401.05313 Discrete Math. Theor. Comput. Sci. 19, No. 2, Paper No. 12, 49 p. (2017). MSC: 05E15 15A15 20B30 PDF BibTeX XML Cite \textit{D. Qiu} and \textit{J. B. Remmel}, Discrete Math. Theor. Comput. Sci. 19, No. 2, Paper No. 12, 49 p. (2017; Zbl 1401.05313) Full Text: Link arXiv
Chavez, Anastasia; Gotti, Felix Dyck paths and positroids from unit interval orders. (English) Zbl 1385.05025 Sémin. Lothar. Comb. 78B, 78B.81, 12 p. (2017). MSC: 05B20 05E05 06A07 14M15 PDF BibTeX XML Cite \textit{A. Chavez} and \textit{F. Gotti}, Sémin. Lothar. Comb. 78B, 78B.81, 12 p. (2017; Zbl 1385.05025) Full Text: Link arXiv
Rubey, Martin; Stump, Christian Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley bijection. (English) Zbl 1384.05048 J. Integer Seq. 20, No. 9, Article 17.9.6, 9 p. (2017). MSC: 05A19 PDF BibTeX XML Cite \textit{M. Rubey} and \textit{C. Stump}, J. Integer Seq. 20, No. 9, Article 17.9.6, 9 p. (2017; Zbl 1384.05048) Full Text: Link arXiv Backlinks: MO
Aker, Kürşat; Gürsoy, Ayşın Erkan A new combinatorial identity for Catalan numbers. (English) Zbl 06837002 Ars Comb. 135, 391-398 (2017). MSC: 05A19 05A15 PDF BibTeX XML Cite \textit{K. Aker} and \textit{A. E. Gürsoy}, Ars Comb. 135, 391--398 (2017; Zbl 06837002)
Mütze, Torsten; Standke, Christoph; Wiechert, Veit A minimum-change version of the Chung-Feller theorem for Dyck paths. (English) Zbl 1378.05108 Drmota, Michael (ed.) et al., Extended abstracts of the ninth European conference on combinatorics, graph theory and applications, EuroComb 2017, Vienna, Austria, August 28 – September 1, 2017. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 61, 901-907 (2017). MSC: 05C38 05C12 PDF BibTeX XML Cite \textit{T. Mütze} et al., Electron. Notes Discrete Math. 61, 901--907 (2017; Zbl 1378.05108) Full Text: DOI
Kangro, Kairi; Pourmoradnasseri, Mozhgan; Theis, Dirk Oliver Short note on the number of 1-ascents in dispersed Dyck paths. (English) Zbl 1386.05008 Discrete Math. Algorithms Appl. 9, No. 6, Article ID 1750077, 8 p. (2017). MSC: 05A15 11Y55 82B41 PDF BibTeX XML Cite \textit{K. Kangro} et al., Discrete Math. Algorithms Appl. 9, No. 6, Article ID 1750077, 8 p. (2017; Zbl 1386.05008) Full Text: DOI arXiv
Salberger, Olof; Korepin, Vladimir Entangled spin chain. (English) Zbl 1378.81022 Rev. Math. Phys. 29, No. 10, Article ID 1750031, 20 p. (2017). MSC: 81P68 81P40 82B20 82D40 82B41 68Q12 PDF BibTeX XML Cite \textit{O. Salberger} and \textit{V. Korepin}, Rev. Math. Phys. 29, No. 10, Article ID 1750031, 20 p. (2017; Zbl 1378.81022) Full Text: DOI
Kang, Seok-Jin; Lee, Kyu-Hwan; Lee, Kyungyong A combinatorial approach to root multiplicities of rank 2 hyperbolic Kac-Moody algebras. (English) Zbl 1433.17033 Commun. Algebra 45, No. 11, 4785-4800 (2017). MSC: 17B67 17B22 05E16 PDF BibTeX XML Cite \textit{S.-J. Kang} et al., Commun. Algebra 45, No. 11, 4785--4800 (2017; Zbl 1433.17033) Full Text: DOI arXiv
Rodríguez Caballero, José Manuel Symmetric Dyck paths and Hooley’s \(\varDelta\)-function. (English) Zbl 1405.68273 Brlek, Srečko (ed.) et al., Combinatorics on words. 11th international conference, WORDS 2017, Montréal, QC, Canada, September 11–15, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-66395-1/pbk; 978-3-319-66396-8/ebook). Lecture Notes in Computer Science 10432, 252-261 (2017). MSC: 11B75 05A15 11N56 68R15 PDF BibTeX XML Cite \textit{J. M. Rodríguez Caballero}, Lect. Notes Comput. Sci. 10432, 252--261 (2017; Zbl 1405.68273) Full Text: DOI
Mühle, Henri A Heyting algebra on Dyck paths of type \(A\) and \(B\). (English) Zbl 1392.06006 Order 34, No. 2, 327-348 (2017). Reviewer: Guram Bezhanishvili (Las Cruces) MSC: 06D20 06D05 06A07 PDF BibTeX XML Cite \textit{H. Mühle}, Order 34, No. 2, 327--348 (2017; Zbl 1392.06006) Full Text: DOI
Morales, Alejandro H.; Pak, Igor; Panova, Greta Hook formulas for skew shapes. II: Combinatorial proofs and enumerative applications. (English) Zbl 1370.05007 SIAM J. Discrete Math. 31, No. 3, 1953-1989 (2017). MSC: 05A05 05A15 05E05 05A19 PDF BibTeX XML Cite \textit{A. H. Morales} et al., SIAM J. Discrete Math. 31, No. 3, 1953--1989 (2017; Zbl 1370.05007) Full Text: DOI arXiv
Baril, Jean-Luc; Kirgizov, Sergey The pure descent statistic on permutations. (English) Zbl 1367.05004 Discrete Math. 340, No. 10, 2550-2558 (2017). MSC: 05A05 05A15 11B73 PDF BibTeX XML Cite \textit{J.-L. Baril} and \textit{S. Kirgizov}, Discrete Math. 340, No. 10, 2550--2558 (2017; Zbl 1367.05004) Full Text: DOI
Lu, Qing Lin Skew Motzkin paths. (English) Zbl 1362.05011 Acta Math. Sin., Engl. Ser. 33, No. 5, 657-667 (2017). MSC: 05A15 05A10 PDF BibTeX XML Cite \textit{Q. L. Lu}, Acta Math. Sin., Engl. Ser. 33, No. 5, 657--667 (2017; Zbl 1362.05011) Full Text: DOI
Geffner, Ivan; Noy, Marc Counting outerplanar maps. (English) Zbl 1361.05065 Electron. J. Comb. 24, No. 2, Research Paper P2.3, 8 p. (2017). MSC: 05C30 05C10 05A15 PDF BibTeX XML Cite \textit{I. Geffner} and \textit{M. Noy}, Electron. J. Comb. 24, No. 2, Research Paper P2.3, 8 p. (2017; Zbl 1361.05065) Full Text: Link
Préville-Ratelle, Louis-François; Viennot, Xavier The enumeration of generalized Tamari intervals. (English) Zbl 1433.05323 Trans. Am. Math. Soc. 369, No. 7, 5219-5239 (2017). Reviewer: Bernd Schröder (Hattiesburg) MSC: 05E10 05A15 05E16 06A07 PDF BibTeX XML Cite \textit{L.-F. Préville-Ratelle} and \textit{X. Viennot}, Trans. Am. Math. Soc. 369, No. 7, 5219--5239 (2017; Zbl 1433.05323) Full Text: DOI
Bergeron, François Bounded height interlaced pairs of parking functions. (English) Zbl 1357.05147 Discrete Math. 340, No. 5, 1054-1058 (2017). MSC: 05E05 05A15 PDF BibTeX XML Cite \textit{F. Bergeron}, Discrete Math. 340, No. 5, 1054--1058 (2017; Zbl 1357.05147) Full Text: DOI arXiv
Dershowitz, Nachum Touchard’s Drunkard. (English) Zbl 1352.05014 J. Integer Seq. 20, No. 1, Article 17.1.5, 13 p. (2017). MSC: 05A15 05A19 05C30 05C81 PDF BibTeX XML Cite \textit{N. Dershowitz}, J. Integer Seq. 20, No. 1, Article 17.1.5, 13 p. (2017; Zbl 1352.05014) Full Text: EMIS
Leung, Ho-Hon An alternative formula for Catalan numbers. (English) Zbl 1357.05014 Far East J. Math. Sci. (FJMS) 100, No. 12, 2041-2046 (2016). MSC: 05A19 05A10 PDF BibTeX XML Cite \textit{H.-H. Leung}, Far East J. Math. Sci. (FJMS) 100, No. 12, 2041--2046 (2016; Zbl 1357.05014) Full Text: DOI Link
Madras, Neal; Pehlivan, Lerna Structure of random \(312\)-avoiding permutations. (English) Zbl 1349.05006 Random Struct. Algorithms 49, No. 3, 599-631 (2016). MSC: 05A05 60G50 PDF BibTeX XML Cite \textit{N. Madras} and \textit{L. Pehlivan}, Random Struct. Algorithms 49, No. 3, 599--631 (2016; Zbl 1349.05006) Full Text: DOI arXiv
Wang, Carol J. Permutation tableaux, restricted set partitions and labeled Dyck paths. (English) Zbl 1413.05007 Ars Comb. 127, 15-32 (2016). MSC: 05A05 05A18 05A19 PDF BibTeX XML Cite \textit{C. J. Wang}, Ars Comb. 127, 15--32 (2016; Zbl 1413.05007)
Ferrari, Luca Dyck algebras, interval temporal logic, and posets of intervals. (English) Zbl 06641544 SIAM J. Discrete Math. 30, No. 4, 1918-1937 (2016). MSC: 03B44 06A07 06D20 68R05 PDF BibTeX XML Cite \textit{L. Ferrari}, SIAM J. Discrete Math. 30, No. 4, 1918--1937 (2016; Zbl 06641544) Full Text: DOI arXiv
Hartwig, Jonas T.; Rosso, Daniele Cylindrical Dyck paths and the Mazorchuk-Turowska equation. (English) Zbl 1342.05008 J. Algebr. Comb. 44, No. 1, 223-247 (2016). MSC: 05A10 16S35 PDF BibTeX XML Cite \textit{J. T. Hartwig} and \textit{D. Rosso}, J. Algebr. Comb. 44, No. 1, 223--247 (2016; Zbl 1342.05008) Full Text: DOI arXiv
Cameron, Naiomi T.; Mcleod, Jillian E. Returns and hills on generalized Dyck paths. (English) Zbl 1339.05015 J. Integer Seq. 19, No. 6, Article 16.6.1, 28 p. (2016). MSC: 05A15 05A16 05A19 11B83 PDF BibTeX XML Cite \textit{N. T. Cameron} and \textit{J. E. Mcleod}, J. Integer Seq. 19, No. 6, Article 16.6.1, 28 p. (2016; Zbl 1339.05015) Full Text: EMIS
Manes, K.; Sapounakis, A.; Tasoulas, I.; Tsikouras, P. Equivalence classes of ballot paths modulo strings of length 2 and 3. (English) Zbl 1339.05019 Discrete Math. 339, No. 10, 2557-2572 (2016). MSC: 05A15 11B39 PDF BibTeX XML Cite \textit{K. Manes} et al., Discrete Math. 339, No. 10, 2557--2572 (2016; Zbl 1339.05019) Full Text: DOI arXiv
Barnabei, Marilena; Bonetti, Flavio; Castronuovo, Niccolò; Cori, Robert Some permutations on Dyck words. (English) Zbl 1345.68244 Theor. Comput. Sci. 635, 51-63 (2016). Reviewer: Zoltán Kása (Cluj-Napoca) MSC: 68R15 PDF BibTeX XML Cite \textit{M. Barnabei} et al., Theor. Comput. Sci. 635, 51--63 (2016; Zbl 1345.68244) Full Text: DOI
Gao, Alice L. L.; Kitaev, Sergey; Zhang, Philip B. Avoiding vincular patterns on alternating words. (English) Zbl 1336.05002 Discrete Math. 339, No. 8, 2079-2093 (2016). MSC: 05A05 05A15 11B73 PDF BibTeX XML Cite \textit{A. L. L. Gao} et al., Discrete Math. 339, No. 8, 2079--2093 (2016; Zbl 1336.05002) Full Text: DOI arXiv
Li, Changsong Temperley-Lieb algebra approach to Catalan states of generalized crossing and lattice crossing. (English) Zbl 1347.57021 J. Knot Theory Ramifications 25, No. 5, Article ID 1650027, 27 p. (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 57M99 PDF BibTeX XML Cite \textit{C. Li}, J. Knot Theory Ramifications 25, No. 5, Article ID 1650027, 27 p. (2016; Zbl 1347.57021) Full Text: DOI
Ceballos, Cesar; Denton, Tom; Hanusa, Christopher R. H. Combinatorics of the zeta map on rational Dyck paths. (English) Zbl 1334.05007 J. Comb. Theory, Ser. A 141, 33-77 (2016). MSC: 05A15 PDF BibTeX XML Cite \textit{C. Ceballos} et al., J. Comb. Theory, Ser. A 141, 33--77 (2016; Zbl 1334.05007) Full Text: DOI arXiv
Wang, Victor Y. Simultaneous core partitions: parameterizations and sums. (English) Zbl 1329.05019 Electron. J. Comb. 23, No. 1, Research Paper P1.4, 34 p. (2016). MSC: 05A15 05A17 05E10 05E18 PDF BibTeX XML Cite \textit{V. Y. Wang}, Electron. J. Comb. 23, No. 1, Research Paper P1.4, 34 p. (2016; Zbl 1329.05019) Full Text: Link arXiv
Brádler, Kamil Hiking a generalized Dyck path: a tractable way of calculating multimode boson evolution operators. (English) Zbl 1360.81352 Comput. Phys. Commun. 196, 80-91 (2015). MSC: 81V80 81V70 PDF BibTeX XML Cite \textit{K. Brádler}, Comput. Phys. Commun. 196, 80--91 (2015; Zbl 1360.81352) Full Text: DOI arXiv
Castronuovo, Niccoló The dominance order for permutations. (English) Zbl 1374.05235 PU.M.A., Pure Math. Appl. 25, No. 1, 45-62 (2015). MSC: 05E10 05A05 05A19 PDF BibTeX XML Cite \textit{N. Castronuovo}, PU.M.A., Pure Math. Appl. 25, No. 1, 45--62 (2015; Zbl 1374.05235) Full Text: DOI
Hille, Lutz Tilting modules over the path algebra of type \(\mathbb{A}\), polytopes, and Catalan numbers. (English) Zbl 1347.16011 Avitabile, Marina (ed.) et al., Lie algebras and related topics. Workshop on Lie algebras, in honor of Helmut Strade’s 70th birthday, Università degli Studi di Milano-Bicocca, Milano, Italy, May 22–24, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1023-0/pbk; 978-1-4704-2815-0/ebook). Contemporary Mathematics 652, 91-101 (2015). MSC: 16G20 16E30 05A19 05A10 52B20 17B22 PDF BibTeX XML Cite \textit{L. Hille}, Contemp. Math. 652, 91--101 (2015; Zbl 1347.16011) Full Text: DOI
Li, ShanHai; Ma, Jun; Yeh, YeongNan Uniform partition extensions, a generating functions perspective. (English) Zbl 1339.05017 Sci. China, Math. 58, No. 12, 2655-2670 (2015). MSC: 05A15 05A18 PDF BibTeX XML Cite \textit{S. Li} et al., Sci. China, Math. 58, No. 12, 2655--2670 (2015; Zbl 1339.05017) Full Text: DOI
Kaliszewski, Ryan; Li, Huilan The \((m,n)\)-rational \(q,t\)-Catalan polynomials for \(m=3\) and their \(q,t\)-symmetry. (English. French summary) Zbl 1335.05024 Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6–10, 2015. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 769-780 (2015). MSC: 05A30 05A15 PDF BibTeX XML Cite \textit{R. Kaliszewski} and \textit{H. Li}, in: Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6--10, 2015. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 769--780 (2015; Zbl 1335.05024) Full Text: Link arXiv
Lu, Qinglin Enumeration of \(k\)-colored skew Dyck paths. (Chinese. English summary) Zbl 1340.05140 J. East China Norm. Univ., Nat. Sci. Ed. 2015, No. 3, 31-37 (2015). MSC: 05C38 05C30 PDF BibTeX XML Cite \textit{Q. Lu}, J. East China Norm. Univ., Nat. Sci. Ed. 2015, No. 3, 31--37 (2015; Zbl 1340.05140) Full Text: DOI
Chen, Pingge; Mei, Zhousheng; Wang, Suijie Inversion formulae on permutations avoiding 321. (English) Zbl 1326.05004 Electron. J. Comb. 22, No. 4, Research Paper P4.28, 9 p. (2015). MSC: 05A05 05A15 PDF BibTeX XML Cite \textit{P. Chen} et al., Electron. J. Comb. 22, No. 4, Research Paper P4.28, 9 p. (2015; Zbl 1326.05004) Full Text: Link
Roman, Steven An introduction to Catalan numbers. (English) Zbl 1342.05002 Compact Textbooks in Mathematics. Cham: Birkhäuser/Springer (ISBN 978-3-319-22143-4/hbk; 978-3-319-22144-1/ebook). xii, 121 p. (2015). Reviewer: László A. Székely (Columbia) MSC: 05-01 05A10 05A15 11B65 11B75 11B83 PDF BibTeX XML Cite \textit{S. Roman}, An introduction to Catalan numbers. Cham: Birkhäuser/Springer (2015; Zbl 1342.05002) Full Text: DOI
Kallipoliti, Myrto; Mühle, Henri The \(m\)-cover posets and their applications. (English) Zbl 1347.06004 Adv. Appl. Math. 69, 65-108 (2015). MSC: 06A07 PDF BibTeX XML Cite \textit{M. Kallipoliti} and \textit{H. Mühle}, Adv. Appl. Math. 69, 65--108 (2015; Zbl 1347.06004) Full Text: DOI arXiv
Mallows, Colin; Vanderbei, Robert J. Which Young tableaux can represent an outer sum? (English) Zbl 1327.05334 J. Integer Seq. 18, No. 9, Article 15.9.1, 8 p. (2015). MSC: 05E05 05E10 20C30 17B10 PDF BibTeX XML Cite \textit{C. Mallows} and \textit{R. J. Vanderbei}, J. Integer Seq. 18, No. 9, Article 15.9.1, 8 p. (2015; Zbl 1327.05334) Full Text: EMIS
Capparelli, Stefano; Del Fra, Alberto Dyck paths, Motzkin paths, and the binomial transform. (English) Zbl 1320.05007 J. Integer Seq. 18, No. 8, Article 15.8.5, 20 p. (2015). MSC: 05A15 05A99 33C45 PDF BibTeX XML Cite \textit{S. Capparelli} and \textit{A. Del Fra}, J. Integer Seq. 18, No. 8, Article 15.8.5, 20 p. (2015; Zbl 1320.05007) Full Text: EMIS arXiv
Lee, Kyungyong; Li, Li; Mills, Matthew R. A combinatorial formula for certain elements of upper cluster algebras. (English) Zbl 1368.13022 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 049, 24 p. (2015). Reviewer: Jenna Rajchgot (Saskatchewan) MSC: 13F60 PDF BibTeX XML Cite \textit{K. Lee} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 049, 24 p. (2015; Zbl 1368.13022) Full Text: DOI EMIS arXiv
Czabarka, Éva; Flórez, Rigoberto; Junes, Leandro A discrete convolution on the generalized Hosoya triangle. (English) Zbl 1310.11021 J. Integer Seq. 18, No. 1, Article 15.1.6, 22 p. (2015). MSC: 11B39 05A10 PDF BibTeX XML Cite \textit{É. Czabarka} et al., J. Integer Seq. 18, No. 1, Article 15.1.6, 22 p. (2015; Zbl 1310.11021) Full Text: EMIS
Stanley, Richard P. Catalan numbers. (English) Zbl 1317.05010 Cambridge: Cambridge University Press (ISBN 978-1-107-07509-2/hbk; 978-1-107-42774-7/pbk; 978-1-139-87149-5/ebook). viii, 215 p. (2015). Reviewer: László A. Székely (Columbia) MSC: 05A10 05-01 05A15 11B65 11B75 11B83 PDF BibTeX XML Cite \textit{R. P. Stanley}, Catalan numbers. Cambridge: Cambridge University Press (2015; Zbl 1317.05010) Full Text: DOI
Billera, Louis J.; Levine, Lionel; Mészáros, Karola How to decompose a permutation into a pair of labeled Dyck paths by playing a game. (English) Zbl 1308.05008 Proc. Am. Math. Soc. 143, No. 5, 1865-1873 (2015). MSC: 05A15 05A05 05A30 91A10 PDF BibTeX XML Cite \textit{L. J. Billera} et al., Proc. Am. Math. Soc. 143, No. 5, 1865--1873 (2015; Zbl 1308.05008) Full Text: DOI arXiv
Baril, Jean-Luc; Petrossian, Armen Equivalence classes of Dyck paths modulo some statistics. (English) Zbl 1305.05006 Discrete Math. 338, No. 4, 655-660 (2015). MSC: 05A15 11B39 PDF BibTeX XML Cite \textit{J.-L. Baril} and \textit{A. Petrossian}, Discrete Math. 338, No. 4, 655--660 (2015; Zbl 1305.05006) Full Text: DOI
Czabarka, Éva; Flórez, Rigoberto; Junes, Leandro Some enumerations on non-decreasing Dyck paths. (English) Zbl 1305.05009 Electron. J. Comb. 22, No. 1, Research Paper P1.3, 22 p. (2015). MSC: 05A15 11B39 PDF BibTeX XML Cite \textit{É. Czabarka} et al., Electron. J. Comb. 22, No. 1, Research Paper P1.3, 22 p. (2015; Zbl 1305.05009) Full Text: Link
Baril, J.-L.; Pallo, J.-M. Motzkin subposets and Motzkin geodesics in Tamari lattices. (English) Zbl 1334.06002 Inf. Process. Lett. 114, No. 1-2, 31-37 (2014). MSC: 06A07 05A15 PDF BibTeX XML Cite \textit{J. L. Baril} and \textit{J. M. Pallo}, Inf. Process. Lett. 114, No. 1--2, 31--37 (2014; Zbl 1334.06002) Full Text: DOI
Allen, Emily; Gheorghiciuc, Irina A weighted interpretation for the super Catalan numbers. (English) Zbl 1309.05017 J. Integer Seq. 17, No. 10, Article 14.10.7, 9 p. (2014). MSC: 05A15 05A19 11B65 PDF BibTeX XML Cite \textit{E. Allen} and \textit{I. Gheorghiciuc}, J. Integer Seq. 17, No. 10, Article 14.10.7, 9 p. (2014; Zbl 1309.05017) Full Text: EMIS arXiv
Manes, K.; Sapounakis, A.; Tasoulas, I.; Tsikouras, P. Nonleft peaks in Dyck paths: a combinatorial approach. (English) Zbl 1301.05197 Discrete Math. 337, 97-105 (2014). MSC: 05C38 05C30 PDF BibTeX XML Cite \textit{K. Manes} et al., Discrete Math. 337, 97--105 (2014; Zbl 1301.05197) Full Text: DOI
Blanco, Saúl A.; Petersen, T. Kyle Counting Dyck paths by area and rank. (English) Zbl 1295.05026 Ann. Comb. 18, No. 2, 171-197 (2014). MSC: 05A15 05A19 PDF BibTeX XML Cite \textit{S. A. Blanco} and \textit{T. K. Petersen}, Ann. Comb. 18, No. 2, 171--197 (2014; Zbl 1295.05026) Full Text: DOI arXiv
Oste, Roy; Van der Jeugt, Joris The Wigner distribution function for the \(\mathfrak {su}(2)\) finite oscillator and Dyck paths. (English) Zbl 1307.81045 J. Phys. A, Math. Theor. 47, No. 28, Article ID 285301, 16 p. (2014). MSC: 81R12 81S30 PDF BibTeX XML Cite \textit{R. Oste} and \textit{J. Van der Jeugt}, J. Phys. A, Math. Theor. 47, No. 28, Article ID 285301, 16 p. (2014; Zbl 1307.81045) Full Text: DOI arXiv
Hu, Yangzhou On the number of fixed-length semiorders. (English) Zbl 1292.05026 J. Integer Seq. 17, No. 1, Article 14.1.6, 23 p. (2014). MSC: 05A15 05A19 PDF BibTeX XML Cite \textit{Y. Hu}, J. Integer Seq. 17, No. 1, Article 14.1.6, 23 p. (2014; Zbl 1292.05026) Full Text: EMIS
Ferrari, Luca; Munarini, Emanuele Enumeration of edges in some lattices of paths. (English) Zbl 1292.05024 J. Integer Seq. 17, No. 1, Article 14.1.5, 22 p. (2014). MSC: 05A15 05A05 06A07 06D05 PDF BibTeX XML Cite \textit{L. Ferrari} and \textit{E. Munarini}, J. Integer Seq. 17, No. 1, Article 14.1.5, 22 p. (2014; Zbl 1292.05024) Full Text: EMIS arXiv
Bacher, Axel; Bernini, Antonio; Ferrari, Luca; Gunby, Benjamin; Pinzani, Renzo; West, Julian The Dyck pattern poset. (English) Zbl 1281.05009 Discrete Math. 321, 12-23 (2014). MSC: 05A15 PDF BibTeX XML Cite \textit{A. Bacher} et al., Discrete Math. 321, 12--23 (2014; Zbl 1281.05009) Full Text: DOI arXiv
Velichko, I. G.; Zinchenko, A. I. \(V\)-graphs and their relation to the problem of locating objects in a plane. (Russian. English summary) Zbl 07310225 Prikl. Diskretn. Mat. 2013, No. 4(22), 41-46 (2013). MSC: 37 68 PDF BibTeX XML Cite \textit{I. G. Velichko} and \textit{A. I. Zinchenko}, Prikl. Diskretn. Mat. 2013, No. 4(22), 41--46 (2013; Zbl 07310225) Full Text: MNR
Huan, Poyi; Ma, Jun; Yeh, Yeong-Nan Non-decreasing \(k\)-flaw preference sets. (English) Zbl 1299.06005 Southeast Asian Bull. Math. 37, No. 4, 515-535 (2013). MSC: 06A07 05A15 91B08 PDF BibTeX XML Cite \textit{P. Huan} et al., Southeast Asian Bull. Math. 37, No. 4, 515--535 (2013; Zbl 1299.06005)