Parisi, Matteo; Sherman-Bennett, Melissa; Williams, Lauren K. The \(m=2\) amplituhedron and the hypersimplex: signs, clusters, tilings, Eulerian numbers. (English) Zbl 07751004 Commun. Am. Math. Soc. 3, 329-399 (2023). MSC: 05E14 14M15 52B12 13F60 05B35 11B68 05E45 52B40 PDFBibTeX XMLCite \textit{M. Parisi} et al., Commun. Am. Math. Soc. 3, 329--399 (2023; Zbl 07751004) Full Text: DOI arXiv
Nadeau, Philippe; Tewari, Vasu Remixed Eulerian numbers. (English) Zbl 07724272 Forum Math. Sigma 11, Paper No. e65, 26 p. (2023). MSC: 05A15 52B05 11B68 PDFBibTeX XMLCite \textit{P. Nadeau} and \textit{V. Tewari}, Forum Math. Sigma 11, Paper No. e65, 26 p. (2023; Zbl 07724272) Full Text: DOI arXiv
Pan, Qiongqiong; Zeng, Jiang Cycles of even-odd drop permutations and continued fractions of Genocchi numbers. (English) Zbl 1517.05012 J. Comb. Theory, Ser. A 199, Article ID 105778, 34 p. (2023). MSC: 05A05 11B75 11A55 11B68 52C35 PDFBibTeX XMLCite \textit{Q. Pan} and \textit{J. Zeng}, J. Comb. Theory, Ser. A 199, Article ID 105778, 34 p. (2023; Zbl 1517.05012) Full Text: DOI arXiv
Kühne, Lukas; Maglione, Joshua On the geometry of flag Hilbert-Poincaré series for matroids. (English) Zbl 1516.05024 Algebr. Comb. 6, No. 3, 623-638 (2023). MSC: 05B35 52C40 11M41 11B68 PDFBibTeX XMLCite \textit{L. Kühne} and \textit{J. Maglione}, Algebr. Comb. 6, No. 3, 623--638 (2023; Zbl 1516.05024) Full Text: DOI
Nadeau, Philippe; Tewari, Vasu The permutahedral variety, mixed Eulerian numbers, and principal specializations of Schubert polynomials. (English) Zbl 1509.14099 Int. Math. Res. Not. 2023, No. 5, 3615-3670 (2023). Reviewer: Grant Kopitzke (Grand Rapids) MSC: 14M15 14M17 05E05 05E10 52B20 11B68 14N15 PDFBibTeX XMLCite \textit{P. Nadeau} and \textit{V. Tewari}, Int. Math. Res. Not. 2023, No. 5, 3615--3670 (2023; Zbl 1509.14099) Full Text: DOI arXiv
Hetyei, Gábor Labeling regions in deformations of graphical arrangements. arXiv:2312.06513 Preprint, arXiv:2312.06513 [math.CO] (2023). MSC: 52C35 05A10 05A15 11B68 11B83 BibTeX Cite \textit{G. Hetyei}, ``Labeling regions in deformations of graphical arrangements'', Preprint, arXiv:2312.06513 [math.CO] (2023) Full Text: arXiv OA License
Kühne, Lukas; Maglione, Joshua On the geometry of flag Hilbert-Poincaré series for matroids. (English) Zbl 1515.05043 Sémin. Lothar. Comb. 86B, Article 68, 11 p. (2022). MSC: 05B35 11B68 11S40 52B40 51D25 PDFBibTeX XMLCite \textit{L. Kühne} and \textit{J. Maglione}, Sémin. Lothar. Comb. 86B, Article 68, 11 p. (2022; Zbl 1515.05043) Full Text: arXiv Link
Parisi, Matteo; Sherman-Bennett, Melissa; Williams, Lauren The \(m=2\) amplituhedron and the hypersimplex. (English) Zbl 07692120 Sémin. Lothar. Comb. 86B, Article 31, 12 p. (2022). MSC: 05E14 14M15 52B12 13F60 05B35 11B68 05E45 52B40 PDFBibTeX XMLCite \textit{M. Parisi} et al., Sémin. Lothar. Comb. 86B, Article 31, 12 p. (2022; Zbl 07692120) Full Text: Link
Lazar, Alexander; Wachs, Michelle L. The homogenized linial arrangement and Genocchi numbers. (English) Zbl 1502.52019 Combinatorial Theory 2, No. 1, Paper No. 2, 34 p. (2022). MSC: 52C35 05A05 05A15 05B35 06A07 11B68 PDFBibTeX XMLCite \textit{A. Lazar} and \textit{M. L. Wachs}, Comb. Theory 2, No. 1, Paper No. 2, 34 p. (2022; Zbl 1502.52019) Full Text: DOI arXiv
Brändén, Petter; Jochemko, Katharina The Eulerian transformation. (English) Zbl 1495.05011 Trans. Am. Math. Soc. 375, No. 3, 1917-1931 (2022). Reviewer: Matthias Beck (San Francisco) MSC: 05A15 52B20 26C10 52B05 11B68 PDFBibTeX XMLCite \textit{P. Brändén} and \textit{K. Jochemko}, Trans. Am. Math. Soc. 375, No. 3, 1917--1931 (2022; Zbl 1495.05011) Full Text: DOI arXiv
Batyrev, Victor; Hofscheier, Johannes A generalization of a theorem of White. (English) Zbl 1483.52011 Mosc. J. Comb. Number Theory 10, No. 4, 281-296 (2021). MSC: 52B20 14B05 11B68 PDFBibTeX XMLCite \textit{V. Batyrev} and \textit{J. Hofscheier}, Mosc. J. Comb. Number Theory 10, No. 4, 281--296 (2021; Zbl 1483.52011) Full Text: DOI arXiv Link
Deshpande, Priyavrat; Menon, Krishna; Singh, Anurag Counting regions of the boxed threshold arrangement. (English) Zbl 1464.52015 J. Integer Seq. 24, No. 5, Article 21.5.7, 19 p. (2021). MSC: 52C35 32S22 05C30 11B68 PDFBibTeX XMLCite \textit{P. Deshpande} et al., J. Integer Seq. 24, No. 5, Article 21.5.7, 19 p. (2021; Zbl 1464.52015) Full Text: arXiv Link
Chapoton, F. On some tree-indexed series with one and two parameters. (English) Zbl 1445.05027 Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 431-443 (2020). MSC: 05C05 52B05 11B68 PDFBibTeX XMLCite \textit{F. Chapoton}, Springer Proc. Math. Stat. 314, 431--443 (2020; Zbl 1445.05027) Full Text: DOI
Ayyer, Arvind; Josuat-Vergès, Matthieu; Ramassamy, Sanjay Extensions of partial cyclic orders and consecutive coordinate polytopes. (Extensions d’ordres cycliques partiels et polytopes à coordonnées consécutives.) (English. French summary) Zbl 1443.05004 Ann. Henri Lebesgue 3, 275-297 (2020). MSC: 05A05 05A10 06A75 52B11 52B20 11B68 PDFBibTeX XMLCite \textit{A. Ayyer} et al., Ann. Henri Lebesgue 3, 275--297 (2020; Zbl 1443.05004) Full Text: DOI arXiv
Athanasiadis, Christos A. Binomial Eulerian polynomials for colored permutations. (English) Zbl 1435.05003 J. Comb. Theory, Ser. A 173, Article ID 105214, 38 p. (2020). MSC: 05A05 11B68 05A15 05E05 52B05 PDFBibTeX XMLCite \textit{C. A. Athanasiadis}, J. Comb. Theory, Ser. A 173, Article ID 105214, 38 p. (2020; Zbl 1435.05003) Full Text: DOI arXiv
Marko, František; Litvinov, Semyon Geometry of figurate numbers and sums of powers of consecutive natural numbers. (English) Zbl 1454.11057 Am. Math. Mon. 127, No. 1, 4-22 (2020). MSC: 11B83 11B68 52C22 PDFBibTeX XMLCite \textit{F. Marko} and \textit{S. Litvinov}, Am. Math. Mon. 127, No. 1, 4--22 (2020; Zbl 1454.11057) Full Text: DOI
Shareshian, John; Wachs, Michelle L. Gamma-positivity of variations of Eulerian polynomials. (English) Zbl 1435.11048 J. Comb. 11, No. 1, 1-33 (2020). MSC: 11B68 05E05 11B65 52B20 PDFBibTeX XMLCite \textit{J. Shareshian} and \textit{M. L. Wachs}, J. Comb. 11, No. 1, 1--33 (2020; Zbl 1435.11048) Full Text: DOI arXiv
Haglund, James; Zhang, Philip B. Real-rootedness of variations of Eulerian polynomials. (English) Zbl 1415.05016 Adv. Appl. Math. 109, 38-54 (2019). MSC: 05A15 26C10 52B05 11B68 PDFBibTeX XMLCite \textit{J. Haglund} and \textit{P. B. Zhang}, Adv. Appl. Math. 109, 38--54 (2019; Zbl 1415.05016) Full Text: DOI arXiv
Shishkina, Olga Andreevna Bernoulli polynomials in several variables and summation of monomials over lattice points of a rational parallelotope. (Russian. English summary) Zbl 1348.11021 Izv. Irkutsk. Gos. Univ., Ser. Mat. 16, 89-101 (2016). MSC: 11B68 52B20 PDFBibTeX XMLCite \textit{O. A. Shishkina}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 16, 89--101 (2016; Zbl 1348.11021) Full Text: Link
Han, Guo-Niu; Josuat-Vergès, Matthieu Flag statistics from the Ehrhart \(h^\ast\)-polynomial of multi-hypersimplices. (English) Zbl 1336.05151 Electron. J. Comb. 23, No. 1, Research Paper P1.55, 20 p. (2016). MSC: 05E45 05E15 52B05 05A05 11B68 52B20 PDFBibTeX XMLCite \textit{G.-N. Han} and \textit{M. Josuat-Vergès}, Electron. J. Comb. 23, No. 1, Research Paper P1.55, 20 p. (2016; Zbl 1336.05151) Full Text: arXiv Link
Chapoton, Frédéric; Essouabri, Driss q-Ehrhart polynomials of Gorenstein polytopes, Bernoulli umbra and related Dirichlet series. (English) Zbl 1359.52017 Mosc. J. Comb. Number Theory 5, No. 4, 13-38 (2015). Reviewer: Oleg Karpenkov (Liverpool) MSC: 52B20 11B68 PDFBibTeX XMLCite \textit{F. Chapoton} and \textit{D. Essouabri}, Mosc. J. Comb. Number Theory 5, No. 4, 13--38 (2015; Zbl 1359.52017) Full Text: arXiv Link
Liu, Gaku Mixed volumes of hypersimplices. (English. French summary) Zbl 1335.05013 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, 997-1006 (2015). MSC: 05A15 11B68 52B20 11B75 PDFBibTeX XMLCite \textit{G. Liu}, 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). 997--1006 (2015; Zbl 1335.05013) Full Text: arXiv
Liu, Ricky Ini Laurent polynomials, Eulerian numbers, and Bernstein’s theorem. (English) Zbl 1328.05192 J. Comb. Theory, Ser. A 124, 244-250 (2014). MSC: 05E05 11B68 13F55 52C35 PDFBibTeX XMLCite \textit{R. I. Liu}, J. Comb. Theory, Ser. A 124, 244--250 (2014; Zbl 1328.05192) Full Text: DOI arXiv
Li, Nan Ehrhart \(h^\ast\)-vectors of hypersimplices. (English) Zbl 1294.05010 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, 121-132, electronic only (2013). MSC: 05A10 05E10 52B22 11B68 PDFBibTeX XMLCite \textit{N. Li}, 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). 121--132 (2013; Zbl 1294.05010) Full Text: Link
Schepers, Jan; Van Langenhoven, Leen Unimodality questions for integrally closed lattice polytopes. (English) Zbl 1432.52024 Ann. Comb. 17, No. 3, 571-589 (2013). MSC: 52B20 05A20 11B68 PDFBibTeX XMLCite \textit{J. Schepers} and \textit{L. Van Langenhoven}, Ann. Comb. 17, No. 3, 571--589 (2013; Zbl 1432.52024) Full Text: DOI arXiv
Iwasaki, Katsunori Cubic harmonics and Bernoulli numbers. (English) Zbl 1242.05047 J. Comb. Theory, Ser. A 119, No. 6, 1216-1234 (2012). MSC: 05B30 05E30 11B68 31B05 52B11 PDFBibTeX XMLCite \textit{K. Iwasaki}, J. Comb. Theory, Ser. A 119, No. 6, 1216--1234 (2012; Zbl 1242.05047) Full Text: DOI arXiv
Dilks, Kevin; Petersen, T. Kyle; Stembridge, John R. Affine descents and the Steinberg torus. (English) Zbl 1181.05083 Adv. Appl. Math. 42, No. 4, 423-444 (2009). Reviewer: Shi Jian-yi (Shanghai) MSC: 05E45 52B20 05E15 20F55 11B68 PDFBibTeX XMLCite \textit{K. Dilks} et al., Adv. Appl. Math. 42, No. 4, 423--444 (2009; Zbl 1181.05083) Full Text: DOI arXiv
Herrmann, Sven Genocchi numbers and \(f\)-vectors of simplicial balls. (English) Zbl 1232.11037 Eur. J. Comb. 29, No. 5, 1087-1091 (2008). MSC: 11B75 11B68 52B05 PDFBibTeX XMLCite \textit{S. Herrmann}, Eur. J. Comb. 29, No. 5, 1087--1091 (2008; Zbl 1232.11037) Full Text: DOI arXiv
Fulmek, M.; Krattenthaler, C. The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis. II. (English) Zbl 0965.05010 Eur. J. Comb. 21, No. 5, 601-640 (2000). Reviewer: László A.Székely (Columbia/South Carolina) MSC: 05A15 05A17 05B45 33C20 52C20 PDFBibTeX XMLCite \textit{M. Fulmek} and \textit{C. Krattenthaler}, Eur. J. Comb. 21, No. 5, 601--640 (2000; Zbl 0965.05010) Full Text: DOI arXiv
Pommersheim, James E. Products of cycles and the Todd class of a toric variety. (English) Zbl 0871.14042 J. Am. Math. Soc. 9, No. 3, 813-826 (1996). MSC: 14M25 14C25 52B20 11B68 14E05 PDFBibTeX XMLCite \textit{J. E. Pommersheim}, J. Am. Math. Soc. 9, No. 3, 813--826 (1996; Zbl 0871.14042) Full Text: DOI
Stanley, Richard P. Log-concave and unimodal sequences in algebra, combinatorics, and geometry. (English) Zbl 0792.05008 Capobianco, Michael F. (ed.) et al., Graph theory and its applications: East and West. Proceedings of the first China-USA international conference, held in Jinan, China, June 9-20, 1986. New York: New York Academy of Sciences,. Ann. N. Y. Acad. Sci. 576, 500-535 (1989). MSC: 05A30 05A10 05A17 05E10 05E05 20D60 11B68 05C99 52B05 PDFBibTeX XMLCite \textit{R. P. Stanley}, in: Graph theory and its applications: East and West. Proceedings of the first China-USA international conference, held in Jinan, China, June 9--20, 1986. New York: New York Academy of Sciences. 500--535 (1989; Zbl 0792.05008)