Lei, Na; Chen, Wei; Luo, Zhongxuan; Si, Hang; Gu, Xianfeng Secondary polytope and secondary power diagram. (English) Zbl 1450.52010 Comput. Math. Math. Phys. 59, No. 12, 1965-1981 (2019). MSC: 52B99 14M25 52B10 PDF BibTeX XML Cite \textit{N. Lei} et al., Comput. Math. Math. Phys. 59, No. 12, 1965--1981 (2019; Zbl 1450.52010) Full Text: DOI
Lei, Na; Chen, Wei; Luo, Zhongxuan; Si, Hang; Gu, Xianfeng Secondary power diagram, dual of secondary polytope. (English) Zbl 1451.52008 Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 9th international conference, NUMGRID 2018 / Voronoi 150, celebrating the 150th anniversary of G.F. Voronoi, Moscow, Russia, December 3–5, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 131, 3-24 (2019). MSC: 52B70 52B10 PDF BibTeX XML Cite \textit{N. Lei} et al., Lect. Notes Comput. Sci. Eng. 131, 3--24 (2019; Zbl 1451.52008) Full Text: DOI
Robeva, Elina; Sturmfels, Bernd; Uhler, Caroline Geometry of log-concave density estimation. (English) Zbl 1416.62202 Discrete Comput. Geom. 61, No. 1, 136-160 (2019). MSC: 62G07 62H12 52B12 62G20 PDF BibTeX XML Cite \textit{E. Robeva} et al., Discrete Comput. Geom. 61, No. 1, 136--160 (2019; Zbl 1416.62202) Full Text: DOI
Schröter, Benjamin Multi-splits and tropical linear spaces from nested matroids. (English) Zbl 07035808 Discrete Comput. Geom. 61, No. 3, 661-685 (2019). MSC: 14M 52B PDF BibTeX XML Cite \textit{B. Schröter}, Discrete Comput. Geom. 61, No. 3, 661--685 (2019; Zbl 07035808) Full Text: DOI
Devadoss, Satyan L.; Johnson, Daniel D.; Lee, Justin; Warley, Jackson Geometric realizations of the 3D associahedron (multimedia exposition). (English) Zbl 07236479 Speckmann, Bettina (ed.) et al., 34th international symposium on computational geometry, SoCG 2018, June 11–14, 2018, Budapest, Hungary. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-066-8). LIPIcs – Leibniz International Proceedings in Informatics 99, Article 75, 4 p. (2018). MSC: 68U05 PDF BibTeX XML Cite \textit{S. L. Devadoss} et al., LIPIcs -- Leibniz Int. Proc. Inform. 99, Article 75, 4 p. (2018; Zbl 07236479) Full Text: DOI
Barrera-Cruz, Fidel; Heitsch, Christine; Poznanović, Svetlana On the structure of RNA branching polytopes. (English) Zbl 1401.92153 SIAM J. Appl. Algebra Geom. 2, No. 3, 444-461 (2018). MSC: 92D20 PDF BibTeX XML Cite \textit{F. Barrera-Cruz} et al., SIAM J. Appl. Algebra Geom. 2, No. 3, 444--461 (2018; Zbl 1401.92153) Full Text: DOI
Wang, Han; Zhu, Chun-Gang; Zhao, Xuan-Yi The number of regular control surfaces of toric patch. (English) Zbl 1422.65048 J. Comput. Appl. Math. 329, 280-293 (2018). MSC: 65D17 52B05 PDF BibTeX XML Cite \textit{H. Wang} et al., J. Comput. Appl. Math. 329, 280--293 (2018; Zbl 1422.65048) Full Text: DOI
Drellich, Elizabeth; Gainer-Dewar, Andrew; Harrington, Heather A.; He, Qijun; Heitsch, Christine; Poznanović, Svetlana Geometric combinatorics and computational molecular biology: branching polytopes for RNA sequences. (English) Zbl 1360.92080 Harrington, Heather A. (ed.) et al., Algebraic and geometric methods in discrete mathematics. AMS special session on algebraic and geometric methods in applied discrete mathematics, San Antonio, TX, USA, January 11, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2321-6/pbk; 978-1-4704-3743-5/ebook). Contemporary Mathematics 685, 137-153 (2017). MSC: 92D20 PDF BibTeX XML Cite \textit{E. Drellich} et al., Contemp. Math. 685, 137--153 (2017; Zbl 1360.92080) Full Text: DOI
Dutour Sikirić, Mathieu; Garber, Alexey; Schürmann, Achill; Waldmann, Clara The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices. (English) Zbl 1370.82063 Acta Crystallogr., Sect. A 72, No. 6, 673-683 (2016). MSC: 82D25 PDF BibTeX XML Cite \textit{M. Dutour Sikirić} et al., Acta Crystallogr., Sect. A 72, No. 6, 673--683 (2016; Zbl 1370.82063) Full Text: DOI arXiv
Ceballos, Cesar; Santos, Francisco; Ziegler, Günter M. Many non-equivalent realizations of the associahedron. (English) Zbl 1389.52013 Combinatorica 35, No. 5, 513-551 (2015). Reviewer: Egon Schulte (Boston) MSC: 52B05 52B11 PDF BibTeX XML Cite \textit{C. Ceballos} et al., Combinatorica 35, No. 5, 513--551 (2015; Zbl 1389.52013) Full Text: DOI
Dickenstein, Alicia; Emiris, Ioannis Z.; Fisikopoulos, Vissarion Combinatorics of 4-dimensional resultant polytopes. (English) Zbl 1360.13065 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 173-180 (2013). MSC: 13P15 05E99 14M25 PDF BibTeX XML Cite \textit{A. Dickenstein} et al., in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 173--180 (2013; Zbl 1360.13065) Full Text: DOI
Emiris, Ioannis Z.; Fisikopoulos, Vissarion; Konaxis, Christos; Peñaranda, Luis An oracle-based, output-sensitive algorithm for projections of resultant polytopes. (English) Zbl 1297.68238 Int. J. Comput. Geom. Appl. 23, No. 4-5, 397 (2013). MSC: 68U05 PDF BibTeX XML Cite \textit{I. Z. Emiris} et al., Int. J. Comput. Geom. Appl. 23, No. 4--5, 397 (2013; Zbl 1297.68238) Full Text: DOI
Devadoss, Satyan L.; Shah, Rahul; Shao, Xuancheng; Winston, Ezra Deformations of associahedra and visibility graphs. (English) Zbl 1317.52018 Contrib. Discrete Math. 7, No. 1, 68-81 (2012). MSC: 52B11 57Q10 68R05 PDF BibTeX XML Cite \textit{S. L. Devadoss} et al., Contrib. Discrete Math. 7, No. 1, 68--81 (2012; Zbl 1317.52018) Full Text: Link arXiv
Emiris, Ioannis Z.; Fisikopoulos, Vissarion; Konaxis, Christos; Peñaranda, Luis An output-sensitive algorithm for computing projections of resultant polytopes. (English) Zbl 1293.68288 Proceedings of the 28th annual symposium on computational geometry, SoCG 2012, Chapel Hill, NC, USA, June 17–20, 2012. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-1299-8). 179-188 (2012). MSC: 68U05 PDF BibTeX XML Cite \textit{I. Z. Emiris} et al., in: Proceedings of the 28th annual symposium on computational geometry, SoCG 2012, Chapel Hill, NC, USA, June 17--20, 2012. New York, NY: Association for Computing Machinery (ACM). 179--188 (2012; Zbl 1293.68288) Full Text: DOI
Cox, David A.; Little, John B.; Schenck, Henry K. Toric varieties. (English) Zbl 1223.14001 Graduate Studies in Mathematics 124. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4819-7/hbk). xxiv, 841 p. (2011). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 14-01 14M25 14C17 14C15 PDF BibTeX XML Cite \textit{D. A. Cox} et al., Toric varieties. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1223.14001)
Herrmann, Sven On the facets of the secondary polytope. (English) Zbl 1228.52008 J. Comb. Theory, Ser. A 118, No. 2, 425-447 (2011). Reviewer: Anna Romanowska (Warsaw) MSC: 52B40 05B35 52B05 14T05 PDF BibTeX XML Cite \textit{S. Herrmann}, J. Comb. Theory, Ser. A 118, No. 2, 425--447 (2011; Zbl 1228.52008) Full Text: DOI arXiv
De Loera, Jesús A.; Rambau, Jörg; Santos, Francisco Triangulations. Structures for algorithms and applications. (English) Zbl 1207.52002 Algorithms and Computation in Mathematics 25. Berlin: Springer (ISBN 978-3-642-12970-4/hbk; 978-3-642-12971-1/ebook). xiii, 535 p. (2010). Reviewer: Matthias Beck (San Francisco) MSC: 52-02 52B05 52B11 52B45 52B55 68R05 PDF BibTeX XML Cite \textit{J. A. De Loera} et al., Triangulations. Structures for algorithms and applications. Berlin: Springer (2010; Zbl 1207.52002) Full Text: DOI Backlinks: MO
Herrmann, Sven; Joswig, Michael Totally splittable polytopes. (English) Zbl 1198.52011 Discrete Comput. Geom. 44, No. 1, 149-166 (2010). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52B05 52B35 52B40 PDF BibTeX XML Cite \textit{S. Herrmann} and \textit{M. Joswig}, Discrete Comput. Geom. 44, No. 1, 149--166 (2010; Zbl 1198.52011) Full Text: DOI arXiv
Thomas, Rekha R. Lectures in geometric combinatorics. (English) Zbl 1115.52001 Student Mathematical Library 33. IAS/Park City Mathematical Subseries. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Studies (ISBN 0-8218-4140-8/pbk). viii, 143 p. (2006). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52-01 13-01 52B05 52B35 PDF BibTeX XML Cite \textit{R. R. Thomas}, Lectures in geometric combinatorics. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Studies (2006; Zbl 1115.52001)
Imai, Hiroshi; Masada, Tomonari; Takeuchi, Fumihiko; Imai, Keiko Enumerating triangulations in general dimensions. (English) Zbl 1045.05006 Int. J. Comput. Geom. Appl. 12, No. 6, 455-480 (2002). MSC: 05A15 52B55 65D18 68U05 PDF BibTeX XML Cite \textit{H. Imai} et al., Int. J. Comput. Geom. Appl. 12, No. 6, 455--480 (2002; Zbl 1045.05006) Full Text: DOI
Pfeifle, Julian Secondary polytope of the Cartesian product of two triangles. (English) Zbl 1122.52301 Electronic Geometry Model No. 2000.09.037, no pag. (2000). MSC: 52B11 52B55 PDF BibTeX XML Full Text: Link
Pfeifle, Julian Secondary polytope of the twisted capped prism. (English) Zbl 1052.52008 Electronic Geometry Model No. 2000.09.036, no pag. (2000). MSC: 52B11 52-04 52B55 PDF BibTeX XML Full Text: Link
Pfeifle, Julian Secondary polytope of the prism over the 3-simplex. (English) Zbl 1052.52007 Electronic Geometry Model No. 2000.09.035, no pag. (2000). MSC: 52B11 52-04 52B55 PDF BibTeX XML Full Text: Link
Pfeifle, Julian Secondary polytope of the perturbed “mother of all examples”. (English) Zbl 1053.52018 Electronic Geometry Model No. 2000.09.034, no pag. (2000). MSC: 52B11 52-04 52B55 PDF BibTeX XML Full Text: Link
Pfeifle, Julian Secondary polytope of the “mother of all examples”. (English) Zbl 1053.52017 Electronic Geometry Model No. 2000.09.033, no pag. (2000). MSC: 52B11 52-04 52B55 PDF BibTeX XML Full Text: Link
Pfeifle, Julian Secondary polytope of a cyclic 8-polytope with 12 vertices. (English) Zbl 1052.52006 Electronic Geometry Model No. 2000.09.032, no pag. (2000). MSC: 52B11 52-04 52B55 PDF BibTeX XML Full Text: Link
Pfeifle, Julian Secondary polytope of the 3-cube. (English) Zbl 1052.52005 Electronic Geometry Model No. 2000.09.031, no pag. (2000). MSC: 52B11 52-04 52B55 PDF BibTeX XML Full Text: Link
Michiels, T.; Cools, R. Decomposing the secondary Cayley polytope. (English) Zbl 0957.52003 Discrete Comput. Geom. 23, No. 3, 367-380 (2000). Reviewer: Richard Koch (München) MSC: 52B12 52B11 51M20 PDF BibTeX XML Cite \textit{T. Michiels} and \textit{R. Cools}, Discrete Comput. Geom. 23, No. 3, 367--380 (2000; Zbl 0957.52003) Full Text: DOI
Athanasiadis, Christos A.; De Loera, Jesús A.; Reiner, Victor; Santos, Francisco Fiber polytopes for the projections between cyclic polytopes. (English) Zbl 0952.52010 Eur. J. Comb. 21, No. 1, 19-47 (2000). Reviewer: V.Alexandrov (Novosibirsk) MSC: 52B11 PDF BibTeX XML Cite \textit{C. A. Athanasiadis} et al., Eur. J. Comb. 21, No. 1, 19--47 (2000; Zbl 0952.52010) Full Text: DOI arXiv
Musin, Oleg R. Construction of the Voronoï diagram and secondary polytope. (English) Zbl 0948.68190 Engel, P. (ed.) et al., Voronoï’s impact on modern science. Book II. Transl. from the Ukrainian. Kyiv: Institute of Mathematics. Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 21(2), 105-114 (1998). Reviewer: Franz Aurenhammer (Graz) MSC: 68U05 90C27 05D99 PDF BibTeX XML Cite \textit{O. R. Musin}, in: Voronoï's impact on modern science. Book II. Translated from the Ukrainian. Kyiv: Institute of Mathematics. 105--114 (1998; Zbl 0948.68190)
Babson, E. K.; Billera, L. J. The geometry of products of minors. (English) Zbl 0924.52005 Discrete Comput. Geom. 20, No. 2, 231-249 (1998). Reviewer: J.Linhart (Salzburg) MSC: 52B20 14M25 PDF BibTeX XML Cite \textit{E. K. Babson} and \textit{L. J. Billera}, Discrete Comput. Geom. 20, No. 2, 231--249 (1998; Zbl 0924.52005) Full Text: DOI
De Loera, Jesús A.; Hosten, Serkan; Santos, Francisco; Sturmfels, Bernd The polytope of all triangulations of a point configuration. (English) Zbl 0852.52007 Doc. Math. 1, 103-119 (1996). Reviewer: Horst Martini (Chemnitz) MSC: 52B40 90C27 PDF BibTeX XML Cite \textit{J. A. De Loera} et al., Doc. Math. 1, 113--119 (1996; Zbl 0852.52007) Full Text: EMIS
Billera, Louis J.; Filliman, Paul; Sturmfels, Bernd Constructions and complexity of secondary polytopes. (English) Zbl 0714.52004 Adv. Math. 83, No. 2, 155-179 (1990). Reviewer: H.-D.Hecker MSC: 52B05 52B55 68U05 52B35 68Q25 05B30 PDF BibTeX XML Cite \textit{L. J. Billera} et al., Adv. Math. 83, No. 2, 155--179 (1990; Zbl 0714.52004) Full Text: DOI