Villarreal, Rafael H. A duality theorem for the ic-resurgence of edge ideals. (English) Zbl 1505.13021 Eur. J. Comb. 109, Article ID 103656, 18 p. (2023). Reviewer: Jorge Neves (Coimbra) MSC: 13C70 13F55 05E40 PDFBibTeX XMLCite \textit{R. H. Villarreal}, Eur. J. Comb. 109, Article ID 103656, 18 p. (2023; Zbl 1505.13021) Full Text: DOI arXiv
Grisalde, Gonzalo; Seceleanu, Alexandra; Villarreal, Rafael H. Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals. (English) Zbl 1481.13029 Res. Math. Sci. 9, No. 1, Paper No. 13, 33 p. (2022). Reviewer: Hero Saremi (Sanandaj) MSC: 13C70 13F20 13F55 05E40 13A30 13B22 PDFBibTeX XMLCite \textit{G. Grisalde} et al., Res. Math. Sci. 9, No. 1, Paper No. 13, 33 p. (2022; Zbl 1481.13029) Full Text: DOI arXiv
Bastrakov, S. I.; Churkin, A. V.; Zolotykh, N. Yu. Accelerating Fourier-Motzkin elimination using bit pattern trees. (English) Zbl 1491.15025 Optim. Methods Softw. 36, No. 5, 1082-1095 (2021). MSC: 15A39 15A06 52B11 65F10 68U05 PDFBibTeX XMLCite \textit{S. I. Bastrakov} et al., Optim. Methods Softw. 36, No. 5, 1082--1095 (2021; Zbl 1491.15025) Full Text: DOI
Deza, Michel; Dutour Sikirić, Mathieu The hypermetric cone and polytope on eight vertices and some generalizations. (English) Zbl 1390.68716 J. Symb. Comput. 88, 67-84 (2018). MSC: 68U05 52B20 52C25 68W30 PDFBibTeX XMLCite \textit{M. Deza} and \textit{M. Dutour Sikirić}, J. Symb. Comput. 88, 67--84 (2018; Zbl 1390.68716) Full Text: DOI
Toth, Csaba D. (ed.); Goodman, Jacob E. (ed.); O’Rourke, Joseph (ed.) Handbook of discrete and computational geometry. 3rd revised and updated edition. (English) Zbl 1375.52001 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4987-1139-5/hbk; 978-1-4987-1142-5/ebook). xxi, 1927 p. (2017). MSC: 52-02 51Exx 65D18 68U05 05B35 11-02 05-02 68-02 PDFBibTeX XMLCite \textit{C. D. Toth} (ed.) et al., Handbook of discrete and computational geometry. 3rd revised and updated edition. Boca Raton, FL: CRC Press (2017; Zbl 1375.52001) Full Text: Link
Assarf, Benjamin; Gawrilow, Ewgenij; Herr, Katrin; Joswig, Michael; Lorenz, Benjamin; Paffenholz, Andreas; Rehn, Thomas Computing convex hulls and counting integer points with polymake. (English) Zbl 1370.90009 Math. Program. Comput. 9, No. 1, 1-38 (2017). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 90-08 52-04 PDFBibTeX XMLCite \textit{B. Assarf} et al., Math. Program. Comput. 9, No. 1, 1--38 (2017; Zbl 1370.90009) Full Text: DOI arXiv
Aguilera, Néstor E.; Katz, Ricardo D.; Tolomei, Paola B. Vertex adjacencies in the set covering polyhedron. (English) Zbl 1352.05179 Discrete Appl. Math. 218, 40-56 (2017); addendum ibid. 243, 311-315 (2018). MSC: 05C99 52B20 PDFBibTeX XMLCite \textit{N. E. Aguilera} et al., Discrete Appl. Math. 218, 40--56 (2017; Zbl 1352.05179) Full Text: DOI arXiv
Lörwald, Stefan; Reinelt, Gerhard PANDA: a software for polyhedral transformations. (English) Zbl 1331.52001 EURO J. Comput. Optim. 3, No. 4, 297-308 (2015). MSC: 52-04 52B05 90C27 68N30 PDFBibTeX XMLCite \textit{S. Lörwald} and \textit{G. Reinelt}, EURO J. Comput. Optim. 3, No. 4, 297--308 (2015; Zbl 1331.52001) Full Text: DOI OA License
Chaves, Rafael; Luft, Lukas; Gross, David Causal structures from entropic information: geometry and novel scenarios. (English) Zbl 1451.81008 New J. Phys. 16, No. 4, Article ID 043001, 37 p. (2014). MSC: 81P05 81P10 81P13 81P15 PDFBibTeX XMLCite \textit{R. Chaves} et al., New J. Phys. 16, No. 4, Article ID 043001, 37 p. (2014; Zbl 1451.81008) Full Text: DOI arXiv OA License
Hosono, Shinobu; Takagi, Hiromichi Mirror symmetry and projective geometry of Reye congruences. I. (English) Zbl 1298.14043 J. Algebr. Geom. 23, No. 2, 279-312 (2014). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14J33 14F05 14N35 PDFBibTeX XMLCite \textit{S. Hosono} and \textit{H. Takagi}, J. Algebr. Geom. 23, No. 2, 279--312 (2014; Zbl 1298.14043) Full Text: DOI arXiv
Schürmann, Achill Exploiting symmetries in polyhedral computations. (English) Zbl 1273.90127 Bezdek, Károly (ed.) et al., Discrete geometry and optimization. Selected papers based on the presentations at the conference and workshop, Toronto, Canada, September 19–23, 2011. New York, NY: Springer (ISBN 978-3-319-00199-9/hbk; 978-3-319-00200-2/ebook). Fields Institute Communications 69, 265-278 (2013). MSC: 90C10 52B99 11P21 PDFBibTeX XMLCite \textit{A. Schürmann}, Fields Inst. Commun. 69, 265--278 (2013; Zbl 1273.90127) Full Text: DOI arXiv Backlinks: MO
Rentería-Márquez, Carlos; Simis, Aron; Villarreal, Rafael H. Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields. (English) Zbl 1209.13037 Finite Fields Appl. 17, No. 1, 81-104 (2011). Reviewer: Guillermo Morales-Luna (Mexico) MSC: 13P25 14G50 14G15 11T71 94B27 94B05 PDFBibTeX XMLCite \textit{C. Rentería-Márquez} et al., Finite Fields Appl. 17, No. 1, 81--104 (2011; Zbl 1209.13037) Full Text: DOI arXiv
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank Complexity and algorithms for computing Voronoi cells of lattices. (English) Zbl 1215.11067 Math. Comput. 78, No. 267, 1713-1731 (2009). Reviewer: Roland Quême (Brax) MSC: 11H31 11Y16 11E10 11H56 52B12 52B55 68Q25 68U05 PDFBibTeX XMLCite \textit{M. Dutour Sikirić} et al., Math. Comput. 78, No. 267, 1713--1731 (2009; Zbl 1215.11067) Full Text: DOI arXiv
Bremner, David; Dutour Sikirić, Mathieu; Schürmann, Achill Polyhedral representation conversion up to symmetries. (English) Zbl 1170.68621 Avis, David (ed.) et al., Polyhedral computation. Papers presented at a workshop, Montréal, Canada, October 17–20, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4633-9/pbk). CRM Proceedings and Lecture Notes 48, 45-71 (2009). MSC: 68U05 52B55 PDFBibTeX XMLCite \textit{D. Bremner} et al., in: Polyhedral computation. Papers presented at a workshop, Montréal, Canada, October 17--20, 2006. Providence, RI: American Mathematical Society (AMS). 45--71 (2009; Zbl 1170.68621)
Hampton, Marshall; Moeckel, Richard Finiteness of stationary configurations of the four-vortex problem. (English) Zbl 1161.76011 Trans. Am. Math. Soc. 361, No. 3, 1317-1332 (2009). MSC: 76B47 68W30 37J05 37N10 70F10 PDFBibTeX XMLCite \textit{M. Hampton} and \textit{R. Moeckel}, Trans. Am. Math. Soc. 361, No. 3, 1317--1332 (2009; Zbl 1161.76011) Full Text: DOI
Schürmann, Achill Computational geometry of positive definite quadratic forms. Polyhedral reduction theories, algorithms, and applications. (English) Zbl 1185.52016 University Lecture Series 48. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4735-0/pbk). xv, 162 p. (2009). Reviewer: Martin Henk (Magdeburg) MSC: 52C17 11H31 11H55 11-02 52-02 PDFBibTeX XMLCite \textit{A. Schürmann}, Computational geometry of positive definite quadratic forms. Polyhedral reduction theories, algorithms, and applications. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1185.52016)
Moeckel, Richard A computer-assisted proof of Saari’s conjecture for the planar three-body problem. (English) Zbl 1079.70011 Trans. Am. Math. Soc. 357, No. 8, 3105-3117 (2005). MSC: 70F10 70F15 37N05 PDFBibTeX XMLCite \textit{R. Moeckel}, Trans. Am. Math. Soc. 357, No. 8, 3105--3117 (2005; Zbl 1079.70011) Full Text: DOI
Kreuzer, Maximilian; Skarke, Harald PALP: a package for analysing lattice polytopes with applications to toric geometry. (English) Zbl 1196.14007 Comput. Phys. Commun. 157, No. 1, 87-106 (2004). MSC: 14-04 52B20 14M25 PDFBibTeX XMLCite \textit{M. Kreuzer} and \textit{H. Skarke}, Comput. Phys. Commun. 157, No. 1, 87--106 (2004; Zbl 1196.14007) Full Text: DOI arXiv
Gawrilow, Ewgenij; Joswig, Michael polymake: an approach to modular software design in computational geometry. (English) Zbl 1375.68136 Souvaine, Diane L. (ed.), Proceedings of the 17th annual symposium on computational geometry, SCG/SoCG 2001, Medford, MA, USA, June 3–5, 2001. New York, NY: Association for Computing Machinery (ACM) (ISBN 1-58113-357-X). 222-231 (2001). MSC: 68U05 52-04 52B05 52B55 PDFBibTeX XMLCite \textit{E. Gawrilow} and \textit{M. Joswig}, in: Proceedings of the 17th annual symposium on computational geometry, SCG/SoCG 2001, Medford, MA, USA, June 3--5, 2001. New York, NY: Association for Computing Machinery (ACM). 222--231 (2001; Zbl 1375.68136) Full Text: DOI
Christof, Thomas; Reinelt, Gerhard Decomposition and parallelization techniques for enumerating the facets of combinatorial polytopes. (English) Zbl 1074.68635 Int. J. Comput. Geom. Appl. 11, No. 4, 423-437 (2001). MSC: 68U05 52B55 PDFBibTeX XMLCite \textit{T. Christof} and \textit{G. Reinelt}, Int. J. Comput. Geom. Appl. 11, No. 4, 423--437 (2001; Zbl 1074.68635) Full Text: DOI
Rambau, J.; Ziegler, G. M. Projections of polytopes and the generalized Baues conjecture. (English) Zbl 0865.52008 Discrete Comput. Geom. 16, No. 3, 215-237 (1996). Reviewer: Ch.Leytem (Cruchten) MSC: 52B05 PDFBibTeX XMLCite \textit{J. Rambau} and \textit{G. M. Ziegler}, Discrete Comput. Geom. 16, No. 3, 215--237 (1996; Zbl 0865.52008) Full Text: DOI
Christof, T.; Reinelt, G. Combinatorial optimization and small polytopes. (English) Zbl 0858.90107 Top 4, No. 1, 1-53 (1996). Reviewer: T.Christof (Heidelberg) MSC: 90C27 52B12 05A15 PDFBibTeX XMLCite \textit{T. Christof} and \textit{G. Reinelt}, Top 4, No. 1, 1--53 (1996; Zbl 0858.90107) Full Text: DOI