Chimani, Markus; Juhnke-Kubitzke, Martina; Nover, Alexander On the bond polytope. (English) Zbl 1526.05061 Adv. Geom. 23, No. 4, 461-480 (2023). MSC: 05C22 05C70 90C27 52B99 PDFBibTeX XMLCite \textit{M. Chimani} et al., Adv. Geom. 23, No. 4, 461--480 (2023; Zbl 1526.05061) Full Text: DOI arXiv
Borinsky, Michael Tropical Monte Carlo quadrature for Feynman integrals. (English) Zbl 07755203 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 10, No. 4, 635-685 (2023). MSC: 65D30 81Q30 52B55 14E15 14T90 PDFBibTeX XMLCite \textit{M. Borinsky}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 10, No. 4, 635--685 (2023; Zbl 07755203) Full Text: DOI arXiv
Miyazaki, Mitsuhiro Non-Gorenstein locus and almost Gorenstein property of the Ehrhart ring of the stable set polytope of a cycle graph. (English) Zbl 07721301 Taiwanese J. Math. 27, No. 3, 441-459 (2023). MSC: 13H10 52B20 05E40 05C17 05C38 PDFBibTeX XMLCite \textit{M. Miyazaki}, Taiwanese J. Math. 27, No. 3, 441--459 (2023; Zbl 07721301) Full Text: DOI arXiv
Bruns, Winfried Polytope volume in Normaliz. (English) Zbl 07713838 São Paulo J. Math. Sci. 17, No. 1, 36-54 (2023). MSC: 68U05 52B55 52A38 PDFBibTeX XMLCite \textit{W. Bruns}, São Paulo J. Math. Sci. 17, No. 1, 36--54 (2023; Zbl 07713838) Full Text: DOI arXiv
Castillo, Federico; Labbé, Jean-Philippe; Liebert, Julia; Padrol, Arnau; Philippe, Eva; Schilling, Christian An effective solution to convex 1-body \(N\)-representability. (English) Zbl 07698495 Ann. Henri Poincaré 24, No. 7, 2241-2321 (2023). MSC: 81V45 81R05 81V73 81V74 47L07 52A27 90C25 52B12 PDFBibTeX XMLCite \textit{F. Castillo} et al., Ann. Henri Poincaré 24, No. 7, 2241--2321 (2023; Zbl 07698495) Full Text: DOI arXiv
Gubeladze, Joseph Normal polytopes: between discrete, continuous, and random. (English) Zbl 07584336 J. Pure Appl. Algebra 227, No. 2, Article ID 107187, 12 p. (2023). MSC: 06A11 11P21 52B20 PDFBibTeX XMLCite \textit{J. Gubeladze}, J. Pure Appl. Algebra 227, No. 2, Article ID 107187, 12 p. (2023; Zbl 07584336) Full Text: DOI arXiv
Fieker, Claus; Hofmann, Tommy; Joswig, Michael Computing Galois groups of Ehrhart polynomials in OSCAR. (English) Zbl 1523.12001 Sémin. Lothar. Comb. 86B, Article 87, 9 p. (2022). Reviewer: Matthias Beck (San Francisco) MSC: 12-08 12F10 68W30 52B20 PDFBibTeX XMLCite \textit{C. Fieker} et al., Sémin. Lothar. Comb. 86B, Article 87, 9 p. (2022; Zbl 1523.12001) Full Text: arXiv Link
Moreno Maza, Marc; Wang, Linxiao Computing the integer hull of convex polyhedral sets. (English) Zbl 1507.14083 Boulier, François (ed.) et al., Computer algebra in scientific computing. 24th international workshop, CASC 2022, Gebze, Turkey, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13366, 246-267 (2022). Reviewer: Amir Hashemi (Isfahan) MSC: 14Q65 13P10 65H14 52B55 68W30 PDFBibTeX XMLCite \textit{M. Moreno Maza} and \textit{L. Wang}, Lect. Notes Comput. Sci. 13366, 246--267 (2022; Zbl 1507.14083) Full Text: DOI
Cameron, Amanda; Dinu, Rodica; Michałek, Mateusz; Seynnaeve, Tim Flag matroids: algebra and geometry. (English) Zbl 1515.05041 Kasprzyk, Alexander M. (ed.) et al., Interactions with lattice polytopes. Selected papers based on the presentations at the workshop, Magdeburg, Germany, September 14–16, 2017. Cham: Springer. Springer Proc. Math. Stat. 386, 73-114 (2022). MSC: 05B35 14M15 19K35 14M25 13F55 13F65 52B40 PDFBibTeX XMLCite \textit{A. Cameron} et al., Springer Proc. Math. Stat. 386, 73--114 (2022; Zbl 1515.05041) Full Text: DOI arXiv
Katthän, Lukas; Yanagawa, Kohji Graded Cohen-Macaulay domains and lattice polytopes with short \(h\)-vector. (English) Zbl 1496.13038 Discrete Comput. Geom. 68, No. 2, 608-617 (2022). Reviewer: Yi-Huang Shen (Hefei) MSC: 13H10 13F55 52B20 05E40 PDFBibTeX XMLCite \textit{L. Katthän} and \textit{K. Yanagawa}, Discrete Comput. Geom. 68, No. 2, 608--617 (2022; Zbl 1496.13038) Full Text: DOI arXiv
Kiers, Joshua Extremal rays of the equivariant Littlewood-Richardson cone. (English) Zbl 1493.15065 Electron. J. Comb. 29, No. 3, Research Paper P3.10, 23 p. (2022). MSC: 15A42 15B48 15B57 15A18 52A40 14M15 05E14 14F43 14N15 57R91 PDFBibTeX XMLCite \textit{J. Kiers}, Electron. J. Comb. 29, No. 3, Research Paper P3.10, 23 p. (2022; Zbl 1493.15065) Full Text: DOI arXiv
Beck, Matthias; Braun, Benjamin; Vindas-Meléndez, Andrés R. Decompositions of Ehrhart \(h^*\)-polynomials for rational polytopes. (English) Zbl 1494.52013 Discrete Comput. Geom. 68, No. 1, 50-71 (2022). Reviewer: Peter McMullen (London) MSC: 52B20 PDFBibTeX XMLCite \textit{M. Beck} et al., Discrete Comput. Geom. 68, No. 1, 50--71 (2022; Zbl 1494.52013) Full Text: DOI arXiv
Kliem, Jonathan; Stump, Christian A new face iterator for polyhedra and for more general finite locally branched lattices. (English) Zbl 1489.52010 Discrete Comput. Geom. 67, No. 4, 1147-1173 (2022). MSC: 52B05 52B20 20M14 20-08 06A07 68Q25 05A15 05B35 PDFBibTeX XMLCite \textit{J. Kliem} and \textit{C. Stump}, Discrete Comput. Geom. 67, No. 4, 1147--1173 (2022; Zbl 1489.52010) Full Text: DOI arXiv
Bruns, Winfried Automorphism groups and normal forms in Normaliz. (English) Zbl 1493.52002 Res. Math. Sci. 9, No. 2, Paper No. 20, 15 p. (2022). Reviewer: Martin Henk (Berlin) MSC: 52-04 52B05 52B20 PDFBibTeX XMLCite \textit{W. Bruns}, Res. Math. Sci. 9, No. 2, Paper No. 20, 15 p. (2022; Zbl 1493.52002) Full Text: DOI arXiv
Koley, Mitra; Römer, Tim Seminormality, canonical modules, and regularity of cut polytopes. (English) Zbl 1507.13007 J. Pure Appl. Algebra 226, No. 1, Article ID 106797, 22 p. (2022). MSC: 13C05 14M25 52B20 05E40 PDFBibTeX XMLCite \textit{M. Koley} and \textit{T. Römer}, J. Pure Appl. Algebra 226, No. 1, Article ID 106797, 22 p. (2022; Zbl 1507.13007) Full Text: DOI arXiv
Kaplan, Nathan; O’Neill, Christopher Numerical semigroups, polyhedra, and posets. I: The group cone. (English) Zbl 1501.52009 Combinatorial Theory 1, Paper No. 19, 23 p. (2021). MSC: 52B05 20M14 PDFBibTeX XMLCite \textit{N. Kaplan} and \textit{C. O'Neill}, Comb. Theory 1, Paper No. 19, 23 p. (2021; Zbl 1501.52009) Full Text: DOI arXiv
Bruns, Winfried; Ichim, Bogdan Polytope volume by descent in the face lattice and applications in social choice. (English) Zbl 1485.52009 Math. Program. Comput. 13, No. 2, 415-442 (2021). Reviewer: Irem Portakal (Magdeburg) MSC: 52B20 13F20 14M25 91B12 PDFBibTeX XMLCite \textit{W. Bruns} and \textit{B. Ichim}, Math. Program. Comput. 13, No. 2, 415--442 (2021; Zbl 1485.52009) Full Text: DOI arXiv
Haase, Christian; Paffenholz, Andreas; Piechnik, Lindsey C.; Santos, Francisco Existence of unimodular triangulations – positive results. (English) Zbl 1479.52002 Memoirs of the American Mathematical Society 1321. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4716-8/pbk; 978-1-4704-6530-8/ebook). v, 83 p. (2021). Reviewer: Matthias Beck (San Francisco) MSC: 52-02 52B20 52B11 13F20 PDFBibTeX XMLCite \textit{C. Haase} et al., Existence of unimodular triangulations -- positive results. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1479.52002) Full Text: DOI arXiv
Vodička, Martin Normality of the Kimura 3-parameter model. (English) Zbl 1467.14123 SIAM J. Discrete Math. 35, No. 3, 1536-1547 (2021). MSC: 14M25 13P25 52B20 92D15 13P10 14Q99 62P10 PDFBibTeX XMLCite \textit{M. Vodička}, SIAM J. Discrete Math. 35, No. 3, 1536--1547 (2021; Zbl 1467.14123) Full Text: DOI arXiv
Krone, Robert; Kubjas, Kaie Uniqueness of nonnegative matrix factorizations by rigidity theory. (English) Zbl 1458.15028 SIAM J. Matrix Anal. Appl. 42, No. 1, 134-164 (2021). MSC: 15A23 15B48 14P10 52B05 14R20 PDFBibTeX XMLCite \textit{R. Krone} and \textit{K. Kubjas}, SIAM J. Matrix Anal. Appl. 42, No. 1, 134--164 (2021; Zbl 1458.15028) Full Text: DOI arXiv
Bruns, Winfried Algebraic polytopes in Normaliz. (English) Zbl 1503.52004 Bigatti, Anna Maria (ed.) et al., Mathematical software – ICMS 2020. 7th international conference, Braunschweig, Germany, July 13–16, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12097, 193-201 (2020). MSC: 52-08 52B20 PDFBibTeX XMLCite \textit{W. Bruns}, Lect. Notes Comput. Sci. 12097, 193--201 (2020; Zbl 1503.52004) Full Text: DOI arXiv
Kohl, Florian; Olsen, McCabe; Sanyal, Raman Unconditional reflexive polytopes. (English) Zbl 1454.52012 Discrete Comput. Geom. 64, No. 2, 427-452 (2020). Reviewer: Hidefumi Ohsugi (Hyogo) MSC: 52B20 52B12 PDFBibTeX XMLCite \textit{F. Kohl} et al., Discrete Comput. Geom. 64, No. 2, 427--452 (2020; Zbl 1454.52012) Full Text: DOI arXiv
Bruns, Winfried; García-Sánchez, Pedro; O’Neill, Christopher; Wilburne, Dane Wilf’s conjecture in fixed multiplicity. (English) Zbl 1481.20207 Int. J. Algebra Comput. 30, No. 4, 861-882 (2020). MSC: 20M14 20-08 52B20 52B55 PDFBibTeX XMLCite \textit{W. Bruns} et al., Int. J. Algebra Comput. 30, No. 4, 861--882 (2020; Zbl 1481.20207) Full Text: DOI arXiv
Braun, Benjamin; Davis, Brian Antichain simplices. (English) Zbl 1433.52012 J. Integer Seq. 23, No. 1, Article 20.1.1, 24 p. (2020). MSC: 52B20 13D02 11A05 PDFBibTeX XMLCite \textit{B. Braun} and \textit{B. Davis}, J. Integer Seq. 23, No. 1, Article 20.1.1, 24 p. (2020; Zbl 1433.52012) Full Text: arXiv Link
Bruns, Winfried; Ichim, Bogdan; Söger, Christof Computations of volumes and Ehrhart series in four candidates elections. (English) Zbl 1430.91039 Ann. Oper. Res. 280, No. 1-2, 241-265 (2019). MSC: 91B12 91B14 52B20 PDFBibTeX XMLCite \textit{W. Bruns} et al., Ann. Oper. Res. 280, No. 1--2, 241--265 (2019; Zbl 1430.91039) Full Text: DOI arXiv
Hibi, Takayuki; Tsuchiya, Akiyoshi The depth of a reflexive polytope. (English) Zbl 1418.13015 Arch. Math. 113, No. 3, 265-272 (2019). MSC: 13H10 52B20 PDFBibTeX XMLCite \textit{T. Hibi} and \textit{A. Tsuchiya}, Arch. Math. 113, No. 3, 265--272 (2019; Zbl 1418.13015) Full Text: DOI arXiv
Al-Ayyoub, Ibrahim; Jaradat, Imad; Al-Zoubi, Khaldoun On the normality of a class of monomial ideals via the Newton polyhedron. (English) Zbl 1415.13008 Mediterr. J. Math. 16, No. 3, Paper No. 77, 16 p. (2019). MSC: 13B22 06B10 52B20 PDFBibTeX XMLCite \textit{I. Al-Ayyoub} et al., Mediterr. J. Math. 16, No. 3, Paper No. 77, 16 p. (2019; Zbl 1415.13008) Full Text: DOI
García-García, J. I.; Marín-Aragón, D.; Moreno-Frías, M. A. On divisor-closed submonoids and minimal distances in finitely generated monoids. (English) Zbl 1451.13005 J. Symb. Comput. 93, 230-245 (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 13A05 20M13 11R27 20M32 68W30 20M14 52B11 PDFBibTeX XMLCite \textit{J. I. García-García} et al., J. Symb. Comput. 93, 230--245 (2019; Zbl 1451.13005) Full Text: DOI arXiv
Michałek, Mateusz; Ventura, Emanuele Phylogenetic complexity of the Kimura 3-parameter model. (English) Zbl 1412.14031 Adv. Math. 343, 640-680 (2019). Reviewer: Christos Tatakis (Mitilini) MSC: 14M25 13P25 52B20 05C90 92E10 92D15 PDFBibTeX XMLCite \textit{M. Michałek} and \textit{E. Ventura}, Adv. Math. 343, 640--680 (2019; Zbl 1412.14031) Full Text: DOI arXiv
Kohl, Florian; Li, Yanxi; Rauh, Johannes; Yoshida, Ruriko Semigroups – a computational approach. (English) Zbl 1437.11166 Hibi, Takayuki (ed.), The 50th anniversary of Gröbner bases. Proceedings of the 8th Mathematical Society of Japan-Seasonal Institute (MSJ-SI 2015), Osaka, Japan, July 1–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 77, 155-170 (2018). MSC: 11Y50 11D04 11P21 52B11 90C08 PDFBibTeX XMLCite \textit{F. Kohl} et al., Adv. Stud. Pure Math. 77, 155--170 (2018; Zbl 1437.11166) Full Text: arXiv
Olsen, McCabe Hilbert bases and lecture hall partitions. (English) Zbl 1401.05033 Ramanujan J. 47, No. 3, 509-531 (2018). MSC: 05A17 05A19 11P21 13A02 13H10 13P99 52B11 PDFBibTeX XMLCite \textit{M. Olsen}, Ramanujan J. 47, No. 3, 509--531 (2018; Zbl 1401.05033) Full Text: DOI arXiv
Hamano, Ginji; Hibi, Takayuki; Ohsugi, Hidefumi Ehrhart series of fractional stable set polytopes of finite graphs. (English) Zbl 1403.52010 Ann. Comb. 22, No. 3, 563-573 (2018). MSC: 52B20 52B05 05C10 PDFBibTeX XMLCite \textit{G. Hamano} et al., Ann. Comb. 22, No. 3, 563--573 (2018; Zbl 1403.52010) Full Text: DOI arXiv
Castillo, Federico; Liu, Fu; Nill, Benjamin; Paffenholz, Andreas Smooth polytopes with negative Ehrhart coefficients. (English) Zbl 1402.52017 J. Comb. Theory, Ser. A 160, 316-331 (2018). Reviewer: Irem Portakal (Magdeburg) MSC: 52B20 PDFBibTeX XMLCite \textit{F. Castillo} et al., J. Comb. Theory, Ser. A 160, 316--331 (2018; Zbl 1402.52017) Full Text: DOI arXiv
Paffenholz, Andreas polyDB: a database for polytopes and related objects. (English) Zbl 1400.52001 Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer (ISBN 978-3-319-70565-1/hbk; 978-3-319-70566-8/ebook). 533-547 (2017). MSC: 52-04 52B20 PDFBibTeX XMLCite \textit{A. Paffenholz}, in: Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 533--547 (2017; Zbl 1400.52001) Full Text: DOI arXiv
Bruns, Winfried; Sieg, Richard; Söger, Christof Normaliz 2013–2016. (English) Zbl 1400.52012 Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer (ISBN 978-3-319-70565-1/hbk; 978-3-319-70566-8/ebook). 123-146 (2017). MSC: 52B20 13F20 14M25 91B12 52-03 01A61 52-04 PDFBibTeX XMLCite \textit{W. Bruns} et al., in: Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 123--146 (2017; Zbl 1400.52012) Full Text: DOI arXiv
Jing, Rui-Juan; Moreno Maza, Marc Computing the integer points of a polyhedron. II: Complexity estimates. (English) Zbl 1455.52012 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 19th international workshop, CASC 2017, Beijing, China, September 18–22, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10490, 242-256 (2017). MSC: 52B55 52B20 65Y20 68W30 PDFBibTeX XMLCite \textit{R.-J. Jing} and \textit{M. Moreno Maza}, Lect. Notes Comput. Sci. 10490, 242--256 (2017; Zbl 1455.52012) 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
Fei, Jiarui Cluster algebras, invariant theory, and Kronecker coefficients. I. (English) Zbl 1403.13037 Adv. Math. 310, 1064-1112 (2017). Reviewer: Nan Ji-Zhu (Dalian) MSC: 13F60 16G20 13A50 20C30 52B20 PDFBibTeX XMLCite \textit{J. Fei}, Adv. Math. 310, 1064--1112 (2017; Zbl 1403.13037) Full Text: DOI arXiv
Bruns, Winfried; Sieg, Richard; Söger, Christof The subdivision of large simplicial cones in Normaliz. (English) Zbl 1434.52001 Greuel, Gert-Martin (ed.) et al., Mathematical software – ICMS 2016. 5th international conference, Berlin, Germany, July 11–14, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9725, 102-109 (2016). MSC: 52-04 13D40 52B20 68W30 PDFBibTeX XMLCite \textit{W. Bruns} et al., Lect. Notes Comput. Sci. 9725, 102--109 (2016; Zbl 1434.52001) Full Text: DOI arXiv
Bruns, Winfried; Gubeladze, Joseph; Michałek, Mateusz Quantum jumps of normal polytopes. (English) Zbl 1351.52011 Discrete Comput. Geom. 56, No. 1, 181-215 (2016). Reviewer: Oleg Karpenkov (Liverpool) MSC: 52B20 11H06 52C07 PDFBibTeX XMLCite \textit{W. Bruns} et al., Discrete Comput. Geom. 56, No. 1, 181--215 (2016; Zbl 1351.52011) Full Text: DOI arXiv
Bruns, Winfried; Ichim, Bogdan; Söger, Christof The power of pyramid decomposition in Normaliz. (English) Zbl 1332.68298 J. Symb. Comput. 74, 513-536 (2016). MSC: 68W30 13D40 52B20 91B14 PDFBibTeX XMLCite \textit{W. Bruns} et al., J. Symb. Comput. 74, 513--536 (2016; Zbl 1332.68298) Full Text: DOI arXiv
Rauh, Johannes; Sullivant, Seth Lifting Markov bases and higher codimension toric fiber products. (English) Zbl 1402.11121 J. Symb. Comput. 74, 276-307 (2016). MSC: 11P21 13P10 52B20 90C10 PDFBibTeX XMLCite \textit{J. Rauh} and \textit{S. Sullivant}, J. Symb. Comput. 74, 276--307 (2016; Zbl 1402.11121) Full Text: DOI arXiv
Lorenz, Benjamin; Nill, Benjamin On smooth Gorenstein polytopes. (English) Zbl 1338.52014 Tohoku Math. J. (2) 67, No. 4, 513-530 (2015). Reviewer: Matthias Beck (San Francisco) MSC: 52B20 14M25 14J45 PDFBibTeX XMLCite \textit{B. Lorenz} and \textit{B. Nill}, Tôhoku Math. J. (2) 67, No. 4, 513--530 (2015; Zbl 1338.52014) Full Text: DOI arXiv Euclid
Bruns, Winfried Binomial regular sequences and free sums. (English) Zbl 1323.52006 Acta Math. Vietnam. 40, No. 1, 71-83 (2015). Reviewer: Oleg Karpenkov (Liverpool) MSC: 52B20 13F20 14M25 PDFBibTeX XMLCite \textit{W. Bruns}, Acta Math. Vietnam. 40, No. 1, 71--83 (2015; Zbl 1323.52006) Full Text: DOI arXiv
Bogart, Tristram; Haase, Christian; Hering, Milena; Lorenz, Benjamin; Nill, Benjamin; Paffenholz, Andreas; Rote, Günter; Santos, Francisco; Schenck, Hal Finitely many smooth \(d\)-polytopes with \(n\) lattice points. (English) Zbl 1327.52020 Isr. J. Math. 207, Part 1, 301-329 (2015). Reviewer: Ignacio García Marco (Lyon) MSC: 52B20 14M25 PDFBibTeX XMLCite \textit{T. Bogart} et al., Isr. J. Math. 207, Part 1, 301--329 (2015; Zbl 1327.52020) Full Text: DOI arXiv
Kubjas, Kaie Low degree minimal generators of phylogenetic semigroups. (English) Zbl 1375.14173 Eur. J. Math. 1, No. 1, 2-24 (2015). MSC: 14M25 20M14 52B20 13P25 14D21 PDFBibTeX XMLCite \textit{K. Kubjas}, Eur. J. Math. 1, No. 1, 2--24 (2015; Zbl 1375.14173) Full Text: DOI arXiv
Bruns, Winfried; Söger, Christof The computation of generalized Ehrhart series in normaliz. (English) Zbl 1320.52018 J. Symb. Comput. 68, Part 2, 75-86 (2015). Reviewer: Valentina Kiritchenko (Moskva) MSC: 52B20 13F20 14M25 91B12 PDFBibTeX XMLCite \textit{W. Bruns} and \textit{C. Söger}, J. Symb. Comput. 68, Part 2, 75--86 (2015; Zbl 1320.52018) Full Text: DOI arXiv
Herr, Katrin; Rehn, Thomas; Schürmann, Achill On lattice-free orbit polytopes. (English) Zbl 1325.52010 Discrete Comput. Geom. 53, No. 1, 144-172 (2015). Reviewer: Steven Klee (Seattle) MSC: 52B15 90C10 20C99 PDFBibTeX XMLCite \textit{K. Herr} et al., Discrete Comput. Geom. 53, No. 1, 144--172 (2014; Zbl 1325.52010) Full Text: DOI arXiv
Bruns, Winfried; Söger, Christof Recent developments in Normaliz. (English) Zbl 1434.52002 Hong, Hoon (ed.) et al., Mathematical software – ICMS 2014. 4th international congress, Seoul, South Korea, August 5–9, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8592, 663-668 (2014). MSC: 52-04 52B20 PDFBibTeX XMLCite \textit{W. Bruns} and \textit{C. Söger}, Lect. Notes Comput. Sci. 8592, 663--668 (2014; Zbl 1434.52002) Full Text: DOI
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
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
Nill, Benjamin; Schepers, Jan Gorenstein polytopes and their stringy \(E\)-functions. (English) Zbl 1271.14076 Math. Ann. 355, No. 2, 457-480 (2013). Reviewer: Serge Lawrencenko (Moskva) MSC: 14M25 52B20 14J32 PDFBibTeX XMLCite \textit{B. Nill} and \textit{J. Schepers}, Math. Ann. 355, No. 2, 457--480 (2013; Zbl 1271.14076) Full Text: DOI arXiv
Joswig, Michael; Paffenholz, Andreas Defect polytopes and counter-examples with polymake. (English) Zbl 1308.68176 ACM Commun. Comput. Algebra 45, No. 4, 177-179 (2011). MSC: 68W30 14M25 52B20 52B55 PDFBibTeX XMLCite \textit{M. Joswig} and \textit{A. Paffenholz}, ACM Commun. Comput. Algebra 45, No. 3, 177--179 (2011; Zbl 1308.68176) Full Text: DOI arXiv
Bruns, Winfried; Hemmecke, Raymond; Ichim, Bogdan; Köppe, Matthias; Söger, Christof Challenging computations of Hilbert bases of cones associated with algebraic statistics. (English) Zbl 1273.13052 Exp. Math. 20, No. 1, 25-33 (2011). MSC: 13P25 14M25 52B20 14C05 PDFBibTeX XMLCite \textit{W. Bruns} et al., Exp. Math. 20, No. 1, 25--33 (2011; Zbl 1273.13052) Full Text: DOI arXiv Euclid
Nill, Benjamin; Paffenholz, Andreas Examples of Kähler-Einstein toric Fano manifolds associated to non-symmetric reflexive polytopes. (English) Zbl 1225.14042 Beitr. Algebra Geom. 52, No. 2, 297-304 (2011). Reviewer: G. K. Sankaran (Bath) MSC: 14M25 14J45 32Q20 52B20 53C25 PDFBibTeX XMLCite \textit{B. Nill} and \textit{A. Paffenholz}, Beitr. Algebra Geom. 52, No. 2, 297--304 (2011; Zbl 1225.14042) Full Text: DOI arXiv
Bruns, Winfried; Kämpf, Gesa A Macaulay2 interface for Normaliz. (English) Zbl 1311.13042 J. Softw. Algebra Geom. 2, 15-19 (2010). MSC: 13P99 14M25 52B20 20M14 65Y15 PDFBibTeX XMLCite \textit{W. Bruns} and \textit{G. Kämpf}, J. Softw. Algebra Geom. 2, 15--19 (2010; Zbl 1311.13042) Full Text: DOI arXiv
Bruns, Winfried; Ichim, Bogdan; Söger, Christof Introduction to Normaliz 2.5. (English) Zbl 1294.68152 Fukuda, Komei (ed.) et al., Mathematical software – ICMS 2010. Third international congress on mathematical software, Kobe, Japan, September 13–17, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15581-9/pbk). Lecture Notes in Computer Science 6327, 209-212 (2010). MSC: 68W30 11D75 11Y40 13P10 52B20 52B55 PDFBibTeX XMLCite \textit{W. Bruns} et al., Lect. Notes Comput. Sci. 6327, 209--212 (2010; Zbl 1294.68152) Full Text: DOI
Ohsugi, Hidefumi Normality of cut polytopes of graphs is a minor closed property. (English) Zbl 1230.05241 Discrete Math. 310, No. 6-7, 1160-1166 (2010). MSC: 05C70 05C83 52B10 PDFBibTeX XMLCite \textit{H. Ohsugi}, Discrete Math. 310, No. 6--7, 1160--1166 (2010; Zbl 1230.05241) Full Text: DOI arXiv
Joswig, Michael; Müller, Benjamin; Paffenholz, Andreas polymake and lattice polytopes. (English) Zbl 1391.52019 Krattenthaler, Christian (ed.) et al., Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20–24, 2009. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 491-502 (2009). MSC: 52B55 05B20 PDFBibTeX XMLCite \textit{M. Joswig} et al., in: Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20--24, 2009. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 491--502 (2009; Zbl 1391.52019) Full Text: arXiv Link
Bruns, Winfried; Gubeladze, Joseph Polytopes, rings, and K-theory. (English) Zbl 1168.13001 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 978-0-387-76355-2/hbk; 978-0-387-76356-9/ebook). xiii, 461 p. (2009). Reviewer: Dorin-Mihail Popescu (Bucureşti) MSC: 13-02 19-02 52-02 11D04 11H06 13Fxx 20Mxx 52B20 PDFBibTeX XMLCite \textit{W. Bruns} and \textit{J. Gubeladze}, Polytopes, rings, and K-theory. New York, NY: Springer (2009; Zbl 1168.13001) Full Text: DOI arXiv
Gitler, Isidoro; Reyes, Enrique; Villarreal, Rafael H. Blowup algebras of square-free monomial ideals and some links to combinatorial optimization problems. (English) Zbl 1163.13016 Rocky Mt. J. Math. 39, No. 1, 71-102 (2009). MSC: 13H10 13F20 13B22 52B20 PDFBibTeX XMLCite \textit{I. Gitler} et al., Rocky Mt. J. Math. 39, No. 1, 71--102 (2009; Zbl 1163.13016) Full Text: DOI arXiv
Sturmfels, Bernd; Sullivant, Seth Toric geometry of cuts and splits. (English) Zbl 1180.13040 Mich. Math. J. 57, 689-709 (2008). Reviewer: Anargyros Katsabekis (Karlovassi) MSC: 13P10 52B20 13F55 14M25 13P25 05C90 PDFBibTeX XMLCite \textit{B. Sturmfels} and \textit{S. Sullivant}, Mich. Math. J. 57, 689--709 (2008; Zbl 1180.13040) Full Text: DOI arXiv
Villarreal, Rafael H. Rees algebras and polyhedral cones of ideals of vertex covers of perfect graphs. (English) Zbl 1142.13002 J. Algebr. Comb. 27, No. 3, 293-305 (2008). Reviewer: Iustin Coandă (Bucureşti) MSC: 13A30 13F20 05C17 52B20 90C27 PDFBibTeX XMLCite \textit{R. H. Villarreal}, J. Algebr. Comb. 27, No. 3, 293--305 (2008; Zbl 1142.13002) Full Text: DOI arXiv
De Loera, Jesús A.; Hemmecke, Raymond; Tauzer, Jeremiah; Yoshida, Ruriko Effective lattice point counting in rational convex polytopes. (English) Zbl 1137.52303 J. Symb. Comput. 38, No. 4, 1273-1302 (2004). MSC: 52B20 05A15 52C07 68U05 68W30 PDFBibTeX XMLCite \textit{J. A. De Loera} et al., J. Symb. Comput. 38, No. 4, 1273--1302 (2005; Zbl 1137.52303) Full Text: DOI
Gitler, Isidoro; Valencia, Carlos; Villarreal, Rafael H. A note on the Rees algebra of a bipartite graph. (English) Zbl 1081.13002 J. Pure Appl. Algebra 201, No. 1-3, 17-24 (2005). Reviewer: Marius Tarnauceanu (Iaşi) MSC: 13A30 13F20 52B20 06B99 05C99 PDFBibTeX XMLCite \textit{I. Gitler} et al., J. Pure Appl. Algebra 201, No. 1--3, 17--24 (2005; Zbl 1081.13002) Full Text: DOI
Escobar, Cesar A.; Martínez-Bernal, José; Villarreal, Rafael H. Relative volumes and minors in monomial subrings. (English) Zbl 1051.52008 Linear Algebra Appl. 374, 275-290 (2003). Reviewer: P. McMullen (London) MSC: 52B20 13H10 13F20 13B22 PDFBibTeX XMLCite \textit{C. A. Escobar} et al., Linear Algebra Appl. 374, 275--290 (2003; Zbl 1051.52008) Full Text: DOI
Koch, Robert Affine monoids, Hilbert bases and Hilbert functions. (English) Zbl 1138.13300 Osnabrück: Univ. Osnabrück, Fachbereich Mathematik/Informatik. v, 102 p. (2003). MSC: 13-02 52-02 13D40 PDFBibTeX XMLCite \textit{R. Koch}, Affine monoids, Hilbert bases and Hilbert functions. Osnabrück: Univ. Osnabrück, Fachbereich Mathematik/Informatik (2003; Zbl 1138.13300) Full Text: Link Link