Comăneci, Andrei; Joswig, Michael Asymmetric tropical distances and power diagrams. (English) Zbl 1544.14061 Algebr. Comb. 6, No. 5, 1211-1233 (2023). Reviewer: Cristhian Garay (Guanajuato) MSC: 14T15 13D02 52B55 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loho, Georg; Smith, Ben Face posets of tropical polyhedra and monomial ideals. (English) Zbl 07806238 Electron. J. Comb. 30, No. 4, Research Paper P4.11, 57 p. (2023). MSC: 14T15 52B99 13D02 06A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Joswig, Michael; Smith, Ben Convergent Hahn series and tropical geometry of higher rank. (English) Zbl 1534.14058 J. Lond. Math. Soc., II. Ser. 107, No. 4, 1450-1481 (2023). Reviewer: Cristhian Garay (Guanajuato) MSC: 14T15 12D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chernikov, Artem; Mennen, Alex Combinatorial properties of nonarchimedean convex sets. (English) Zbl 1527.52004 Pac. J. Math. 323, No. 1, 1-30 (2023). Reviewer: Mircea Balaj (Oradea) MSC: 52A35 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loho, Georg; Sanyal, Raman Tropical Carathéodory with matroids. (English) Zbl 1515.52005 Discrete Comput. Geom. 69, No. 1, 139-155 (2023). MSC: 52A35 14T15 05B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hahn, Marvin Anas; Li, Binglin Mustafin varieties, moduli spaces and tropical geometry. (English) Zbl 1508.14067 Manuscr. Math. 166, No. 1-2, 167-197 (2021). MSC: 14T15 14D06 14D20 20E42 20G25 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael What tropical geometry tells us about the complexity of linear programming. (English) Zbl 1459.90124 SIAM Rev. 63, No. 1, 123-164 (2021). MSC: 90C05 90C51 90C24 14T10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Loho, Georg Abstract tropical linear programming. (English) Zbl 1454.14157 Electron. J. Comb. 27, No. 2, Research Paper P2.51, 68 p. (2020). MSC: 14T90 90C05 52C40 91A50 05E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Joswig, Michael; Loho, Georg Monomial tropical cones for multicriteria optimization. (English) Zbl 1477.90097 SIAM J. Discrete Math. 34, No. 2, 1172-1191 (2020). Reviewer: César Gutiérrez (Valladolid) MSC: 90C29 14T90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Allamigeon, Xavier; Gaubert, Stéphane; Skomra, Mateusz Tropical spectrahedra. (English) Zbl 1437.14066 Discrete Comput. Geom. 63, No. 3, 507-548 (2020). MSC: 14T10 14T15 90C22 14P10 12J25 15A03 15A15 16Y60 52A37 14T25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaubert, Stéphane; Niv, Adi Tropical planar networks. (English) Zbl 1434.15014 Linear Algebra Appl. 595, 123-144 (2020). MSC: 15A80 15A15 15A18 14T10 05C82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaubert, Stéphane; MacCaig, Marie Approximating the volume of tropical polytopes is difficult. (English) Zbl 1420.14139 Int. J. Algebra Comput. 29, No. 2, 357-389 (2019). MSC: 14T05 52B55 16Y60 14Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clark, Timothy B. P.; Tchernev, Alexandre B. Minimal free resolutions of monomial ideals and of toric rings are supported on posets. (English) Zbl 1471.13030 Trans. Am. Math. Soc. 371, No. 6, 3995-4027 (2019). MSC: 13D02 06A11 14M25 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael Log-barrier interior point methods are not strongly polynomial. (English) Zbl 1391.90637 SIAM J. Appl. Algebra Geom. 2, No. 1, 140-178 (2018). MSC: 90C51 14T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Depersin, Jules; Gaubert, Stéphane; Joswig, Michael A tropical isoperimetric inequality. (English) Zbl 1397.14077 Sémin. Lothar. Comb. 78B, Article 27, 12 p. (2017). MSC: 14T05 52B60 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Allamigeon, Xavier; Katz, Ricardo D. Tropicalization of facets of polytopes. (English) Zbl 1398.14063 Linear Algebra Appl. 523, 79-101 (2017). MSC: 14T05 52A30 52B05 52B12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Allamigeon, Xavier; Gaubert, Stéphane; Skomra, Mateusz Solving generic nonarchimedean semidefinite programs using stochastic game algorithms. (English) Zbl 1360.90185 Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 31-38 (2016). MSC: 90C22 90C27 91A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Joswig, Michael; Loho, Georg Weighted digraphs and tropical cones. (English) Zbl 1405.14141 Linear Algebra Appl. 501, 304-343 (2016). MSC: 14T05 52B12 05C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hampe, Simon Tropical linear spaces and tropical convexity. (English) Zbl 1330.14099 Electron. J. Comb. 22, No. 4, Research Paper P4.43, 20 p. (2015). Reviewer: Nikita Kalinin (Geneva) MSC: 14T05 52A07 52A20 52B40 14N25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael Tropicalizing the simplex algorithm. (English) Zbl 1334.14033 SIAM J. Discrete Math. 29, No. 2, 751-795 (2015). Reviewer: Péter E. Frenkel (Budapest) MSC: 14T05 90C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Josephine Tropicalizing the positive semidefinite cone. (English) Zbl 1316.14119 Proc. Am. Math. Soc. 143, No. 5, 1891-1895 (2015). Reviewer: Mustafa Hakan Güntürkün (İzmir) MSC: 14T05 52B12 26A51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Allamigeon, Xavier; Fahrenberg, Uli; Gaubert, Stéphane; Katz, Ricardo D.; Legay, Axel Tropical Fourier-Motzkin elimination, with an application to real-time verification. (English) Zbl 1301.90069 Int. J. Algebra Comput. 24, No. 5, 569-607 (2014). MSC: 90C25 15A80 91A46 90C32 68Q85 52A01 52B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Allamigeon, Xavier; Gaubert, Stéphane; Goubault, Éric Computing the vertices of tropical polyhedra using directed hypergraphs. (English) Zbl 1312.52001 Discrete Comput. Geom. 49, No. 2, 247-279 (2013). MSC: 52A01 05C65 14T05 52B05 68Q17 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kozlov, Dmitry N. Moduli spaces of tropical curves of higher genus with marked points and homotopy colimits. (English) Zbl 1227.14050 Isr. J. Math. 182, 253-291 (2011). Reviewer: Alexander Esterov (Moscow) MSC: 14T05 57Q05 14H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Allamigeon, Xavier; Gaubert, Stéphane; Katz, Ricardo D. The number of extreme points of tropical polyhedra. (English) Zbl 1246.14078 J. Comb. Theory, Ser. A 118, No. 1, 162-189 (2011). Reviewer: Serge Lawrencenko (Moskva) MSC: 14T05 52A01 52B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaubert, Stéphane; Katz, Ricardo D. The tropical analogue of polar cones. (English) Zbl 1172.52002 Linear Algebra Appl. 431, No. 5-7, 608-625 (2009). Reviewer: Rita Pini (Milano) MSC: 52A01 16Y60 46A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv