polymake swMATH ID: 724 Software Authors: Ewgenij Gawrilow, Michael Joswig, and the polymake team Description: polymake is open source software for research in polyhedral geometry. It deals with polytopes, polyhedra and fans as well as simplicial complexes, matroids, graphs, tropical hypersurfaces, and other objects. Supported platforms include various flavors of Linux, FreeBSD and Mac OS. Homepage: http://polymake.org/doku.php/start Programming Languages: C++; Perl Operating Systems: Linux, FreeBSD, Mac OS Dependencies: cdd, lrs, latte, normaliz, ppl, Singular, nauty, bliss Keywords: polytope; matroid; tropical variety; lattice polytope; fan; toric variety; linear optimization Related Software: Macaulay2; Gfan; Normaliz; SINGULAR; TOPCOM; GAP; SageMath; cdd; Maple; LattE; 4ti2; Magma; nauty; GitHub; SCIP; a-tint; PPL; PORTA; JavaView; OEIS Cited in: 358 Documents This software is also referenced in ORMS. Further Publications: http://polymake.org/doku.php/publications Standard Articles 4 Publications describing the Software, including 4 Publications in zbMATH Year The polymake XML file format. Zbl 1434.68648Gawrilow, Ewgenij; Hampe, Simon; Joswig, Michael 2016 polymake and lattice polytopes. Zbl 1391.52019Joswig, Michael; Müller, Benjamin; Paffenholz, Andreas 2009 polymake: an approach to modular software design in computational geometry. Zbl 1375.68136Gawrilow, Ewgenij; Joswig, Michael 2001 polymake: a framework for analyzing convex polytopes. Zbl 0960.68182Gawrilow, Ewgenij; Joswig, Michael 2000 all top 5 Cited by 502 Authors 55 Joswig, Michael 23 Sturmfels, Bernd 15 Paffenholz, Andreas 13 Ziegler, Günter Matthias 9 Haase, Christian Alexander 8 Nill, Benjamin 7 Kastner, Lars 7 Lorenz, Benjamin 7 Markwig, Hannah 7 Schröter, Benjamin 6 Forcey, Stefan 6 Fourier, Ghislain 6 Gawrilow, Ewgenij 6 Hampe, Simon 6 Pfetsch, Marc E. 6 Yu, Josephine 5 Fienberg, Stephen Elliot 5 Gaubert, Stéphane 5 Herrmann, Sven 5 Pfeifle, Julian 5 Reitebuch, Ulrich 5 Rinaldo, Alessandro 5 Santos, Francisco 5 Schürmann, Achill 5 Yoshida, Ruriko 4 Allamigeon, Xavier 4 Assarf, Benjamin 4 Fisikopoulos, Vissarion 4 Herr, Katrin 4 Huggins, Peter 4 Kaibel, Volker 4 Panizzut, Marta 4 Rörig, Thilo 4 Stephan, Rüdiger 4 Weber, Andreas Günter 3 Adamaszek, Michal 3 Beck, Matthias 3 Bruns, Winfried 3 Catanzaro, Daniele 3 Cueto, María Angélica 3 De Loera, Jesús A. 3 Dutour-Sikiric, Mathieu 3 Eiswirth, Markus 3 Errami, Hassan 3 Fiorini, Samuel 3 Grigor’ev, Dmitriĭ Yur’evich 3 Lutz, Frank Hagen 3 Markwig, Thomas 3 Montúfar, Guido F. 3 Morton, Jason 3 Pachter, Lior 3 Padrol, Arnau 3 Pesenti, Raffaele 3 Rehn, Thomas 3 Samal, Satya Swarup 3 Schymura, Matthias 3 Seiler, Werner M. 3 Shiu, Anne 3 Speyer, David E. 3 Sullivant, Seth 3 Swinarski, David 3 Theobald, Thorsten 3 Williams, Lauren K. 3 Witte, Nikolaus 2 Adiprasito, Karim Alexander 2 Agnarsson, Geir 2 Anas Hahn, Marvin 2 Baumeister, Barbara 2 Beck, Amir 2 Benchimol, Pascal 2 Benedetti, Bruno 2 Bogart, Tristram 2 Brodsky, Sarah B. 2 Ceballos, Cesar 2 Chua, Lynn 2 Clarke, Oliver 2 Doignon, Jean-Paul 2 Effenberger, Felix 2 Ellis, Graham J. 2 Eriksson, Nicholas 2 Fang, Xin 2 Fröhlich, Holger 2 Gathmann, Andreas 2 Gibney, Angela 2 Goubault, Eric 2 Gubeladze, Joseph 2 Hallak, Nadav 2 Hibi, Takayuki 2 Higashitani, Akihiro 2 Hojny, Christopher 2 Ichim, Bogdan 2 Jordan, Charles 2 Kahle, Thomas 2 Kalai, Gil 2 Katz, Eric 2 Katz, Ricardo David 2 Keefe, Logan 2 Keicher, Simon 2 Klimm, Max 2 Kubjas, Kaie ...and 402 more Authors all top 5 Cited in 123 Serials 22 Discrete & Computational Geometry 12 Journal of Algebra 12 Journal of Combinatorial Theory. Series A 12 The Electronic Journal of Combinatorics 11 Journal of Symbolic Computation 10 Journal of Algebraic Combinatorics 7 Bulletin of Mathematical Biology 6 Beiträge zur Algebra und Geometrie 6 Experimental Mathematics 5 Discrete Applied Mathematics 5 Mathematics of Computation 5 SIAM Journal on Discrete Mathematics 5 Electronic Geometry Model 4 Journal of Mathematical Biology 4 Advances in Mathematics 4 Mathematical Programming. Series A. Series B 4 Annals of Combinatorics 4 Journal of High Energy Physics 4 Discrete Optimization 3 Discrete Mathematics 3 Israel Journal of Mathematics 3 Journal of Pure and Applied Algebra 3 Tôhoku Mathematical Journal. Second Series 3 European Journal of Combinatorics 3 Operations Research Letters 3 Computational Geometry 3 Linear Algebra and its Applications 3 Advances in Geometry 3 Lecture Notes in Computer Science 3 ACM Communications in Computer Algebra 3 Mathematical Programming Computation 3 SIAM Journal on Applied Algebra and Geometry 2 The Annals of Statistics 2 Journal of Combinatorial Theory. Series B 2 Kybernetika 2 Le Matematiche 2 Mathematics of Operations Research 2 Proceedings of the American Mathematical Society 2 Topology and its Applications 2 Advances in Applied Mathematics 2 Graphs and Combinatorics 2 SIAM Journal on Matrix Analysis and Applications 2 IMRN. International Mathematics Research Notices 2 European Journal of Operational Research 2 Séminaire Lotharingien de Combinatoire 2 Transformation Groups 2 Extremes 2 LMS Journal of Computation and Mathematics 2 Graduate Studies in Mathematics 2 Ars Mathematica Contemporanea 2 Research in the Mathematical Sciences 2 Journal of Applied and Computational Topology 1 Computer Physics Communications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Mathematische Semesterberichte 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Nuclear Physics. B 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Collectanea Mathematica 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Graph Theory 1 Journal of Mathematical Psychology 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Statistical Planning and Inference 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Semigroup Forum 1 SIAM Journal on Computing 1 Transactions of the American Mathematical Society 1 Social Choice and Welfare 1 Information and Computation 1 Computers & Operations Research 1 Kumamoto Journal of Mathematics 1 Forum Mathematicum 1 Annals of Operations Research 1 The Annals of Applied Probability 1 International Journal of Algebra and Computation 1 Automation and Remote Control 1 Pattern Recognition 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Review 1 Notices of the American Mathematical Society 1 SIAM Journal on Optimization 1 Journal of Mathematical Imaging and Vision 1 Computational Complexity 1 Combinatorics, Probability and Computing 1 Computational and Applied Mathematics 1 Selecta Mathematica. New Series 1 Reliable Computing 1 International Transactions in Operational Research 1 Computing and Visualization in Science 1 Optimization Methods & Software 1 Journal of the ACM ...and 23 more Serials all top 5 Cited in 45 Fields 179 Convex and discrete geometry (52-XX) 121 Algebraic geometry (14-XX) 90 Combinatorics (05-XX) 67 Computer science (68-XX) 52 Operations research, mathematical programming (90-XX) 37 Commutative algebra (13-XX) 29 Biology and other natural sciences (92-XX) 21 Numerical analysis (65-XX) 20 Statistics (62-XX) 19 Geometry (51-XX) 15 Group theory and generalizations (20-XX) 11 Number theory (11-XX) 11 Probability theory and stochastic processes (60-XX) 9 Algebraic topology (55-XX) 9 Manifolds and cell complexes (57-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Quantum theory (81-XX) 6 General and overarching topics; collections (00-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Ordinary differential equations (34-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Nonassociative rings and algebras (17-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 2 Functions of a complex variable (30-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year