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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; GAP; TOPCOM; SageMath; cdd; LattE; Maple; 4ti2; nauty; Magma; PORTA; a-tint; GitHub; SCIP; 01poly; JavaView; OEIS
Referenced in: 326 Publications
This software is also referenced in ORMS.
Further Publications: http://polymake.org/doku.php/publications
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Referenced by 462 Authors

40 Joswig, Michael
15 Paffenholz, Andreas
14 Sturmfels, Bernd
13 Ziegler, Günter Matthias
9 Haase, Christian Alexander
8 Nill, Benjamin
7 Markwig, Hannah
6 Forcey, Stefan
6 Fourier, Ghislain
6 Gawrilow, Ewgenij
6 Kastner, Lars
6 Lorenz, Benjamin
6 Pfetsch, Marc E.
5 Fienberg, Stephen Elliot
5 Gaubert, Stéphane
5 Hampe, Simon
5 Reitebuch, Ulrich
5 Rinaldo, Alessandro
5 Santos, Francisco
5 Schürmann, Achill
5 Yoshida, Ruriko
4 Fisikopoulos, Vissarion
4 Herr, Katrin
4 Herrmann, Sven
4 Huggins, Peter
4 Kaibel, Volker
4 Rörig, Thilo
4 Schröter, Benjamin
4 Stephan, Rüdiger
4 Weber, Andreas Günter
4 Yu, Josephine
3 Adamaszek, Michal
3 Allamigeon, Xavier
3 Assarf, Benjamin
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 Markwig, Thomas
3 Padrol, Arnau
3 Panizzut, Marta
3 Pesenti, Raffaele
3 Pfeifle, Julian
3 Rehn, Thomas
3 Samal, Satya Swarup
3 Schymura, Matthias
3 Seiler, Werner M.
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 Baumeister, Barbara
2 Benchimol, Pascal
2 Benedetti, Bruno
2 Bogart, Tristram
2 Brodsky, Sarah B.
2 Ceballos, Cesar
2 Chua, Lynn
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 Hibi, Takayuki
2 Higashitani, Akihiro
2 Hojny, Christopher
2 Ichim, Bogdan
2 Jordan, Charles
2 Kahle, Thomas
2 Kalai, Gil
2 Katz, Eric
2 Keefe, Logan
2 Keicher, Simon
2 Kubjas, Kaie
2 Lin, Bo
2 Loho, Georg
2 Lowe, Robert L.
2 Lutz, Frank Hagen
2 Macchia, Marco
2 Matsen, Frederick A. IV
2 Michałek, Mateusz
2 Montúfar, Guido F.
2 Morrison, Ralph
2 Ochse, Dennis
2 O’Shea, Edwin
...and 362 more Authors
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Referenced in 116 Serials

22 Discrete & Computational Geometry
11 Journal of Algebra
10 Journal of Combinatorial Theory. Series A
10 Journal of Algebraic Combinatorics
10 The Electronic Journal of Combinatorics
8 Journal of Symbolic Computation
7 Bulletin of Mathematical Biology
6 Experimental Mathematics
5 Discrete Applied Mathematics
5 Mathematics of Computation
5 Beiträge zur Algebra und Geometrie
5 Electronic Geometry Model
4 Journal of Mathematical Biology
4 Advances in Mathematics
4 SIAM Journal on Discrete Mathematics
4 Mathematical Programming. Series A. Series B
4 Annals of Combinatorics
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 Computational Geometry
3 Linear Algebra and its Applications
3 Journal of High Energy Physics
3 Advances in Geometry
3 Lecture Notes in Computer Science
3 ACM Communications in Computer Algebra
3 Mathematical Programming Computation
2 The Annals of Statistics
2 Journal of Combinatorial Theory. Series B
2 Kybernetika
2 Le Matematiche
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 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
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Journal of Mathematical Physics
1 Mathematische Semesterberichte
1 Nuclear Physics. B
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 Mathematics of Operations Research
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 Operations Research Letters
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 Computational and Applied Mathematics
1 Selecta Mathematica. New Series
1 Reliable Computing
1 International Transactions in Operational Research
1 Séminaire Lotharingien de Combinatoire
1 Computing and Visualization in Science
1 Optimization Methods & Software
1 Journal of the ACM
1 Chaos
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Homology, Homotopy and Applications
1 RAIRO. Operations Research
1 Algebraic & Geometric Topology
...and 16 more Serials
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Referenced in 44 Fields

167 Convex and discrete geometry (52-XX)
107 Algebraic geometry (14-XX)
82 Combinatorics (05-XX)
59 Computer science (68-XX)
47 Operations research, mathematical programming (90-XX)
35 Commutative algebra (13-XX)
28 Biology and other natural sciences (92-XX)
18 Geometry (51-XX)
18 Numerical analysis (65-XX)
16 Statistics (62-XX)
13 Group theory and generalizations (20-XX)
11 Number theory (11-XX)
10 Probability theory and stochastic processes (60-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Algebraic topology (55-XX)
8 Manifolds and cell complexes (57-XX)
7 Quantum theory (81-XX)
6 General and overarching topics; collections (00-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
5 Ordinary differential equations (34-XX)
4 Associative rings and algebras (16-XX)
4 Category theory; homological algebra (18-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
3 Nonassociative rings and algebras (17-XX)
3 Differential geometry (53-XX)
2 Field theory and polynomials (12-XX)
2 Functions of a complex variable (30-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Functional analysis (46-XX)
2 Mechanics of particles and systems (70-XX)
1 Mathematical logic and foundations (03-XX)
1 Topological groups, Lie groups (22-XX)
1 Partial differential equations (35-XX)
1 Approximations and expansions (41-XX)
1 Operator theory (47-XX)
1 General topology (54-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)

Referencing Publications by Year