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extensions [2015/05/25 11:30] – [Lattice Polytopes and Toric Geometry] paffenholz | extensions [2019/05/27 13:35] – [Lattice Polytopes and Toric Geometry] Remove deprecated extensions, most of the functionality is in core anyway lkastner |
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====== Available Extensions ====== | ====== Available Extensions ====== |
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''polymake'' supports an [[reference/extensions|extension system]] for writing and maintaining outside the distribution. Please contact the extension's authors if you have questions. | ''polymake'' supports an [[user_guide:extend:extensions|extension system]] for writing and maintaining outside the distribution. Please contact the extension's authors if you have questions. |
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===== Lattice Polytopes and Toric Geometry ===== | ===== Lattice Polytopes and Toric Geometry ===== |
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* Silke Horn: [[http://solros.de/polymake/poly_db|poly_db]]. Access to the [[data|polymake polytope database]]. | |
* releases and other information: [[http://solros.de/polymake/poly_db|poly_db]] | |
* [[tutorial/poly_db_tutorial|tutorial]] | |
* latest: [[http://github.com/solros/poly_db|github]] | |
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* Lars Kastner/Benjamin Lorenz: [[https://github.com/lkastner|Toric Varieties and Singular interface]] | |
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* Benjamin Lorenz: [[http://ehrhart.math.fu-berlin.de/people/benmuell/classification.html|classification of smooth lattice polytopes with few lattice points]] | |
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* Silke Horn/Andreas Paffenholz: | * Silke Horn/Andreas Paffenholz: |
* //defect polytopes//: This extension allows computations used in [[http://arxiv.org/abs/1105.5027|Joswig, Paffenholz: Defect Polytopes and Counter-Examples with polymake, arxiv:1105:5027]] | * //defect polytopes//: This extension allows computations used in [[http://arxiv.org/abs/1105.5027|Joswig, Paffenholz: Defect Polytopes and Counter-Examples with polymake, arxiv:1105:5027]] |
* polymake 2.12: [[http://www.mathematik.tu-darmstadt.de/~paffenholz/software.html|DefectPolytopes-v0.1]] | * polymake 2.12: [[http://www.mathematik.tu-darmstadt.de/~paffenholz/software.html|DefectPolytopes-v0.1]] |
* //[[https://github.com/apaffenholz/polymake_projectionWithSubdivision|projection_with_subdivision]]//: Projections of smooth polytopes together with the hyperplane subdivision implied by the facets. | * //[[https://github.com/apaffenholz/polymake_projection_with_subdivision|projection_with_subdivision]]//: Projections of smooth polytopes together with the hyperplane subdivision implied by the facets. |
* {{:download:barvinok-extension-1.0.tar.bz2}}\\ This extension lets you use [[http://www.kotnet.org/~skimo/barvinok/|barvinok]] by Sven Verdolaege for the computation of the number of lattice points in a rational polytope and the coefficients of the Ehrhart polynomial of a lattice polytope. | * {{:download:barvinok-extension-1.0.tar.bz2}}\\ This extension lets you use [[http://barvinok.gforge.inria.fr/|barvinok]] by Sven Verdolaege for the computation of the number of lattice points in a rational polytope and the coefficients of the Ehrhart polynomial of a lattice polytope. |
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===== Tropical Geometry ===== | ===== Tropical Geometry ===== |
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* Simon Hampe: [[https://bitbucket.org/hampe/atint/|Algorithmic tropical intersection theory]] | * Simon Hampe: [[https://github.com/simonhampe/atint|Algorithmic tropical intersection theory]] (now bundled with polymake) |
* Silke Horn: [[http://solros.de/polymake/tropmat/|Tropical Oriented Matroids]] | * Silke Horn: [[http://solros.de/polymake/tropmat/|Tropical Oriented Matroids]] |
===== Integer Programming ===== | ===== Integer Programming ===== |
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* Matthias Walter: With [[http://github.com/xammy/unimodularity-test/wiki/Polymake-Extension|this extension]] you can test an integer matrix for total unimodularity. If the answer is "no", it can return the row/column indices of a submatrix with |det| >= 2. It can also test for the related properties (strong) unimodularity, (strong) k-modularity and the Dantzig property. See [[http://www.math.uni-magdeburg.de/~walter/TUtest/|here]] for more information on implementation and theory. | * Matthias Walter: With [[http://github.com/xammy/unimodularity-test/wiki/Polymake-Extension|this extension]] you can test an integer matrix for total unimodularity. If the answer is "no", it can return the row/column indices of a submatrix with |det| >= 2. It can also test for the related properties (strong) unimodularity, (strong) k-modularity and the Dantzig property. See [[http://matthiaswalter.org/TUtest/|here]] for more information on implementation and theory. |
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===== Extended Formulations ===== | ===== Extended Formulations ===== |
* Sven Herrmann and Andreas Spillner: [[http://www.uea.ac.uk/computing/comrit|CoMRiT]]. This extensions contains a new application metric introducing finite metric spaces as objects. The core feature is an algorithm to compute a realisation of a finite metric space using the tight-span, as described in Herrmann, Moulton, Spillner: Computing Realizations of Finite Metric Spaces. | * Sven Herrmann and Andreas Spillner: [[http://www.uea.ac.uk/computing/comrit|CoMRiT]]. This extensions contains a new application metric introducing finite metric spaces as objects. The core feature is an algorithm to compute a realisation of a finite metric space using the tight-span, as described in Herrmann, Moulton, Spillner: Computing Realizations of Finite Metric Spaces. |
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===== Other ===== | |
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* Silke Horn: [[http://solros.de/polymake/poly_db|poly_db]]. Access to the [[data|polymake polytope database]]. | |
* releases and other information: [[http://solros.de/polymake/poly_db|poly_db]] | |
* [[tutorial/poly_db_tutorial|tutorial]] | |
* latest: [[http://github.com/solros/poly_db|github]] | |
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