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extensions [2019/01/29 21:46] – external edit 127.0.0.1extensions [2020/03/18 12:36] joswig
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 ===== Lattice Polytopes and Toric Geometry ===== ===== Lattice Polytopes and Toric Geometry =====
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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]] 
  
   * Silke Horn/Andreas Paffenholz:   * Silke Horn/Andreas Paffenholz:
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     * //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.
  
 ===== Tropical Geometry ===== ===== Tropical Geometry =====
  
 +  * Michael Joswig, Marta Panizzut, Bernd Sturmfels: [[extensions:tropicalcubics|Tropical Cubics]]
 +  * Ewgenij Gawrilow, Michael Joswig, Benjamin Schröter: [[extensions:polytropes|polytropes]]
   * Simon Hampe: [[https://github.com/simonhampe/atint|Algorithmic tropical intersection theory]] (now bundled with polymake)   * 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 =====
  
-  * 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.
  
 ===== Extended Formulations ===== ===== Extended Formulations =====
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   * Matthias Walter: [[https://github.com/xammy/polymake-extended-formulations|This extension]] can compute nonnegative slack matrix factorizations from extended formulations of polytopes and vice versa. See [[https://github.com/xammy/polymake-extended-formulations/wiki|here]] for more information.   * Matthias Walter: [[https://github.com/xammy/polymake-extended-formulations|This extension]] can compute nonnegative slack matrix factorizations from extended formulations of polytopes and vice versa. See [[https://github.com/xammy/polymake-extended-formulations/wiki|here]] for more information.
  
-===== Phylogentics =====+===== Phylogenetics =====
  
   * Sven Herrmann: [[http://www.uea.ac.uk/computing/quasidec|QuasiDec]]. This extension contains an algorithm for computing the block decomposition of a quasi-median graph obtained from a set of partitions or a sequence alignment.   * Sven Herrmann: [[http://www.uea.ac.uk/computing/quasidec|QuasiDec]]. This extension contains an algorithm for computing the block decomposition of a quasi-median graph obtained from a set of partitions or a sequence alignment.
   * 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.
  
-===== Other ===== 
  
-  * Silke Horn: [[http://solros.de/polymake/poly_db|poly_db]]. Access to the [[polydb|polymake polytope database]].  (Now bundled with polymake) 
-      * releases and other information: [[http://solros.de/polymake/poly_db|poly_db]] 
-      * [[user_guide:howto:poly_db_tutorial|tutorial]] 
-      * latest: [[http://github.com/solros/poly_db|github]] 
  
  • extensions.txt
  • Last modified: 2021/12/07 13:20
  • by panizzut