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extensions [2019/05/16 12:03] – [Lattice Polytopes and Toric Geometry] paffenholz | extensions [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]] | |
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* Silke Horn/Andreas Paffenholz: | * Silke Horn/Andreas Paffenholz: |
===== Tropical Geometry ===== | ===== Tropical Geometry ===== |
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| * 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]] |
* 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. |
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===== Phylogentics ===== | ===== Phylogenetics ===== |
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* 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. |