12 citations · 12 across the 3 of their papers we have counts for
5 papers
Tropical Computations in polymake
Simon Hampe, Michael Joswig
We give an overview of recently implemented polymake features for computations in tropical geometry. The main focus is on explicit examples rather than technical explanations. Our…
Algorithms for Tight Spans and Tropical Linear Spaces
Simon Hampe, Michael Joswig, Benjamin Schröter
We describe a new method for computing tropical linear spaces and more general duals of polyhedral subdivisions. It is based on Ganter's algorithm (1984) for finite closure systems…
The polymake XML file format
Ewgenij Gawrilow, Simon Hampe, Michael Joswig
We describe an XML file format for storing data from computations in algebra and geometry. We also present a formal specification based on a RELAX-NG schema.
The intersection ring of matroids
Simon Hampe
We study a particular graded ring structure on the set of all loopfree matroids on a fixed labeled ground set, which occurs naturally in tropical geometry. The product is given by…
Tropical linear spaces and tropical convexity
Simon Hampe
In classical geometry, a linear space is a space that is closed under linear combinations. In tropical geometry, it has long been a consensus that tropical varieties defined by val…