33 citations · 62 across the 20 of their papers we have counts for
5 papers · 1 filter
Tropical Carathéodory with Matroids
Georg Loho, Raman Sanyal
Bárány's colorful generalization of Carathéodory's Theorem combines geometrical and combinatorial constraints. Kalai-Meshulam (2005) and Holmsen (2016) generalized Bárány's theorem…
Face posets of tropical polyhedra and monomial ideals
Georg Loho, Ben Smith
We exhibit several posets arising from commutative algebra, order theory, tropical convexity as potential face posets of tropical polyhedra, and we clarify their inclusion relation…
Tropical Ehrhart Theory and Tropical Volume
Georg Loho, Matthias Schymura
We introduce a novel intrinsic volume concept in tropical geometry. This is achieved by developing the foundations of a tropical analog of lattice point counting in polytopes. We e…
MatchTheNet -- An Educational Game on 3-Dimensional Polytopes
Michael Joswig, Georg Loho, Benjamin Lorenz +1
We present an interactive game which challenges a single player to match 3-dimensional polytopes to their planar nets. It is open source, and it runs in standard web browsers
Signed tropical convexity
Georg Loho, László A. Végh
We establish a new notion of tropical convexity for signed tropical numbers. We provide several equivalent descriptions involving balance relations and intersections of open halfsp…