29 citations · 127 across the 14 of their papers we have counts for
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math.AC2015★ 12 cited
The degree of a tropical basis
Michael Joswig, Benjamin Schröter
We give an explicit upper bound for the degree of a tropical basis of a homogeneous polynomial ideal. As an application f-vectors of tropical varieties are discussed. Various examp…
math.OC2015★ 6 cited
Linear programs and convex hulls over fields of Puiseux fractions
Michael Joswig, Georg Loho, Benjamin Lorenz +1
We describe the implementation of a subfield of the field of formal Puiseux series in polymake. This is employed for solving linear programs and computing convex hulls depending on…