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math.CO2003
On the rank of a tropical matrix
M. Develin, F. Santos, B. Sturmfels
This is a foundational paper in tropical linear algebra, which is linear algebra over the min-plus semiring. We introduce and compare three natural definitions of the rank of a mat…
math.CO2003★ 3 cited
Short Rational Functions for Toric Algebra and Applications
Jesus De Loera, David Haws, Raymond Hemmecke +3
We encode the binomials belonging to the toric ideal associated with an integral matrix using a short sum of rational functions as introduced by Barvinok \ci…