Tropical Combinatorics
Tropical Combinatorics
Tropical Combinatorics
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<strong>Tropical</strong> Hyperplanes<br />
F(x) = (α1 ⊙ x1) ⊕ (α2 ⊙ x2) ⊕ (α3 ⊙ x3) linear homogeneous<br />
T (F) = −(α1, α2, α3) + (R≥0e1 ∪ R≥0e2 ∪ R≥0e3) + R1<br />
= (0, α1 − α2, α1 − α3) + (R≥0(−e2 − e3) ∪ R≥0e2 ∪ R≥0e3)<br />
−α