Tropical Combinatorics
Tropical Combinatorics
Tropical Combinatorics
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4<br />
3<br />
2<br />
1<br />
0<br />
(1,0,3)<br />
(2,0,2)<br />
(3,0,1)<br />
(0,0,4) (0,1,3) (0,2,2)<br />
(2,1,1)<br />
(1,1,2)<br />
(1,2,1)<br />
(0,3,1)<br />
(4,0,0) (3,1,0) (2,2,0) (1,3,0) (0,4,0)<br />
-1<br />
-1 0 1 2 3 4 5<br />
A Sufficiently Generic Example<br />
400<br />
301<br />
202<br />
310<br />
I t(A) = 〈x1, x2, x3, x4〉 3<br />
103<br />
211<br />
0 → S 10 → S 24 → S 15 → S → 0<br />
4<br />
004<br />
112<br />
220<br />
013<br />
3<br />
121<br />
022<br />
130<br />
031<br />
1 2<br />
040
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