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log-concave
Rota's unimodal conjecture ★★★
Author(s): Rota
Let be a matroid of rank
, and for
let
be the number of closed sets of rank
.
Conjecture
is unimodal.
![$ w_0,w_1,\ldots,w_r $](/files/tex/44d0d863f1306476a87d39f7b389e116afd6410d.png)
Conjecture
is log-concave.
![$ w_0,w_1,\ldots,w_r $](/files/tex/44d0d863f1306476a87d39f7b389e116afd6410d.png)
Keywords: flat; log-concave; matroid
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