h-vectors of matroids and logarithmic concavity

Details h-vectors of matroids and logarithmic concavity h-vectors of matroids and logarithmic concavity

2012-01-13

arxiv.org/abs/1201.2915v1

Mathematics

Combinatorics

5 pages

Scientific paper

Dawson's conjecture states that the h-vector of a matroid complex is
log-concave. A proof is given for matroids representable over a field of
characteristic zero, and in particular for all graphs. The proof is based on
the geometric deletion-restriction formula of Denham, Garrousian, and Schulze.

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