On the structure of the h-vector of a paving matroid

Details On the structure of the h-vector of a paving matroid On the structure of the h-vector of a paving matroid

2010-08-12

arxiv.org/abs/1008.2031v2

Mathematics

Combinatorics

We've corrected typos and small mistakes in the previous version. We've also tidied up a few proofs and the references

Scientific paper

We give two proofs that the $h$-vector of any paving matroid is a pure
O-sequence, thus answering in the affirmative a conjecture made by R. Stanley,
for this particular class of matroids. We also investigate the problem of
obtaining good lower bounds for the number of bases of a paving matroid given
its rank and number of elements.

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