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

  • Merino C
  • Noble S
  • Ramírez-Ibáñez M
 et al. 
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Abstract

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 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. © 2012 Elsevier Ltd.

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