Generic and special constructions of pure O-sequences

@article{Constantinescu2014GenericAS,
  title={Generic and special constructions of pure O-sequences},
  author={Alexandru R Constantinescu and Thomas Kahle and Matteo Varbaro},
  journal={Bulletin of The London Mathematical Society},
  year={2014},
  volume={46},
  pages={924-942}
}
  • Alexandru R Constantinescu, Thomas Kahle, Matteo Varbaro
  • Published 2014
  • Mathematics
  • Bulletin of The London Mathematical Society
  • It is shown that the h-vectors of Stanley–Reisner rings of three classes of matroids are pure O-sequences. The classes are (a) matroids that are truncations of matroids, or more generally of Cohen–Macaulay complexes, (b) matroids whose dual is (rank + 2)-partite, and (c) matroids of Cohen–Macaulay type at most 5. Consequences for the computational search for a counterexample to a conjecture of Stanley are discussed. 

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