A Monotonicity Property of h-vectors and h*-vectors

@article{Stanley1993AMP,
  title={A Monotonicity Property of h-vectors and h*-vectors},
  author={Richard P. Stanley},
  journal={Eur. J. Comb.},
  year={1993},
  volume={14},
  pages={251-258}
}
  • Richard P. Stanley
  • Published in Eur. J. Comb. 1993
  • Mathematics, Computer Science
  • If ? is a Cohen-Macaulay simplicial complex of dimension d - 1 and ?? is a Cohen-Macaulay subcomplex of dimension e - 1, such that no e + 1 vertices of ?? form a face of ?, then we show that h (??) ? h(?), where h denotes the h-vector. In particular, h(??) ? h(?) if ? and ?? are Cohen-Macaulay of the same dimension. Using similar techniques we obtain a class of Gorenstein complexes ?, the h-vector of which is unimodal. Most of these results were obtained earlier by Kalai in a somewhat more… CONTINUE READING

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