f-vectors and h-vectors of simplicial posets

@article{Stanley1991fvectorsAH,
  title={f-vectors and h-vectors of simplicial posets},
  author={R. Stanley},
  journal={Journal of Pure and Applied Algebra},
  year={1991},
  volume={71},
  pages={319-331}
}
  • R. Stanley
  • Published 1991
  • Mathematics
  • Journal of Pure and Applied Algebra
Stanely, R.P., f-vectors and h-vectors of simplicial posets, Journal of Pure and Applied Algebra 71 (1991) 319-331. A simplicial poset is a (finite) poset P with d such that every interval [6, x] is a boolean algebra. Simplicial posets are generalizations of simplicial complexes. The f-vector f(P) = (f,, f,, , ,f_,) of a simplicial poset P of rank d is defined by f; = #{x E P: [6, x] g B,, I}, where B,,, is a boolean algebra of rank i + 1. We give a complete characterization of the f-vectors of… Expand
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