Name
Abstract | ||
|---|---|---|
Let f ( Δ ) = ( f 0 , f 1 , …, f d −1 ) be the f -vector of a Cohen-Macaulay complex Δ. Björner proved that ( ∗ ) f i ⩽ f ( d −2)− i for any 0⩽i<[ d 2 ] and ( ∗∗ ) f 0 ⩽f 1 ⩽ … ⩽f [ (d−1) 2 ] . Recently, Stanley generalized Björner's inequalities ( ∗ ) and ( ∗∗ ) for pure simplicial complexes. In this paper we consider O -sequence analogue of the inequalities ( ∗ ) and ( ∗∗ ). Let ( h 0 , h 1 , …, h s ), h s ≠0, is a pure O -sequence. We shall prove that h i ⩽ h s − i for any 0⩽i⩽[ s 2 ] and h 0 ⩽h 1 ⩽ … ⩽h [ (s+1) 2 ] . |
Year | DOI | Venue |
|---|---|---|
1989 | 10.1016/0097-3165(89)90025-3 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
pure o-sequences | Discrete mathematics,Combinatorics,Mathematics | Journal |
Volume | Issue | ISSN |
50 | 2 | Journal of Combinatorial Theory, Series A |
Citations | PageRank | References |
17 | 1.77 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Takayuki Hibi | 1 | 94 | 30.08 |