Open AccessExtendable shelling, simplicial and toric h-vector of some polytopes
Author(s) -
Duško Jojić
Publication year - 2007
Publication title -
publications de l institut mathematique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim0795085j
Subject(s) - polytope , simplex , simplicial complex , mathematics , combinatorics , toric variety , h vector , dual (grammatical number) , pure mathematics , art , literature
We show that the stellar subdivisions of a simplex are extendably shellable. These polytopes appear as the facets of the dual of a hypersim- plex. Using this fact, we calculate the simplicial and toric h-vector of the dual of a hypersimplex. Finally, we calculate the contribution of each shelling component to the toric h-vector.
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