Geodesic
Extendable Shelling, Simplicial and Toric h-vector of Some Polytopes
Publications de l'Institut Mathématique, _N_S_81 (2007) no. 95, p. 85
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We show that the stellar subdivisions of a simplex are extendably shellable. These polytopes appear as the facets of the dual of a hypersimplex. 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.
DOI : 10.2298/PIM0795085J
Classification : 52B22 52B05
Keywords: extendable shellability, hypersimplex, toric $h$-vector 
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     author = {Du\v{s}ko Joji\'c},
     title = {Extendable {Shelling,} {Simplicial} and {Toric} h-vector of {Some} {Polytopes}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {85 },
     year = {2007},
     volume = {_N_S_81},
     number = {95},
     doi = {10.2298/PIM0795085J},
     zbl = {1164.52009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0795085J/}
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Duško Jojić. Extendable Shelling, Simplicial and Toric h-vector of Some Polytopes. Publications de l'Institut Mathématique, _N_S_81 (2007) no. 95, p. 85 . doi: 10.2298/PIM0795085J

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