Geodesic
Extendable Shelling, Simplicial and Toric h-vector of Some Polytopes
Publications de l'Institut Mathématique, _N_S_81 (2007) no. 95, p. 85 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
@article{10_2298_PIM0795085J,
     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 },
     publisher = {mathdoc},
     volume = {_N_S_81},
     number = {95},
     year = {2007},
     doi = {10.2298/PIM0795085J},
     zbl = {1164.52009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0795085J/}
}
TY  - JOUR
AU  - Duško Jojić
TI  - Extendable Shelling, Simplicial and Toric h-vector of Some Polytopes
JO  - Publications de l'Institut Mathématique
PY  - 2007
SP  - 85 
VL  - _N_S_81
IS  - 95
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM0795085J/
DO  - 10.2298/PIM0795085J
LA  - en
ID  - 10_2298_PIM0795085J
ER  - 
%0 Journal Article
%A Duško Jojić
%T Extendable Shelling, Simplicial and Toric h-vector of Some Polytopes
%J Publications de l'Institut Mathématique
%D 2007
%P 85 
%V _N_S_81
%N 95
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM0795085J/
%R 10.2298/PIM0795085J
%G en
%F 10_2298_PIM0795085J
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. http://geodesic.mathdoc.fr/articles/10.2298/PIM0795085J/

Cité par Sources :