Publications de l'Institut Mathématique, Nouvelle Série Vol. 81(95), pp. 85–93 (2007) 

EXTENDABLE SHELLING, SIMPLICIAL AND TORIC $h$VECTOR OF SOME POLYTOPESDusko JojicPrirodnomatematicki fakultet, 78000 Banja Luka, Bosnia and HerzegovinaAbstract: 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. Keywords: extendable shellability; hypersimplex; toric $h$vector Classification (MSC2000): 52B22; 52B05 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 20 Feb 2008. This page was last modified: 26 Feb 2008.
© 2008 Mathematical Institute of the Serbian Academy of Science and Arts
