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

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EXTENDABLE SHELLING, SIMPLICIAL AND TORIC $h$-VECTOR OF SOME POLYTOPES

Dusko Jojic

Prirodno-matematicki fakultet, 78000 Banja Luka, Bosnia and Herzegovina

Abstract: 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

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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
© 2008 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition