Geodesic
About $f$-vectors of pyramidal triangulations of point configurations
Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 3, pp. 74-90

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A triangulation of a point configuration is called pyramidal if all its simplexes have a common vertex. Some inequalities for the components of the $f$-vectors of pyramidal triangulations were established. Moreover, for each $d>3$ there was constructed a $d$-dimensional polytope with its triangulation $T(d)$ such that the $f$-vector of $T(d)$ is not realizable as the $f$-vector of a pyramidal triangulation. Bibl. 13.
Mots-clés : pyramidal triangulation, triangulation, point configuration. 
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     title = {About $f$-vectors of pyramidal triangulations of point configurations},
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V. N. Shevchenko; D. V. Gruzdev. About $f$-vectors of pyramidal triangulations of point configurations. Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 3, pp. 74-90. http://geodesic.mathdoc.fr/item/DA_2008_15_3_a7/