Volume 15, No 3, 2008, P. 74-90
V. N. Shevchenko, D. V. Gruzdev
About $f$-vectors of pyramidal triangulations of point configurations
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.
Keywords: pyramidal triangulation, triangulation, point configuration.
Shevchenko Valery Nikolaevich 1
Gruzdev Dmitry Valentinovich 1
1. N. I. Lobachevski State University of Nizhni Novgorod,
ave. Gagarina, 23, 603950 Nizhni Novgorod, Russia
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