Volume 15, No 3, 2008, P. 7490
UDC 519.852
V. N. Shevchenko, D. V. Gruzdev
About $f$vectors of pyramidal triangulations of point configurations
Abstract:
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.
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
email: shevgru@mail.ru, shev@uic.nnov.ru, gruzdevdv@mail.ru
