Almost simplicial polytopes
Seminar
Speaker
Eran Nevo (Hebrew U)
Date
29/11/2015 - 15:30 - 14:00Add to Calendar
2015-11-29 14:00:00
2015-11-29 15:30:00
Almost simplicial polytopes
We study $n$-vertex $d$-dimensional polytopes with at most one nonsimplex facet with, say, $d+s$ vertices, called almost simplicial polytopes.
We provide tight lower and upper bound theorems for these polytopes as functions of $d,n$ and $s$, thus generalizing the classical Lower Bound Theorem by Barnette and Upper Bound Theorem by McMullen, which treat the case $s=0$. We characterize the minimizers and provide examples of maximizers, for any $d$.
Time permitting, I'll also discuss results on reconstruction problems for these and for related polytopes.
This is joint work with Guillermo Pineda-Villavicencio, Julien Ugon, David Yost.
Building 216, Room 201
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Building 216, Room 201
Abstract
We study $n$-vertex $d$-dimensional polytopes with at most one nonsimplex facet with, say, $d+s$ vertices, called almost simplicial polytopes.
We provide tight lower and upper bound theorems for these polytopes as functions of $d,n$ and $s$, thus generalizing the classical Lower Bound Theorem by Barnette and Upper Bound Theorem by McMullen, which treat the case $s=0$. We characterize the minimizers and provide examples of maximizers, for any $d$.
Time permitting, I'll also discuss results on reconstruction problems for these and for related polytopes.
Last Updated Date : 17/11/2015
