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.
תאריך עדכון אחרון : 17/11/2015