2 citations · 3 across the 3 of their papers we have counts for
5 papers
Reverse Lexicographic and Lexicographic Shifting
Eric Babson, Isabella Novik, Rekha R. Thomas
A short new proof of the fact that all shifted complexes are fixed by reverse lexicographic shifting is given. A notion of lexicographic shifting, $Δ_{\lex}$ -- an operation that t…
How neighborly can a centrally symmetric polytope be?
Nathan Linial, Isabella Novik
We show that there exist k-neighborly centrally symmetric d-dimensional polytopes with 2(n+d) vertices, where k(d,n)=Theta(d/(1+log ((d+n)/d))). We also show that this bound is tig…
Symmetric iterated Betti numbers
Eric Babson, Isabella Novik, Rekha Thomas
We define a set of invariants of a homogeneous ideal in a polynomial ring called the symmetric iterated Betti numbers of . For , the Stanley-Reisner ideal of a simplici…
A short simplicial h-vector and the upper bound theorem
Patricia Hersh, Isabella Novik
We verify the Upper Bound Conjecture (UBC) for a class of odd-dimensional simplicial complexes that in particular includes all Eulerian simplicial complexes with isolated singulari…
Syzygies of Oriented Matroids
I. Novik, A. Postnikov, B. Sturmfels
We construct minimal cellular resolutions of squarefree monomial ideals arising from hyperplane arrangements, matroids and oriented matroids. These are Stanley-Reisner ideals of co…