Isabella Novik

collaborators

3 papers

math.CO2026

Lower bounds on the $g$ -numbers of spheres without large missing faces

Isabella Novik, Hailun Zheng

We establish several new lower bounds on the $g$ -numbers of simplicial spheres without large missing faces. For this class of spheres, we derive bounds on the $g$ -numbers in terms…

math.CO2026

Simplicial spheres with $g_{k} = 1$

Isabella Novik, Hailun Zheng

For $d \geq 4$ , Kalai (1987) characterized all simplicial $(d - 1)$ -spheres with $g_{2} = 0$ , and for $k \geq 2$ and $d \geq 2 k$ , Murai and Nevo (2013) characterized all simplicial $(d - 1)$ -…

math.CO2025

Missing faces of neighborly and nearly neighborly polytopes and spheres

Isabella Novik, Hailun Zheng

For a $(d - 1)$ -dimensional simplicial complex $Δ$ and $1 \leq i \leq d$ , let $f_{i - 1}$ be the number of $(i - 1)$ -faces of $Δ$ and $m_{i}$ be the number of missing $i$ -faces of $Δ$ . In th…

Lower bounds on the g-numbers of spheres without large missing faces

Simplicial spheres with gk​=1

Missing faces of neighborly and nearly neighborly polytopes and spheres

Lower bounds on the $g$ -numbers of spheres without large missing faces

Simplicial spheres with $g_{k} = 1$