2 problems

Let $P$ be a simple polytope, and let $(\gamma_i(P))$ and $(g_i(P))$ denote its $\gamma$-vector entries and toric $g$-vector entries, respectively. Toric g-vector Kruskal–Katona co…

Let $\Delta$ be a flag homology sphere. Its $\gamma$-vector, denoted by $\gamma(\Delta)$, is the vector associated with the $\gamma$-polynomial of $\Delta$. Kruskal–Katona conjectu…