Eran Nevo

activity

20032026

most citedOn

γ

-vectors satisfying the Kruskal-Katona inequalities

40 citations · 90 across the 50 of their papers we have counts for

collaborators

Showing 2016 · math.COShow all

4 papers · 2 filters

math.CO2016

Bounds for entries of $γ$ -vectors of flag homology spheres

Jean-Philippe Labbé, Eran Nevo

We present some enumerative and structural results for flag homology spheres. For a flag homology sphere $Δ$ , we show that its $γ$ -vector $γ^{Δ} = (1, γ_{1}, γ_{2}, \dots)$ satisfies: \begin…

math.CO2016

Pach's selection theorem does not admit a topological extension

Imre Bárány, Roy Meshulam, Eran Nevo +1

Let $U_{1}, \dots, U_{d + 1}$ be $n$ -element sets in $R^{d}$ and let $⟨ u_{1}, \dots, u_{d + 1} ⟩$ denote the convex hull of points $u_{i}$ in $U_{i}$ (for all $i$ ) which is a (possibly…

math.CO2016

Lefschetz properties of balanced 3-polytopes

David Cook, Martina Juhnke-Kubitzke, Satoshi Murai +1

In this paper, we study Lefschetz properties of Artinian reductions of Stanley-Reisner rings of balanced simplicial $3$ -polytopes. A $(d - 1)$ -dimensional simplicial complex is said…

math.CO2016

On Betti numbers of flag complexes with forbidden induced subgraphs

Karim Adiprasito, Eran Nevo, Martin Tancer

We analyze the asymptotic extremal growth rate of the Betti numbers of clique complexes of graphs on n vertices not containing a fixed forbidden induced subgraph H. In particular,…

Bounds for entries of γ-vectors of flag homology spheres

Pach's selection theorem does not admit a topological extension

Lefschetz properties of balanced 3-polytopes

On Betti numbers of flag complexes with forbidden induced subgraphs

Bounds for entries of $γ$ -vectors of flag homology spheres