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20032026
most citedOn -vectors satisfying the Kruskal-Katona inequalities

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

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57 papers · 1 filter

math.CO2026

Unimodality of Independence Polynomials for Sufficiently Large Forests

Ethan X. Fang, Junwei Lu, Eran Nevo +2

We prove that the independence sequence of every sufficiently large forest is unimodal. The result follows from establishing log-concavity on a central interval of the sequence, al…

math.CO2025

Matroids arising from algebraic shifting

Lazar Guterman, Eran Nevo

We characterize the shifted simple graphs and the -uniform shifted hypergraphs whose inverse image under exterior shifting is the set of bases of a matroid: those are exactly th…

math.CO2025

On an extension problem on the moment curve

Seunghun Lee, Eran Nevo

We show that for , every finite geometric simplicial complex in with vertices on the moment curve can be extended to a triangulation of the cycl…

math.CO2025

The typical algebraic shifting of a surface

Denys Bulavka, Eran Nevo, Yuval Peled

We initiate a statistical study of Kalai's exterior algebraic shifting, focusing on concentration phenomena for random triangulations of a fixed space. First, for a uniform -ver…

math.CO2025

On the -volume rigidity of a simplicial complex in

Alan Lew, Eran Nevo, Yuval Peled +1

We define a generic rigidity matroid for -volumes of a simplicial complex in , and prove that for it has the same rank as the classical generic…

math.CO2024

Exterior Shifting of Low Genus Surfaces

Aaron Keehn, Eran Nevo

We characterize the possible exterior shiftings of , where runs over all triangulation of the torus, or the projective plane, or the Klein bottle. Further, we give a determi…