7 papers
Analytic Spread via Linear Matroids
Stephen Landsittel, Eran Nevo
We give a systematic analysis of the analytic spread of the determinantal ideal arising from a pair of graphs . We give sharp bounds for this analytic spread, and…
On colorings of hypergraphs embeddable in
Seunghun Lee, Eran Nevo
The (weak) chromatic number of a hypergraph , denoted by , is the smallest number of colors required to color the vertices of so that no hyperedge of is monochrom…
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…
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 cyc…
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…
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…