24 citations · 96 across the 31 of their papers we have counts for
4 papers · 1 filter
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…
Vector Balancing via Directional Total Variation
Shengtao Guo, Ethan X. Fang, Junwei Lu
Our main result is a bound for the Komlós signing problem: every finite family of real vectors of Euclidean norm at most one admits a signed sum of -norm…
On Unavoidable Faces of High-Dimensional Polytopes
Jesús A. De Loera, Ethan X. Fang, Shengtao Guo +2
Kalai's cube--simplex conjecture asserts that for all positive integers , there is an integer such that every polytope of dimension at least has eit…
Sharp Bounds on the Independence Number of Simplicial Spheres
Jesús A. De Loera, Ethan X. Fang, Junwei Lu +2
We study the maximum size of an independent set in the graph of a simplicial sphere. Let denote this maximum over all simplicial -spheres on vertices, and let $…