Yufei Zhao

activity

20092023

most citedAn

L^{p}

theory of sparse graph convergence I: limits, sparse random graph models, and power law distributions

114 citations · 1k across the 63 of their papers we have counts for

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4 papers · 1 filter

math.MG2021★ 1 cited

Exploring a planet, revisited

Yufei Zhao

How should we place $n$ great circles on a sphere to minimize the furthest distance between a point on the sphere and its nearest great circle? Fejes Tóth conjectured that the opti…

math.MG2021

The cylindrical width of transitive sets

Ashwin Sah, Mehtaab Sawhney, Yufei Zhao

We show that for every $1 \leq k \leq d / (lo g d)^{C}$ , every finite transitive set of unit vectors in $R^{d}$ lies within distance $O (1/ lo g (d / k))$ of some codimension $…

math.MG2019★ 3 cited

Exponential improvements for superball packing upper bounds

Ashwin Sah, Mehtaab Sawhney, David Stoner +1

We prove that for all fixed $p > 2$ , the translative packing density of unit $ℓ_{p}$ -balls in $R^{n}$ is at most $2^{(γ_{p} + o (1)) n}$ with $γ_{p} < - 1/ p$ . This is the first e…

math.MG2012★ 46 cited

Sphere packing bounds via spherical codes

Henry Cohn, Yufei Zhao

The sphere packing problem asks for the greatest density of a packing of congruent balls in Euclidean space. The current best upper bound in all sufficiently high dimensions is due…