2 papers
cs.DS2026
Improved Certificates for Independence Number in Semirandom Hypergraphs
Pravesh Kothari, Anand Louis, Rameesh Paul +1
We study the problem of efficiently certifying upper bounds on independence number of -uniform hypergraphs in semirandom models. This is a notoriously hard problem, with effi…
cs.DS2024
Certifying Euclidean Sections and Finding Planted Sparse Vectors Beyond the Dimension Threshold
Venkatesan Guruswami, Jun-Ting Hsieh, Prasad Raghavendra
We consider the task of certifying that a random -dimensional subspace in is well-spread - every vector satisfies $c\sqrt{n} \|x\|_2 \leq \|x\|_1 \l…