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math.OC2026
The Certification Limits of KS-Type Layer Relaxations: A Square-Root Ceiling and Its Breakdown
Guillaume Lecomte
A separable bilinear layer relaxation assigns a population cost to each layer and a nonpositive bilinear coupling to each pair of layers, then excludes a profile span whenever the…
math.OC2026
A certified refinement and asymptotic analysis of the Kuznetsov-Sahinidis diameter bound for Lennard-Jones clusters
Guillaume Lecomte
Kuznetsov and Sahinidis (J. Glob. Optim., 2025) prove distance bounds that confine optimal Lennard-Jones clusters and shrink the search region of deterministic solvers; their diame…