Additive Spanner Lower Bounds with Optimal Inner Graph Structure

G Bodwin, G Hoppenworth, VV Williams… - arxiv preprint arxiv …, 2024 - arxiv.org
We construct $ n $-node graphs on which any $ O (n) $-size spanner has additive error at
least $+\Omega (n^{3/17}) $, improving on the previous best lower bound of $\Omega …

Lightweight Near-Additive Spanners

Y Gitlitz, O Neiman, R Spence - International Workshop on Graph …, 2024 - Springer
Abstract An (α, β)-spanner of a weighted graph G=(V, E), is a subgraph H such that for every
u, v∈ V, d G (u, v)≤ d H (u, v)≤ α· d G (u, v)+ β. The main parameters of interest for …