In the supercritical random graph on points on the line, the largest reconstructible subset is asymptotically the full size of the giant 2-core component.
Portier,Reconstructing a Giant Component of a Point Set inR, arXiv preprint, arXiv:2602.23122, (2026)
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Sharp threshold for reconstructing points on the line
In the supercritical random graph on points on the line, the largest reconstructible subset is asymptotically the full size of the giant 2-core component.