Preprint in the OpenAI Math release
A Polynomial-Time 2-Approximation for Shortest Common Superstring
OpenAI
Abstract
We give a deterministic algorithm that, for every finite family of explicitly represented ordinary strings, outputs a common superstring of length at most twice the optimum in time polynomial in the total encoded input size, including symbol labels. The guarantee applies to the algorithm constructed here, not the classical maximum-overlap Greedy procedure.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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