Exponential Time Hypothesis refuted: subexponential 3-SAT, but graph alignment stays hard

JFPuget · x · 2026-11-07

Marc Lelarge shares new results: with the Exponential Time Hypothesis refuted, 3-SAT gets a subexponential algorithm, yet the harder graph alignment problem (GAP) remains hard. His team proposes a chain of GNNs to solve GAP, releasing code and models. The thread also clarifies graph isomorphism is neither known to be in P nor NP-complete; the attached figure formalizes GAP as Frobenius-norm minimization reducible to Hamiltonian path, minimum bisection, and maximum common subgraph.

Related event: 3-SAT Gets Subexponential Algorithm After ETH Refuted; Graph Alignment Stays Hard(2 posts)→

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