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Morning Edition · Friday, August 14, 2026Published at 2:27 AM EDT · New York
An Autonomous Research Agent Produced Checkable Bounds on a 50-Year-Old Graph Problem
The agent proved no circulant graph on the integers modulo 99 satisfies more than 68.0% of the constraints, and reduced the existence question to a 12-regular graph on 84 vertices.
Conway's 99-graph problem asks whether a strongly regular graph with parameters (99, 14, 1, 2) exists. It has been open since John Conway posed it, and he attached a prize to it. A preprint posted this week reports a systematic attempt to s…
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