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AI agent makes progress on Conway's 99-graph problem

By PulseAugur Editorial · [1 sources] ·

A new research paper details an autonomous AI agent's systematic attack on Conway's 99-graph problem, which questions the existence of a specific strongly regular graph. The AI agent provided verifiable contributions, including a proof that no circulant graph on Z/99 meets all constraints and a reduction of the problem to a smaller graph problem. The agent also developed a framework for checking automorphism orbit existence and achieved a verified artifact at 69.43% completion, suggesting this is a robust frontier for the problem. AI

IMPACT Demonstrates advanced AI capabilities in tackling complex mathematical and graph theory problems.

RANK_REASON The cluster contains a research paper detailing a novel approach to a mathematical problem using an AI agent. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

AI agent makes progress on Conway's 99-graph problem

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The cluster contains a research paper detailing a novel approach to a mathematical problem using an AI agent. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Aalok Thakkar ·

    A Forced-Structure Reduction and Verifiable Bounds for Conway's 99-Graph

    arXiv:2608.11211v1 Announce Type: new Abstract: Conway's 99-graph problem asks whether a strongly regular graph with parameters $\mathrm{srg}(99,14,1,2)$ exists. We report a systematic, fully reproducible attack by an autonomous AI research agent, scored under the track's partial…

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