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AI Solves Decades-Old Graph Theory Conjectures

By PulseAugur Editorial · [1 sources] ·

An undergraduate student utilized GPT-5.6 Sol Max to solve two long-standing open problems in graph theory: the Imbalance Conjecture and Teschner's Bondage-Number Conjecture. The student independently verified the AI-generated proofs and counterexamples, submitting them as preprints on arXiv and Figshare. These results, while not yet peer-reviewed, demonstrate AI's growing capability in advanced mathematical research. AI

IMPACT Demonstrates AI's increasing capability in solving complex theoretical problems, potentially accelerating research in mathematics and computer science.

RANK_REASON AI model used to solve open problems in theoretical computer science, presented as preprints. [lever_c_demoted from research: ic=1 ai=1.0]

Read on r/singularity →

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

AI Solves Decades-Old Graph Theory Conjectures

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AI model used to solve open problems in theoretical computer science, presented as preprints. [lever_c_demoted from research: ic=1 ai=1.0]
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68 days old
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COVERAGE [1]

  1. r/singularity TIER_2 English(EN) · /u/No-Performer-2242 ·

    Imbalance Conjecture proven and Teschner’s bondage-number conjecture disproven by AI

    <!-- SC_OFF --><div class="md"><p>Hi everyone, I'm a 4th year undergraduate student studying and doing research in theoretical CS. After seeing the recent advancements made by AI in mathematics, especially in graph theory, I bought a ChatGPT Pro subscription to see if AI could so…

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