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Artificial intelligence and machine learning generated conjectures with TxGraffiti

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arxiv 2407.02731 v1 pith:KKOROFHT submitted 2024-07-03 cs.AI math.CO

classification cs.AImath.CO
keywords txgraffiticonjectureslearningmachineartificialgeneratedheuristicintelligence
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\emph{TxGraffiti} is a machine learning and heuristic based artificial intelligence designed to automate the task of conjecturing in mathematics. Since its inception, TxGraffiti has generated many surprising conjectures leading to publication in respectable mathematical journals. In this paper we outline the machine learning and heuristic techniques implemented by TxGraffiti. We also recall its contributions to the mathematical literature and announce a new online version of the program available for anyone curious to explore conjectures in graph theory.

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  1. Reinforcement learning for graph theory, Parallelizing Wagner's approach

    math.CO 2025-09 conditional novelty 4.0 of 10

    A parallelized RL search over graphs produces three new counterexamples to conjectured Laplacian spectral radius bounds, alongside a speedup claim that is only weakly supported.

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