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The Mihail-Vazirani Conjecture

Combinatorics · posed by Milena Mihail, Umesh Vazirani · disproved

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Statement

Mihail and Vazirani conjectured that the graph of every 0/10/1-polytope has edge expansion at least one. Disproved by a family of 0/10/1-polytopes whose edge expansion decreases exponentially in the dimension.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. construction · #1

    GPT-5.6 Sol, with Xiongxin Yang

    The record says a model found this and names the people who worked on it. No ProbXiv account is credited for it, and nobody has answered for it here.

    AI involvement
    ai discovered
    — the result was found by a model.

    The AI use section states that the construction and its analysis were generated by GPT-5.6 Sol in a one-shot manner, from a prompt adapted from OpenAI's cycle double cover prompt by replacing the problem statement. The author verified the result independently.

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