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Written on the Wall II, Conjecture 284

Combinatorics · posed by Written on the Wall II (automated conjecturing) · disproved

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Statement

WOW-284 asserts that the minimum dual degree of every connected graph of order at least three and girth at least five is at most the negative of its least distance eigenvalue. The paper refutes it with exact counterexamples of orders 38, 39, 40, 42 and 50, and develops a structural theory of the failure.

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

  1. construction · #1

    Samuil Petkov, using ChatGPT-5.6 Sol Pro

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

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