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The following recent series of arXiv papers claims to prove several of the most famous graph labelling conjectures. Edinah Gnang is the common author, none of the papers seem to be published further, and all are based on variants of Gnang's so-called composition lemma. Has anyone verified the correctness of these results, or found an error?

A Proof of the Tree Packing Conjecture, https://arxiv.org/abs/2410.13840

All trees on $n$ edges decompose $K_{n,n}$, https://arxiv.org/abs/2409.01981

A proof of the Kotzig-Ringel-Rosa Conjecture, https://arxiv.org/abs/2202.03178

A proof of the Graham Sloane conjecture, https://arxiv.org/abs/2201.02240

On graceful labelings of trees, https://arxiv.org/abs/1811.07614

On The Composition Lemma, https://arxiv.org/abs/2111.12812

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    $\begingroup$ I've voted to close, and I chose from the list of reasons that this is a request to check the correctness of a preprint. Since the common author of these papers is (I think!) an untenured assistant professor, I believe it is particularly important to not have a critical discussion in a forum like this. $\endgroup$ Commented Nov 14 at 22:39
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    $\begingroup$ (by "forum like this", I mean one that allows anyone to contribute including anonymous people) $\endgroup$ Commented Nov 14 at 22:41
  • $\begingroup$ Fair enough. I welcome non-anonymous answers to my question by email. $\endgroup$
    – David Wood
    Commented Nov 14 at 22:55
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    $\begingroup$ cstheory.stackexchange has a related question: cstheory.stackexchange.com/questions/54427/… $\endgroup$ Commented Nov 15 at 3:29

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