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arXiv · 2510.27279

Proof of a conjecture of Fomichev and Karev

Qi Yan·Qingying Deng·Xian'an Jin
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Abstract

We prove a conjecture of Fomichev and Karev [{European J. Combin.} 127 (2025) 104160] by showing the equality of two graph invariants: $φ$, defined via graph colorings, and $ψ$, derived from the $\mathfrak{sl}(2)$-weight system of its 2-dimensional irreducible representation.

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Qi Yan, Qingying Deng, Xian'an Jin. 2025-10-31. Proof of a conjecture of Fomichev and Karev. https://arxiv.org/abs/2510.27279

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