Proof of a conjecture of Fomichev and Karev
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914126821851136 |
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| author | Yan, Qi Deng, Qingying Jin, Xian'an |
| author_facet | Yan, Qi Deng, Qingying Jin, Xian'an |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_27279 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proof of a conjecture of Fomichev and Karev Yan, Qi Deng, Qingying Jin, Xian'an Combinatorics 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. |
| title | Proof of a conjecture of Fomichev and Karev |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2510.27279 |