Inconsequential results on the Merino-Welsh conjecture for Tutte polynomials
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arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866929720520605696 |
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| author | Kung, Joseph P. S. |
| author_facet | Kung, Joseph P. S. |
| contents | The Merino-Welsh conjectures say that subject to conditions, there is an inequality among the Tutte-polynomial evaluations $T(M;2,0)$, $T(M;0,2)$, and $T(M;1,1)$. We present three results on a Merino-Welsh conjecture. These results are "inconsequential" in the sense that although they imply a version of the conjecture for many matroids, they seem to be dead ends. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_01825 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Inconsequential results on the Merino-Welsh conjecture for Tutte polynomials Kung, Joseph P. S. Combinatorics 05B35 The Merino-Welsh conjectures say that subject to conditions, there is an inequality among the Tutte-polynomial evaluations $T(M;2,0)$, $T(M;0,2)$, and $T(M;1,1)$. We present three results on a Merino-Welsh conjecture. These results are "inconsequential" in the sense that although they imply a version of the conjecture for many matroids, they seem to be dead ends. |
| title | Inconsequential results on the Merino-Welsh conjecture for Tutte polynomials |
| topic | Combinatorics 05B35 |
| url | https://arxiv.org/abs/2105.01825 |