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| Format: | Preprint |
| Publié: |
2020
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2006.15215 |
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| _version_ | 1866909071586623488 |
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| author | Spier, Thomás Jung |
| author_facet | Spier, Thomás Jung |
| contents | In this work, we prove a refinement of the Gallai-Edmonds structure theorem for weighted matching polynomials by Ku and Wong. Our proof uses a connection between matching polynomials and branched continued fractions. We also show how this is related to a modification by Sylvester of the classical Sturm's theorem on the number of zeros of a real polynomial in an interval. In addition, we obtain some other results about zeros of matching polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_15215 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A refined Gallai-Edmonds structure theorem for weighted matching polynomials Spier, Thomás Jung Combinatorics In this work, we prove a refinement of the Gallai-Edmonds structure theorem for weighted matching polynomials by Ku and Wong. Our proof uses a connection between matching polynomials and branched continued fractions. We also show how this is related to a modification by Sylvester of the classical Sturm's theorem on the number of zeros of a real polynomial in an interval. In addition, we obtain some other results about zeros of matching polynomials. |
| title | A refined Gallai-Edmonds structure theorem for weighted matching polynomials |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2006.15215 |