Majority dynamics on finite trees
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916829815898112 |
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| author | Benjamini, Itai Zakharov, Georgii Zhukovskii, Maksim |
| author_facet | Benjamini, Itai Zakharov, Georgii Zhukovskii, Maksim |
| contents | For an arbitrary finite tree $T$, we find the exact value of the wort-case stabilisation time of majority dynamics on $T$. We also prove that for a perfect rooted cubic tree $T$ with diameter $D$ and uniformly random initial opinions, the dynamics stabilises in time $τ\in(D/4,D/3)$ with high probability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04714 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Majority dynamics on finite trees Benjamini, Itai Zakharov, Georgii Zhukovskii, Maksim Combinatorics Probability For an arbitrary finite tree $T$, we find the exact value of the wort-case stabilisation time of majority dynamics on $T$. We also prove that for a perfect rooted cubic tree $T$ with diameter $D$ and uniformly random initial opinions, the dynamics stabilises in time $τ\in(D/4,D/3)$ with high probability. |
| title | Majority dynamics on finite trees |
| topic | Combinatorics Probability |
| url | https://arxiv.org/abs/2507.04714 |