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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.08534 |
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| _version_ | 1866913249178419200 |
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| author | Bell, Tolson Frieze, Alan |
| author_facet | Bell, Tolson Frieze, Alan |
| contents | We show that the threshold for having a rainbow copy of a power of a Hamilton cycle in a randomly edge colored copy of $G_{n,p}$ is within a constant factor of the uncolored threshold. Our proof requires $(1+\varepsilon)$ times the minimum number of colors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_08534 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Rainbow powers of a Hamilton cycle in G(n,p) Bell, Tolson Frieze, Alan Combinatorics 05C35 We show that the threshold for having a rainbow copy of a power of a Hamilton cycle in a randomly edge colored copy of $G_{n,p}$ is within a constant factor of the uncolored threshold. Our proof requires $(1+\varepsilon)$ times the minimum number of colors. |
| title | Rainbow powers of a Hamilton cycle in G(n,p) |
| topic | Combinatorics 05C35 |
| url | https://arxiv.org/abs/2210.08534 |