Rainbow Threshold Graphs
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917985666465792 |
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| author | Ackerman, Nathanael Mirabi, Mostafa |
| author_facet | Ackerman, Nathanael Mirabi, Mostafa |
| contents | We define a generalization of threshold graphs which we call $k$-rainbow threshold graphs. We show that the collection of $k$-rainbow threshold graphs do not satisfy the $0$-$1$ law for first order logic and that asymptotically almost surely all $(k+1)$-rainbow threshold graphs are not isomorphic to a $k$-rainbow threshold graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09399 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rainbow Threshold Graphs Ackerman, Nathanael Mirabi, Mostafa Combinatorics 05C62, 03C13, 05C30 We define a generalization of threshold graphs which we call $k$-rainbow threshold graphs. We show that the collection of $k$-rainbow threshold graphs do not satisfy the $0$-$1$ law for first order logic and that asymptotically almost surely all $(k+1)$-rainbow threshold graphs are not isomorphic to a $k$-rainbow threshold graph. |
| title | Rainbow Threshold Graphs |
| topic | Combinatorics 05C62, 03C13, 05C30 |
| url | https://arxiv.org/abs/2504.09399 |