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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.20274 |
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| _version_ | 1866908556831227904 |
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| author | Biró, Csaba Boone, Caroline E. |
| author_facet | Biró, Csaba Boone, Caroline E. |
| contents | We study semiorders induced by points drawn from a uniform random distribution. Of particular interest in this paper are the probabilities of generating specific semiorders and the equivalence classes they produce. We present a method for calculating the asymptotic probability of inducing these semiorders and describe the qualities which group these semiorders together. We also find a class of semiorders, called \emph{ladders}, whose probabilities can be calculated using the Up/Down numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20274 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semiorders induced by uniform random points Biró, Csaba Boone, Caroline E. Combinatorics We study semiorders induced by points drawn from a uniform random distribution. Of particular interest in this paper are the probabilities of generating specific semiorders and the equivalence classes they produce. We present a method for calculating the asymptotic probability of inducing these semiorders and describe the qualities which group these semiorders together. We also find a class of semiorders, called \emph{ladders}, whose probabilities can be calculated using the Up/Down numbers. |
| title | Semiorders induced by uniform random points |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2509.20274 |