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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2111.00089 |
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| _version_ | 1866910694388006912 |
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| author | Biro, Csaba Wan, Sida |
| author_facet | Biro, Csaba Wan, Sida |
| contents | In general, representations of interval orders may use an arbitrary set of interval lengths. We can define subclasses of interval orders by restricting the allowable lengths of intervals. Motivated by a recent paper of Keller, Trenk, and Young, we study the dimension of posets in some of these subclasses. Among other results, we answer several of their questions, and we simplify the proof of one of their main results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_00089 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Dimension bounds on classes of interval orders with restricted representation Biro, Csaba Wan, Sida Combinatorics In general, representations of interval orders may use an arbitrary set of interval lengths. We can define subclasses of interval orders by restricting the allowable lengths of intervals. Motivated by a recent paper of Keller, Trenk, and Young, we study the dimension of posets in some of these subclasses. Among other results, we answer several of their questions, and we simplify the proof of one of their main results. |
| title | Dimension bounds on classes of interval orders with restricted representation |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2111.00089 |