Better bounds for poset dimension and boxicity
The dimension of a poset $ P$ is the minimum number of total orders whose intersection is $ P$. We prove that the dimension of every poset whose comparability graph has maximum degree $ \Delta $ is at most $ \Delta \log ^{1+o(1)} \Delta $. This result improves on a 30-year old bound of Füredi and Ka...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
American Mathematical Society
2019
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