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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.05406 |
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| _version_ | 1866913600577208320 |
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| author | Slinko, Arkadii |
| author_facet | Slinko, Arkadii |
| contents | The most studied class of Condorcet domains (acyclic sets of linear orders) is the class of peak-pit domains of maximal width. It has a number of combinatorial representations by such familiar combinatorial objects like rhombus tilings and arrangements of pseudolines. Arrow's single-peaked domains are peak-pit but do not have maximal width. We suggest how to represent them by means of generalised arrangements of pseudolines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05406 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A combinatorial representation of Arrow's single-peaked domains Slinko, Arkadii Combinatorics 91B14 The most studied class of Condorcet domains (acyclic sets of linear orders) is the class of peak-pit domains of maximal width. It has a number of combinatorial representations by such familiar combinatorial objects like rhombus tilings and arrangements of pseudolines. Arrow's single-peaked domains are peak-pit but do not have maximal width. We suggest how to represent them by means of generalised arrangements of pseudolines. |
| title | A combinatorial representation of Arrow's single-peaked domains |
| topic | Combinatorics 91B14 |
| url | https://arxiv.org/abs/2412.05406 |