Generic rectangulations
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2011
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| _version_ | 1866910212390125568 |
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| author | Reading, Nathan |
| author_facet | Reading, Nathan |
| contents | A rectangulation is a tiling of a rectangle by a finite number of rectangles. The rectangulation is called generic if no four of its rectangles share a single corner. We initiate the enumeration of generic rectangulations up to combinatorial equivalence by establishing an explicit bijection between generic rectangulations and a set of permutations defined by a pattern-avoidance condition analogous to the definition of the twisted Baxter permutations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1105_3093 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | Generic rectangulations Reading, Nathan Combinatorics Discrete Mathematics 05A05, 05A19, 05B45 A rectangulation is a tiling of a rectangle by a finite number of rectangles. The rectangulation is called generic if no four of its rectangles share a single corner. We initiate the enumeration of generic rectangulations up to combinatorial equivalence by establishing an explicit bijection between generic rectangulations and a set of permutations defined by a pattern-avoidance condition analogous to the definition of the twisted Baxter permutations. |
| title | Generic rectangulations |
| topic | Combinatorics Discrete Mathematics 05A05, 05A19, 05B45 |
| url | https://arxiv.org/abs/1105.3093 |