A bijective census of nonseparable planar maps
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Publication:1268599
DOI10.1006/jcta.1997.2852zbMath0916.05037OpenAlexW1981761788WikidataQ114234209 ScholiaQ114234209MaRDI QIDQ1268599
Gilles Schaeffer, Benjamin Jacquard
Publication date: 19 July 1999
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/5db54fc23975cd4f352b02bc6814ac7c152c27a1
Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10)
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Cites Work
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- A proof of Julian West's conjecture that the number of two-stack-sortable permutations of length \(n\) is \(2(3n)\)!/(\((n+1)\)!\((2n+1)\)!)
- Bijective census and random generation of Eulerian planar maps with prescribed vertex degrees
- A combinatorial proof of J. West's conjecture
- Raney paths and a combinatorial relationship between rooted nonseparable planar maps and two-stack-sortable permutations
- A Census of Planar Maps
- Enumeration of Non-Separable Planar Maps
- On the Enumeration of Rooted Non-Separable Planar Maps