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Counting unicellular maps on non-orientable surfaces

✍ Scribed by Olivier Bernardi; Guillaume Chapuy


Book ID
108047172
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
382 KB
Volume
47
Category
Article
ISSN
0196-8858

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πŸ“œ SIMILAR VOLUMES


Theory of Maps on Orientable Surfaces
✍ Jones, G. A.; Singerman, D. πŸ“‚ Article πŸ“… 1978 πŸ› Oxford University Press 🌐 English βš– 858 KB
Matchings in Graphs on Non-orientable Su
✍ Glenn Tesler πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 345 KB

We generalize Kasteleyn's method of enumerating the perfect matchings in a planar graph to graphs embedding on an arbitrary compact boundaryless 2-manifold S. Kasteleyn stated that perfect matchings in a graph embedding on a surface of genus g could be enumerated as a linear combination of 4 g Pfaff