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Non-orientable surfaces in 3-manifolds

✍ Scribed by Werner End


Publisher
Springer
Year
1992
Tongue
English
Weight
797 KB
Volume
59
Category
Article
ISSN
0003-889X

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Matchings in Graphs on Non-orientable Su
✍ Glenn Tesler 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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