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Circle packings of maps —The Euclidean case

✍ Scribed by Mohar, Bojan

Publisher
Springer-Verlag
Year
1997
Weight
660 KB
Volume
67
Category
Article
ISSN
0370-7377

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📜 SIMILAR VOLUMES

Circle Packings of Maps in Polynomial Ti
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✍ Bojan Mohar 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 275 KB

The Andreev-Koebe-Thurston circle packing theorem is generalized and improved in two ways. First, we obtain simultaneous circle packings of the map and its dual map so that, in the corresponding straight-line representations of the map and the dual, any two edges dual to each other are perpendicular

Kneading plane of the circle map
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The kneading plane spanned by the pair of kneading sequences for maps of a circle to itself is the parameter space directly reflecting the dynamics. The structure of the kneading plane is analysed, a method for construction of the kneading plane proposed, and the constructed kneading plane shown.