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Uniform Infinite Planar Triangulations

✍ Scribed by Omer Angel; Oded Schramm

Book ID
105902002
Publisher
Springer
Year
2003
Tongue
English
Weight
259 KB
Volume
241
Category
Article
ISSN
0010-3616

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πŸ“œ SIMILAR VOLUMES

Counting 5-connected planar triangulatio
Counting 5-connected planar triangulations
✍ Zhicheng J. Gao; Ian M. Wanless; Nicholas C. Wormald πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 203 KB

## Abstract Let __t~n~__ be the number of rooted 5‐connected planar triangulations with 2__n__ faces. We find __t~n~__ exactly for small __n__, as well as an asymptotic formula for __n__β€‰β†’β€‰βˆž. Our results are found by compositions of lower connectivity maps whose faces are triangles or quadrangles.