Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, June 26, 2014, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Manuel Wettstein

A Census of Planar Triangulations by W. T. Tutte

The title of this talk is borrowed from a classic paper by Tutte [1], in which he considers plane triangulations with a fixed triangular outer face and n additional interior nodes. The number of non-isomorphic such triangulations is shown to be roughly n^(-5/2) * 9.481^n. The analysis involves solving an intricate recurrence with the help of generating functions. We will discuss the first and most important steps of the proof in detail, but will gloss over some technical derivations at the end.

[1] W. T. Tutte, A Census of planar triangulations, Canadian Journal of Mathematics 14 (1962), 21-38.

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