| EPIT 2016 | 
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To learn more about map enumeration using generating function, see: Guillaume Chapuy's lectures notes
The second lecture is based on Section 1.2 of the draft version of a book chapter on the enumeration of maps, part of a Handbook of Enumerative Combinatorics that you should have your library buy.
To learn more about alpha-orientations, you can start by taking a look at the slides of Marie Albenque for her lectures at ALEA 2014.