Asymptotics and Dynamics of Map Enumeration Problems

We solve certain three-term recurrence relations for generating functions of map enumeration problems. These are combinatorial maps, an embedding of a graph into a surface in a particular way. The generating functions enumerate the maps according to an appropriate notion of a distance or height in t...

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Bibliographic Details
Main Author: Brown, Tova
Other Authors: Ercolani, Nicholas M.
Language:en_US
Published: The University of Arizona. 2016
Subjects:
Online Access:http://hdl.handle.net/10150/621078
http://arizona.openrepository.com/arizona/handle/10150/621078