The combinatorics of the Jack parameter and the genus series for topological maps

Informally, a rooted map is a topologically pointed embedding of a graph in a surface. This thesis examines two problems in the enumerative theory of rooted maps. The b-Conjecture, due to Goulden and Jackson, predicts that structural similarities between the generating series for rooted orientable...

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Bibliographic Details
Main Author: La Croix, Michael Andrew
Language:en
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/10012/4561