Genus one partitions

We obtain a tight upper bound for the genus of a partition, and calculate the number of partitions of maximal genus. The generating series for genus zero and genus one rooted hypermonopoles is obtained in closed form by specializing the genus series for hypermaps. We discuss the connection bet...

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Bibliographic Details
Main Author: Yip, Martha
Format: Others
Language:en
Published: University of Waterloo 2007
Subjects:
Online Access:http://hdl.handle.net/10012/2933