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...
Main Author: | |
---|---|
Format: | Others |
Language: | en |
Published: |
University of Waterloo
2007
|
Subjects: | |
Online Access: | http://hdl.handle.net/10012/2933 |