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math.CO2011
Duality index of oriented regular hypermaps
Daniel Pinto
By adapting the notion of chirality group, the duality group of can be defined as the the minimal subgroup such that ${\cal H}/…
math.CO2011
Duality on hypermaps with symmetric or alternating monodromy group
Daniel Pinto
Duality is the operation that interchanges hypervertices and hyperfaces on oriented hypermaps. The duality index measures how far a hypermap is from being self-dual. We say that an…
math.CO2009
Hypermap operations of finite order
Gareth A. Jones, Daniel Pinto
Duality and chirality are examples of operations of order 2 on hypermaps. James showed that the groups of all operations on hypermaps and on oriented hypermaps can be identified wi…