Bipartite-uniform hypermaps on the sphere.
On double coverings of some rotary hypermaps.
The reflexible hypermaps of characteristic
Chiral hypermaps of small genus.
Chiral hypermaps with few hyperfaces
Platonic hypermaps.
Rotary hypermaps of genus 2.
Double coverings and reflexive abelian hypermaps.
On chirality groups and regular coverings of regular oriented hypermaps
We prove that if the Walsh bipartite map of a regular oriented hypermap is also orientably regular then both and have the same chirality group, the covering core of (the smallest regular map covering ) is the Walsh bipartite map of the covering core of and the closure cover of (the greatest regular map covered by ) is the Walsh bipartite map of the closure cover of . We apply these results to the family of toroidal chiral hypermaps induced by the family of toroidal bipartite maps...
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