60 citations · 145 across the 38 of their papers we have counts for
4 papers · 1 filter
Regular embeddings of complete bipartite graphs: classification and enumeration
Gareth A. Jones
The regular embeddings of complete bipartite graphs in orientable surfaces are classified and enumerated, and their automorphism groups and combinatorial properties are d…
Maps admitting trialities but not dualities
Gareth A. Jones, Andrew Poulton
We use group theory to construct infinite families of maps on surfaces which are invariant under Wilson's map operations of order 3 but not under the operations of order 2, such as…
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…
Beauville surfaces and finite groups
Yolanda Fuertes, Gareth Jones
Extending results of Bauer, Catanese and Grunewald, and of Fuertes and González-Diez, we show that Beauville surfaces of unmixed type can be obtained from the groups L_2(q) and SL_…