Article ID Journal Published Year Pages File Type
4652855 Electronic Notes in Discrete Mathematics 2007 9 Pages PDF
Abstract

The problem of classifying orientable vertex-transitive maps on a surface with genus two is considered. We construct and classify all simple orientable vertex-transitive maps, with face width at least 3 which can be viewed as generalisations of classical Archimedean solids. The proof is computer-aided. The developed method applies to higher genera as well.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics