Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777390 | European Journal of Combinatorics | 2017 | 19 Pages |
Abstract
A cellular rotation is a pseudofree cellular automorphism, with no non-fixed pseudofixed points, of a graph embedded in an orientable surface. A family of cellular rotations is a collection of cellular rotations having one embedding of each genus above some fixed minimum genus, all sharing the same quotient embedding and, in an appropriate sense, the same voltage-assignment data. We provide a complete catalog of all families of cellular rotations having at least one fixed point, and provide preliminary results regarding families of cellular rotations having no fixed points.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Lowell Abrams,