Name
Abstract | ||
|---|---|---|
Regular embeddings of cycles with multiple edges have been reappearing in the literature for quite some time, both in and outside topological graph theory. The present paper aims to draw a complete picture of these maps by providing a detailed description, classification, and enumeration of regular embeddings of cycles with multiple edges on both orientable and non-orientable surfaces. Most of the results have been known in one form or another, but here they are presented from a unique viewpoint based on finite group theory. Our approach brings additional information about both the maps and their automorphism groups, and also gives extra insight into their relationships. |
Year | Venue | Keywords |
|---|---|---|
2015 | ARS MATHEMATICA CONTEMPORANEA | Regular embedding,multiple edge,Holder's Theorem,Mobius map |
Field | DocType | Volume |
Discrete mathematics,Topology,Combinatorics,Hölder's theorem,Automorphism,Enumeration,Multiple edges,Finite group,Topological graph theory,Mathematics | Journal | 8 |
Issue | ISSN | Citations |
1 | 1855-3966 | 1 |
PageRank | References | Authors |
0.40 | 8 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kan Hu | 1 | 79 | 12.70 |
| Roman Nedela | 2 | 392 | 47.78 |
| Martin Škoviera | 3 | 427 | 54.90 |
| Na-Er Wang | 4 | 3 | 2.16 |