Name
Abstract | ||
|---|---|---|
Hurwitz's theorem states that the order of any finite group acting on a surface of genus γ > 1 is bounded by 168(γ − 1). It can be refined to give useful information about groups whose order is near this bound. In this paper, similar results are obtained for Cayley graphs imbedded in a surface of genus γ. These results have important implications for the classification of Cayley graphs of low genus and the number of Cayley graphs of a given genus. |
Year | DOI | Venue |
|---|---|---|
1984 | 10.1016/0095-8956(84)90031-5 | Journal of Combinatorial Theory, Series B |
Keywords | Field | DocType |
cayley graph | Graph theory,Discrete mathematics,Combinatorics,Vertex-transitive graph,Cayley table,Cayley graph,Cayley transform,Cayley's theorem,Genus (mathematics),Finite group,Mathematics | Journal |
Volume | Issue | ISSN |
36 | 3 | 0095-8956 |
Citations | PageRank | References |
4 | 1.02 | 5 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thomas W. Tucker | 1 | 191 | 130.07 |