Name
Abstract | ||
|---|---|---|
This paper concerns pinched surfaces, also known as pseudosurfaces. A map is a graph G embedded on an oriented pinched surface. An arc of a map is an edge of G with a fixed direction. A regular map is one with a group of orientation-preserving automorphisms that acts regularly on the arcs of a map, i.e., that acts both freely and transitively. We study regular maps on pinched surfaces. We give a relation between a regular map on a pinched surface and a natural corresponding regular map on a surface with the pinch points pulled apart. We give several constructions for regular pinched maps and present a plethora of examples. These include strongly connected maps on pinched surfaces (those that do not have a finite set of disconnecting points), as well as examples formed by gluing other regular maps along a finite set of points. |
Year | Venue | Field |
|---|---|---|
2014 | AUSTRALASIAN JOURNAL OF COMBINATORICS | Graph,Combinatorics,Finite set,Pinch,Automorphism,Regular map,Strongly connected component,Mathematics |
DocType | Volume | ISSN |
Journal | 58 | 2202-3518 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dan Archdeacon | 1 | 277 | 50.72 |
| C. Paul Bonnington | 2 | 100 | 19.95 |
| Jozef Sirán | 3 | 125 | 20.37 |