Name
Abstract | ||
|---|---|---|
We use the conceptual idea of ''maps on orbifolds'' and the theory of the non-Euclidean crystallographic groups (NEC groups) to enumerate rooted and unrooted maps (both sensed and unsensed) on surfaces regardless of genus. As a consequence we deduce a formula for the number of chiral pairs of maps. The enumeration principle used in this paper is due to Mednykh (2006) [15], it counts the number of conjugacy classes of subgroups in NEC groups which are in one-to-one correspondence with unrooted (sensed or unsensed) maps. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.disc.2009.11.017 | Discrete Mathematics |
Keywords | Field | DocType |
sensed or unsensed map,reflexible maps,maps on orbifolds,chiral twins of maps,rooted map,maps on bordered surfaces,chiral pairs of maps,maps on closed surfaces,conjugacy class | Discrete mathematics,Combinatorics,Enumeration,Conjugacy class,Mathematics | Journal |
Volume | Issue | ISSN |
310 | 6-7 | Discrete Mathematics |
Citations | PageRank | References |
4 | 0.57 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Antonio Breda d'Azevedo | 1 | 19 | 5.47 |
| Alexander Mednykh | 2 | 38 | 7.03 |
| Roman Nedela | 3 | 392 | 47.78 |