| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5776796 | Discrete Mathematics | 2017 | 7 Pages |
Abstract
We prove that infinite regular and chiral maps can only exist on surfaces with one end. Moreover, we prove that an infinite regular or chiral map on an orientable surface with positive genus, can only be realized on the Loch Ness monster, that is, the topological surface of infinite genus with one end.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
John A. Arredondo, Camilo RamÃrez Maluendas, Ferrán Valdez,