On Negami's planar cover conjecture
| dc.creator | Rieck, Yo'av | |
| dc.creator | Yamashita, Yasushi | |
| dc.date | 2006-12-13 | |
| dc.date.accessioned | 2026-07-07T06:43:12Z | |
| dc.date.available | 2026-07-07T06:43:12Z | |
| dc.description | Given a finite cover f:tilde{G} \to G and an embedding of tilde{G} in the plane, Negami conjectures that G embeds in P^2. Negami proved this conjecture for regular covers. In this paper we define two properties (Propserties V and E), depending on the cover tilde{G} and its embedding into S^2, and generalize Negami's result by showing: (1) If Properties V and E are fulfilled then G embeds in P^2. (2) Regular covers always fulfill Properties V and E. We give an example of an irregular cover fulfilling Properties V and E. Covers not fulfilling Properties V and E are discussed as well. | |
| dc.description | 20 pages, 13 figures | |
| dc.identifier | https://arxiv.org/abs/math/0612342 | |
| dc.identifier | http://arxiv.org/abs/math/0612342 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102324 | |
| dc.subject | Combinatorics | |
| dc.subject | Geometric Topology | |
| dc.subject | 05C10 | |
| dc.title | On Negami's planar cover conjecture | |
| dc.type | text |