Local structures in polyhedral maps on surfaces, and path transferability of graphs
| dc.creator | Torii, Ryuzo | |
| dc.date | 2009-04-26 | |
| dc.date.accessioned | 2026-07-07T13:08:51Z | |
| dc.date.available | 2026-07-07T13:08:51Z | |
| dc.description | We extend Jendrol' and Skupień's results about the local structure of maps on the 2-sphere: In this paper we show that if a polyhedral map $G$ on a surface $\M$ of Euler characteristic $χ(\M) \le 0$ has more than $126|χ(\M)|$ vertices, then $G$ has a vertex with "nearly" non-negative combinatorial curvature. As a corollary of this, we can deduce that path transferability of such graphs are at most 12. | |
| dc.description | 1 table, and 3 figures | |
| dc.identifier | https://arxiv.org/abs/0904.4012 | |
| dc.identifier | http://arxiv.org/abs/0904.4012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228552 | |
| dc.subject | Combinatorics | |
| dc.subject | Geometric Topology | |
| dc.subject | 05C10 | |
| dc.title | Local structures in polyhedral maps on surfaces, and path transferability of graphs | |
| dc.type | text |