| dc.creator | Montenegro, Eduardo | |
| dc.creator | Cabrera, Eduardo | |
| dc.creator | González, José | |
| dc.creator | Nettle, Alejandro | |
| dc.creator | Robres, Ramón | |
| dc.date | 2011-01-06 | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/31-39 | |
| dc.identifier | 10.4067/S0716-09172010000100004 | |
| dc.description | The graph to considered will be in general simple and finite, graphs with a nonempty set of edges. For a graph G, V(G) denote the set of vertices and E(G) denote the set of edges. Now, let Pr = (0, 0, 0, r) ∈ R4, r ∈ R+ . The r-polar sphere, denoted by SPr , is defined by {x ∈ R4/ ||x|| = 1 ∧ x ≠ Pr }: The primary target of this work is to present the concept of r-Polar Spherical Realization of a graph. That idea is the following one: If G is a graph and h : V (G) → SPr is a injective function, them the r-Polar Spherical Realization of G, denoted by G*, it is a pair (V (G*), E(G*)) so that V (G*) = {h(v)/v ∈ V (G)} and E(G*) = {arc(h(u)h(v))/uv ∈ E(G)}, in where arc(h(u)h(v)) it is the arc of curve contained in the intersection of the plane defined by the points h(u), h(v), Pr and the r-polar sphere. | es-ES |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/31-39/pdf | |
| dc.rights | Copyright (c) 2010 Proyecciones. Journal of Mathematics | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 29 No. 1 (2010); 31-39 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 29 Núm. 1 (2010); 31-39 | es-ES |
| dc.source | 0717-6279 | |
| dc.subject | Graph | es-ES |
| dc.subject | sphere | es-ES |
| dc.subject | grafos | es-ES |
| dc.subject | esferas. | es-ES |
| dc.title | Graphs r-polar spherical realization. | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
