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http://hdl.handle.net/10553/54916
| Título: | Hamiltonian triangular refinements and space-filling curves | Autores/as: | Márquez, Alberto Plaza, Angel Suarez, Jose P. |
Clasificación UNESCO: | 120601 Construcción de algoritmos 1206 Análisis numérico |
Palabras clave: | Hamiltonian triangulations Space-filling curve Mesh refinement Longest edge |
Fecha de publicación: | 2019 | Publicación seriada: | Journal of Computational and Applied Mathematics | Resumen: | We have introduced here the concept of Hamiltonian triangular refinement. For any Hamiltonian triangulation it is shown that there is a refinement which is also a Hamiltonian triangulation and the corresponding Hamiltonian path preserves the nesting condition of the corresponding space-filling curve. We have proved that the number of such Hamiltonian triangular refinements is bounded from below and from above. The relation between Hamiltonian triangular refinements and space-filling curves is also explored and explained. | URI: | http://hdl.handle.net/10553/54916 | ISSN: | 0377-0427 | DOI: | 10.1016/j.cam.2018.06.029 | Fuente: | Journal Of Computational And Applied Mathematics [ISSN 0377-0427], v. 346, p. 18-25 |
| Colección: | Artículos |
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