Artículo
Hamiltonian triangular refinements and space-filling curves
Autor/es | Márquez Pérez, Alberto
Plaza, Ángel Suárez, José P. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2019 |
Fecha de depósito | 2021-06-14 |
Publicado en |
|
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 ... 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. |
Cita | Márquez Pérez, A., Plaza, Á. y Suárez, J.P. (2019). Hamiltonian triangular refinements and space-filling curves. Journal of Computational and Applied Mathematics, 346 (January 2019), 18-25. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Hamiltonian triangular refinements ... | 510.7Kb | [PDF] | Ver/ | |