Article
Hamiltonian triangular refinements and space-filling curves
Author/s | Márquez Pérez, Alberto
![]() ![]() ![]() ![]() ![]() ![]() ![]() Plaza, Ángel Suárez, José P. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2019 |
Deposit Date | 2021-06-14 |
Published in |
|
Abstract | 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. |
Citation | 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. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Hamiltonian triangular refinements ... | 510.7Kb | ![]() | View/ | |