2021-06-142021-06-142019Márquez 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), 18-25.0377-0427https://hdl.handle.net/11441/111761We 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.application/pdf8engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Hamiltonian triangulationsSpace-filling curveMesh refinementLongest edgeinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.cam.2018.06.029