Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/54916
Title: Hamiltonian triangular refinements and space-filling curves
Authors: Márquez, Alberto
Plaza, Angel 
Suarez, Jose P. 
UNESCO Clasification: 120601 Construcción de algoritmos
1206 Análisis numérico
Keywords: Hamiltonian triangulations
Space-filling curve
Mesh refinement
Longest edge
Issue Date: 2019
Journal: Journal of Computational and Applied Mathematics 
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 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
Source: Journal Of Computational And Applied Mathematics [ISSN 0377-0427], v. 346, p. 18-25
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