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Monochromatic geometric k-factors for bicolored point sets with auxiliary points

 

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Opened Access Monochromatic geometric k-factors for bicolored point sets with auxiliary points
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Author: Garijo Royo, Delia
Garrido Vizuete, María de los Angeles
Grima Ruiz, Clara Isabel
Márquez Pérez, Alberto
Moreno González, Auxiliadora
Portillo Fernández, José Ramón
Reyes Colume, Pedro
Robles Arias, Rafael
Valenzuela Muñoz, Jesús
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2014
Published in: Information Processing Letters, 114 (1-2), 19-24.
Document type: Article
Abstract: Given a bicolored point set S, it is not always possible to construct a monochromatic geometric planar k-factor of S. We consider the problem of finding such a k-factor of S by using auxiliary points. Two types are considered: white points whose position is fixed, and Steiner points which have no fixed position. Our approach provides algorithms for constructing those k-factors, and gives bounds on the number of auxiliary points needed to draw a monochromatic geometric planar k-factor of S.
Size: 134.2Kb
Format: PDF

URI: http://hdl.handle.net/11441/38832

DOI: http://dx.doi.org/10.1016/j.ipl.2013.10.002

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