Abstract
Although there is a linear time algorithm to decide whether an ordered set has an upward drawing on a surface topologically equivalent to a sphere, we shall prove that the decision problem whether an ordered set has an upward drawing on a sphere itself is NP-complete. To this end we explore the surface topology of ordered sets highlighting especially the role of their saddle points.
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© 1996 Springer-Verlag Berlin Heidelberg
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Hashemi, S.M., Kisielewicz, A., Rival, I. (1996). Upward drawings on planes and spheres. In: Brandenburg, F.J. (eds) Graph Drawing. GD 1995. Lecture Notes in Computer Science, vol 1027. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0021811
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DOI: https://doi.org/10.1007/BFb0021811
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