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conference paper
Diameter of Polyhedra: Limits of Abstraction
2009
25th Annual ACM Symposium on Computational Geometry (SoCG'09)
We investigate the diameter of a natural abstraction of the 1-skeleton of polyhedra. Although this abstraction is simpler than other abstractions that were previously studied in the literature, the best upper bounds on the diameter of polyhedra continue to hold here. On the other hand, we show that this abstraction has its limits by providing a superlinear lower bound.
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