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In Proceedings of the 25th annual symposium on Computational geometry (2009), pp. 386-392, doi:10.1145/1542362.1542428 Key: citeulike:12185307
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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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