Abstract:Geometric spanner is a fundamental structure in computational geometry and plays an important role in many geometric networks design applications. In this paper, we consider a generalization of the classical geometric spanner problem (called segment spanner): Given a set S of n disjoint 2-D segments, find a spanning network G S with minimum size so that for any pair of points in S, there exists a path in G S with length no more than t times their Euclidean distance. Based on a number of interesting techniques … Show more
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