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Creators/Authors contains: "Rahul, Saladi"

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  1. ; ; (, Algorithmica)
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  2. ; (, Proc. Sympos. Theoretical Aspects of Computer Science (STACS))
    null (Ed.)
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  3. ; ; (, Proc. Algorithms and Data Structures Symposium (WADS))
    Range closest-pair (RCP) search is a range-search variant of the classical closest-pair problem, which aims to store a given set S of points into some space-efficient data structure such that when a query range Q is specified, the closest pair in S∩Q can be reported quickly. RCP search has received attention over years, but the primary focus was only on R^2. In this paper, we study RCP search in higher dimensions. We give the first nontrivial RCP data structures for orthogonal, simplex, halfspace, and ball queries in R^d for any constant d. Furthermore, we prove a conditional lower bound for orthogonal RCP search for d≥3. 
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