Dynamic Algorithms for Approximating Interdistances

Sergey Bereg, Michael Segal

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we present efficient dynamic algorithms for approximation of kth, 1 ≤ k ≤ (n 2) distance defined by some pair of points from a given set S of n points in d-dimensional space. Our technique is based on the dynamization of well-separated pair decomposition proposed in [11], computing approximate nearest and farthest neighbors [22, 25] and use of persistent search trees [17].
Original languageEnglish GB
Pages (from-to)344-355
Number of pages12
JournalNord. J. Comput.
Volume11
Issue number4
StatePublished - 2004

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