Delta-Fast Tries: Local Searches in Bounded Universes with Linear Space

  • Marcel Ehrhardt
  • Wolfgang MulzerEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10389)


Let \(w \in {\mathbb {N}}\) and \(U = \{0, 1, \dots , 2^w-1\}\) be a bounded universe of w-bit integers. We present a dynamic data structure for predecessor searching in U. Our structure needs \(O(\log \log \varDelta )\) time for queries and \(O(\log \log \varDelta )\) expected time for updates, where \(\varDelta \) is the difference between the query element and its nearest neighbor in the structure. Our data structure requires linear space. This improves a result by Bose et al. [CGTA, 46(2), pp. 181–189].

The structure can be applied for answering approximate nearest neighbor queries in low dimensions and for dominance queries on a grid.


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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institut für InformatikFreie Universität BerlinBerlinGermany

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