Volume

Dagstuhl Seminar Proceedings, Volume 4301



Publication Details

  • published at: 2005-07-01
  • Publisher: Schloss-Dagstuhl - Leibniz Zentrum für Informatik

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Document
04301 Abstracts Collection – Cache-Oblivious and Cache-Aware Algorithms

Authors: Lars Arge, Michael A. Bender, Erik Demaine, Charles Leiserson, and Kurt Mehlhorn


Abstract
The Dagstuhl Seminar 04301 ``Cache-Oblivious and Cache-Aware Algorithms'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl, from 18.07.2004 to 23.07.2004. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.

Cite as

Lars Arge, Michael A. Bender, Erik Demaine, Charles Leiserson, and Kurt Mehlhorn. 04301 Abstracts Collection – Cache-Oblivious and Cache-Aware Algorithms. In Cache-Oblivious and Cache-Aware Algorithms. Dagstuhl Seminar Proceedings, Volume 4301, pp. 1-14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2005)


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@InProceedings{arge_et_al:DagSemProc.04301.1,
  author =	{Arge, Lars and Bender, Michael A. and Demaine, Erik and Leiserson, Charles and Mehlhorn, Kurt},
  title =	{{04301 Abstracts Collection – Cache-Oblivious and Cache-Aware Algorithms}},
  booktitle =	{Cache-Oblivious and Cache-Aware Algorithms},
  pages =	{1--14},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4301},
  editor =	{Lars Arge and Michael A. Bender and Erik Demaine and Charles Leiserson and Kurt Mehlhorn},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04301.1},
  URN =		{urn:nbn:de:0030-drops-1576},
  doi =		{10.4230/DagSemProc.04301.1},
  annote =	{Keywords: Cache oblivious , cache aware , external memory , I/O-efficient algorithms , data structures}
}
Document
A Simple Algorithm for I/O-efficiently Pruning Dense Spanners

Authors: Joachim Gudmundsson and Jan Vahrenhold


Abstract
Given a geometric graph $G=(S,E)$ in $R^d$ with constant dilation $t$, and a positive constant $\epsilon$, we show how to construct a $(1+\epsilon)$-spanner of $G$ with $O(|S|)$ edges using $O(sort(|E|))$ I/O operations.

Cite as

Joachim Gudmundsson and Jan Vahrenhold. A Simple Algorithm for I/O-efficiently Pruning Dense Spanners. In Cache-Oblivious and Cache-Aware Algorithms. Dagstuhl Seminar Proceedings, Volume 4301, pp. 1-2, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2005)


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@InProceedings{gudmundsson_et_al:DagSemProc.04301.2,
  author =	{Gudmundsson, Joachim and Vahrenhold, Jan},
  title =	{{A Simple Algorithm for I/O-efficiently Pruning Dense Spanners}},
  booktitle =	{Cache-Oblivious and Cache-Aware Algorithms},
  pages =	{1--2},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4301},
  editor =	{Lars Arge and Michael A. Bender and Erik Demaine and Charles Leiserson and Kurt Mehlhorn},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04301.2},
  URN =		{urn:nbn:de:0030-drops-1566},
  doi =		{10.4230/DagSemProc.04301.2},
  annote =	{Keywords: No keywords}
}
Document
The Priority R-Tree: A Practically Efficient and Worst-Case-Optimal R-Tree

Authors: Lars Arge, Mark de Berg, Herman J. Haverkort, and Ke Yi


Abstract
The query efficiency of a data structure that stores a set of objects, can normally be assessed by analysing the number of objects, pointers etc. looked at when answering a query. However, if the data structure is too big to fit in main memory, data may need to be fetched from disk. In that case, the query efficiency is easily dominated by moving the disk head to the correct locations, rather than by reading the data itself. To reduce the number of disk accesses, once can group the data into blocks, and strive to bound the number of different blocks accessed rather than the number of individual data objects read. An R-tree is a general-purpose data structur that stores a hierarchical grouping of geometric objects into blocks. Many heuristics have been designed to determine which objects should be grouped together, but none of these heuristics could give a guarantee on the resulting worst-case query time. We present the Priority R-tree, or PR-tree, which is the first R-tree variant that always answers a window query by accessing $O((N/B)^{1-1/d} + T/B)$ blocks, where $N$ is the number of $d$-dimensional objects stored, $B$ is the number of objects per block, and $T$ is the number of objects whose bounding boxes intersect the query window. This is provably asymptotically optimal. Experiments show that the PR-tree performs similar to the best known heuristics on real-life and relatively nicely distributed data, but outperforms them significantly on more extreme data.

Cite as

Lars Arge, Mark de Berg, Herman J. Haverkort, and Ke Yi. The Priority R-Tree: A Practically Efficient and Worst-Case-Optimal R-Tree. In Cache-Oblivious and Cache-Aware Algorithms. Dagstuhl Seminar Proceedings, Volume 4301, pp. 1-26, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2005)


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@InProceedings{arge_et_al:DagSemProc.04301.3,
  author =	{Arge, Lars and de Berg, Mark and Haverkort, Herman J. and Yi, Ke},
  title =	{{The Priority R-Tree: A Practically Efficient and Worst-Case-Optimal R-Tree}},
  booktitle =	{Cache-Oblivious and Cache-Aware Algorithms},
  pages =	{1--26},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4301},
  editor =	{Lars Arge and Michael A. Bender and Erik Demaine and Charles Leiserson and Kurt Mehlhorn},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04301.3},
  URN =		{urn:nbn:de:0030-drops-1554},
  doi =		{10.4230/DagSemProc.04301.3},
  annote =	{Keywords: R-Trees}
}

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