Volume

Dagstuhl Seminar Proceedings, Volume 6091

Publication Details

  • published at: 2006-11-30
  • Publisher: Schloss Dagstuhl – Leibniz-Zentrum für Informatik

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Document
DOI: 10.4230/DagSemProc.06091.1
06091 Abstracts Collection – Data Structures

Authors: Lars Arge, Robert Sedgewick, and Dorothea Wagner

Abstract
From 26.02.06 to 03.03.06, the Dagstuhl Seminar 06091 ``Data Structures'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. 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.
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Lars Arge, Robert Sedgewick, and Dorothea Wagner. 06091 Abstracts Collection – Data Structures. In Data Structures. Dagstuhl Seminar Proceedings, Volume 6091, pp. 1-16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{arge_et_al:DagSemProc.06091.1,
  author =	{Arge, Lars and Sedgewick, Robert and Wagner, Dorothea},
  title =	{{06091 Abstracts Collection – Data Structures}},
  booktitle =	{Data Structures},
  pages =	{1--16},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6091},
  editor =	{Lars Arge and Robert Sedgewick and Dorothea Wagner},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06091.1},
  URN =		{urn:nbn:de:0030-drops-8428},
  doi =		{10.4230/DagSemProc.06091.1},
  annote =	{Keywords: Algorithms, data structures}
}
Document
DOI: 10.4230/DagSemProc.06091.2
06091 Executive Summary – Data Structures

Authors: Lars Arge, Robert Sedgewick, and Dorothea Wagner

Abstract
The Dagstuhl Seminar on Data Structures in 2006 reported on ongoing research on data structures, including randomized, cache-oblivious and succinct data structures. There was some shift of interest away from purely theoretical issues towards scientific studies that are directly relevant to practical applications. The participants were asked to think about the direction that research on data structure should take. Several presentations were provocative responses to this question. Interest in the topic remains high: another attendance record was set.
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Lars Arge, Robert Sedgewick, and Dorothea Wagner. 06091 Executive Summary – Data Structures. In Data Structures. Dagstuhl Seminar Proceedings, Volume 6091, p. 1, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{arge_et_al:DagSemProc.06091.2,
  author =	{Arge, Lars and Sedgewick, Robert and Wagner, Dorothea},
  title =	{{06091 Executive Summary – Data Structures}},
  booktitle =	{Data Structures},
  pages =	{1--1},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6091},
  editor =	{Lars Arge and Robert Sedgewick and Dorothea Wagner},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06091.2},
  URN =		{urn:nbn:de:0030-drops-8411},
  doi =		{10.4230/DagSemProc.06091.2},
  annote =	{Keywords: algorithms, data structures}
}
Document
DOI: 10.4230/DagSemProc.06091.3
Die Another Day

Authors: Rudolf Fleischer

Abstract
The hydra was a many-headed monster from Greek mythology that could grow one or two new heads when one of its heads got cut off. It was the second task of Hercules to kill this monster. In an abstract sense a hydra can be modeled by a tree where the leaves are the heads, and when a head is cut off some subtrees get duplicated. Different hydra species differ by the location of subtrees to be duplicated and by the number of new subtrees grown in each step. Using some deep mathematics, it had been shown that two classes of rather restricted hydra species must always die, independent of the order in which heads are cut off. In this paper we provide an elementary proof which actually gives a complete classification of all hydra species as immortal or doomed. Now, if Hercules had known this...
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Rudolf Fleischer. Die Another Day. In Data Structures. Dagstuhl Seminar Proceedings, Volume 6091, pp. 1-8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{fleischer:DagSemProc.06091.3,
  author =	{Fleischer, Rudolf},
  title =	{{Die Another Day}},
  booktitle =	{Data Structures},
  pages =	{1--8},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6091},
  editor =	{Lars Arge and Robert Sedgewick and Dorothea Wagner},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06091.3},
  URN =		{urn:nbn:de:0030-drops-7652},
  doi =		{10.4230/DagSemProc.06091.3},
  annote =	{Keywords: Hydra, Koenig's Lemma, Peano Arithmetic}
}
Document
DOI: 10.4230/DagSemProc.06091.4
In-Place Randomized Slope-Selection

Authors: Henrik Blunck and Jan Vahrenhold

Abstract
Slope selection is a well-known algorithmic tool used in the context of computing robust estimators for fitting a line to a collection $mathcal{P}$ of $n$ points in the plane. We demonstrate that it is possible to perform slope selection in expected $mathcal{O}(n log n)$ time using only constant extra space in addition to the space needed for representing the input. Our solution is based upon a space-efficient variant of Matouv{s}ek's randomized interpolation search, and we believe that the techniques developed in this paper will prove helpful in the design of space-efficient randomized algorithms using samples. To underline this, we also sketch how to compute the repeated median line estimator in an in-place setting.
Cite as

Henrik Blunck and Jan Vahrenhold. In-Place Randomized Slope-Selection. In Data Structures. Dagstuhl Seminar Proceedings, Volume 6091, pp. 1-4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{blunck_et_al:DagSemProc.06091.4,
  author =	{Blunck, Henrik and Vahrenhold, Jan},
  title =	{{In-Place Randomized Slope-Selection}},
  booktitle =	{Data Structures},
  pages =	{1--4},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6091},
  editor =	{Lars Arge and Robert Sedgewick and Dorothea Wagner},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06091.4},
  URN =		{urn:nbn:de:0030-drops-8390},
  doi =		{10.4230/DagSemProc.06091.4},
  annote =	{Keywords: In-Place Algorithms, Slope Selection}
}
Document
DOI: 10.4230/DagSemProc.06091.5
Towards a Final Analysis of Pairing Heaps

Authors: Seth Pettie

Abstract
Fredman, Sedgewick, Sleator, and Tarjan proposed the {em pairing heap} as a self-adjusting, streamlined version of the Fibonacci heap. It provably supports all priority queue operations in logarithmic time and is known to be extremely efficient in practice. However, despite its simplicity and empirical superiority, the pairing heap is one of the few popular data structures whose basic complexity remains open. In this paper we prove that pairing heaps support the deletemin operation in optimal logarithmic time and all other operations (insert, meld, and decreasekey) in time $O(2^{2sqrt{loglog n}})$. This result gives the {em first} sub-logarithmic time bound for decreasekey and comes close to the lower bound of $Omega(loglog n)$ established by Fredman. Pairing heaps have a well known but poorly understood relationship to splay trees and, to date, the transfer of ideas has flowed in one direction: from splaying to pairing. One contribution of this paper is a new analysis that reasons explicitly with information-theoretic measures. Whether these ideas could contribute to the analysis of splay trees is an open question.
Cite as

Seth Pettie. Towards a Final Analysis of Pairing Heaps. In Data Structures. Dagstuhl Seminar Proceedings, Volume 6091, pp. 1-10, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{pettie:DagSemProc.06091.5,
  author =	{Pettie, Seth},
  title =	{{Towards a Final Analysis of Pairing Heaps}},
  booktitle =	{Data Structures},
  pages =	{1--10},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6091},
  editor =	{Lars Arge and Robert Sedgewick and Dorothea Wagner},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06091.5},
  URN =		{urn:nbn:de:0030-drops-7642},
  doi =		{10.4230/DagSemProc.06091.5},
  annote =	{Keywords: Data structure, heap, self-adjusting, amortized analysis}
}

Filters

  • Authors
  • A
  • Arge, Lars
  • B
  • Blunck, Henrik
  • F
  • Fleischer, Rudolf
  • P
  • Pettie, Seth
  • S
  • Sedgewick, Robert
  • V
  • Vahrenhold, Jan
  • W
  • Wagner, Dorothea

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