---
_id: '18853'
author:
- first_name: Christian
  full_name: Sohler, Christian
  last_name: Sohler
- first_name: Artur
  full_name: Czumaj, Artur
  last_name: Czumaj
citation:
  ama: Sohler C, Czumaj A. Abstract Combinatorial Programs and Efficient Property
    Testers. <i>Proceedings of the 43th Symposium on Foundations of Computer Science
    (FOCS)</i>. 2002:83-92.
  apa: Sohler, C., &#38; Czumaj, A. (2002). Abstract Combinatorial Programs and Efficient
    Property Testers. <i>Proceedings of the 43th Symposium on Foundations of Computer
    Science (FOCS)</i>, 83–92.
  bibtex: '@article{Sohler_Czumaj_2002, title={Abstract Combinatorial Programs and
    Efficient Property Testers}, journal={Proceedings of the 43th Symposium on Foundations
    of Computer Science (FOCS)}, author={Sohler, Christian and Czumaj, Artur}, year={2002},
    pages={83–92} }'
  chicago: Sohler, Christian, and Artur Czumaj. “Abstract Combinatorial Programs and
    Efficient Property Testers.” <i>Proceedings of the 43th Symposium on Foundations
    of Computer Science (FOCS)</i>, 2002, 83–92.
  ieee: C. Sohler and A. Czumaj, “Abstract Combinatorial Programs and Efficient Property
    Testers,” <i>Proceedings of the 43th Symposium on Foundations of Computer Science
    (FOCS)</i>, pp. 83–92, 2002.
  mla: Sohler, Christian, and Artur Czumaj. “Abstract Combinatorial Programs and Efficient
    Property Testers.” <i>Proceedings of the 43th Symposium on Foundations of Computer
    Science (FOCS)</i>, 2002, pp. 83–92.
  short: C. Sohler, A. Czumaj, Proceedings of the 43th Symposium on Foundations of
    Computer Science (FOCS) (2002) 83–92.
date_created: 2020-09-02T12:08:22Z
date_updated: 2022-01-06T06:53:52Z
department:
- _id: '63'
language:
- iso: eng
page: 83-92
publication: Proceedings of the 43th Symposium on Foundations of Computer Science
  (FOCS)
status: public
title: Abstract Combinatorial Programs and Efficient Property Testers
type: journal_article
user_id: '15415'
year: '2002'
...
---
_id: '18961'
author:
- first_name: Tamás
  full_name: Lukovszki, Tamás
  last_name: Lukovszki
- first_name: A.
  full_name: Benczúr, A.
  last_name: Benczúr
citation:
  ama: Lukovszki T, Benczúr A. <i>A Degree O(Log Log n) Fault Tolerant Distributed
    Location Service for Geographic Ad-Hoc Routing</i>. Paderborn; 2002.
  apa: Lukovszki, T., &#38; Benczúr, A. (2002). <i>A Degree O(log log n) Fault Tolerant
    Distributed Location Service for Geographic Ad-Hoc Routing</i>. Paderborn.
  bibtex: '@book{Lukovszki_Benczúr_2002, place={Paderborn}, title={A Degree O(log
    log n) Fault Tolerant Distributed Location Service for Geographic Ad-Hoc Routing},
    author={Lukovszki, Tamás and Benczúr, A.}, year={2002} }'
  chicago: Lukovszki, Tamás, and A. Benczúr. <i>A Degree O(Log Log n) Fault Tolerant
    Distributed Location Service for Geographic Ad-Hoc Routing</i>. Paderborn, 2002.
  ieee: T. Lukovszki and A. Benczúr, <i>A Degree O(log log n) Fault Tolerant Distributed
    Location Service for Geographic Ad-Hoc Routing</i>. Paderborn, 2002.
  mla: Lukovszki, Tamás, and A. Benczúr. <i>A Degree O(Log Log n) Fault Tolerant Distributed
    Location Service for Geographic Ad-Hoc Routing</i>. 2002.
  short: T. Lukovszki, A. Benczúr, A Degree O(Log Log n) Fault Tolerant Distributed
    Location Service for Geographic Ad-Hoc Routing, Paderborn, 2002.
date_created: 2020-09-03T13:16:48Z
date_updated: 2022-01-06T06:53:55Z
department:
- _id: '63'
language:
- iso: eng
place: Paderborn
status: public
title: A Degree O(log log n) Fault Tolerant Distributed Location Service for Geographic
  Ad-Hoc Routing
type: report
user_id: '15415'
year: '2002'
...
---
_id: '18169'
abstract:
- lang: ger
  text: Die Implementierung von Algorithmen zur Lösung geometrischer Probleme im Euklidischen
    Raum (z.B. Berechnung der konvexen Hülle oder des Durchschnitts zweier Polyeder)
    stellt sich oftmals als hochgradig nichttrivial heraus. Ob und unter welchen Voraussetzungen
    die verursachenden numerischen Instabilitäten überhaupt ini den Griff zu kriegen
    oder vielmehr dem Problem inhärent sind, untersucht diese Arbeit in einem auf
    Turing zurückgehenden Rechenmodell. Im Gegensatz zu algebraischen Ansätzen geht
    jenes nicht von der Verfügbarkeit exakter Tests auf z.B. Gleichheit reeller Zahlen
    aus, sondern berücksichtigt die auf Digitalcomputern tatsächlich realisierbare
    Approximation durch rationale Zahlen. In diesem Rahmen werden beweisbar stabile
    Algorithmen zum Lösen linearer Gleichungssysteme, zur Matrix-Diagonalisierung
    und zur linearen wie nichtlinearen Optimierung präsentiert. Als wichtiges technisches
    Hilfsmittel dient ein neuer Berechenbarkeitsbegriff für reguläre unendliche Mengen
    reller Zahlen, der sich aus dem systematischen Vergleich verschiedener der Literatur
    entnommener ad-hoc Ansätze ergibt.
- lang: eng
  text: Quite often, the implementation of well-known algorithms for solving geometric
    problems in Euclidean space (such as convex hull computation or intersecting two
    polyhedra) turns out to be a highly nontrivial task. Whether and under what prerequisites
    the underlying numerical numerical instabilities can be avoided or are rather
    inherent to the problem is investigated by the present work in a model of computation
    dating back to Alan Turing himself. Other than algebraic approaches, this does
    not rely on (volatile) exact tests for, e.g., equality of real numbers but reflects
    the property of actual digital computers to only approximate real numbers by rationals.
    In this framework, we devise and present provably stable algorithms for solving
    systems of linear equations, matrix diagonalization, and lineare as well as non-linear
    optimization. As major technical tool, a new notion of computability for regular
    infinite sets of real numbers is introduced that arises from formalizing and systematically
    comparing several ad-hoc notions found in previous literature.
author:
- first_name: Martin
  full_name: Ziegler, Martin
  last_name: Ziegler
citation:
  ama: Ziegler M. <i>Zur Berechenbarkeit reeller geometrischer Probleme</i>. Vol 115.
    Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn; 2002.
  apa: Ziegler, M. (2002). <i>Zur Berechenbarkeit reeller geometrischer Probleme</i>
    (Vol. 115). Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn.
  bibtex: '@book{Ziegler_2002, series={Verlagsschriftenreihe des Heinz Nixdorf Instituts,
    Paderborn}, title={Zur Berechenbarkeit reeller geometrischer Probleme}, volume={115},
    publisher={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn}, author={Ziegler,
    Martin}, year={2002}, collection={Verlagsschriftenreihe des Heinz Nixdorf Instituts,
    Paderborn} }'
  chicago: Ziegler, Martin. <i>Zur Berechenbarkeit reeller geometrischer Probleme</i>.
    Vol. 115. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn. Verlagsschriftenreihe
    des Heinz Nixdorf Instituts, Paderborn, 2002.
  ieee: M. Ziegler, <i>Zur Berechenbarkeit reeller geometrischer Probleme</i>, vol.
    115. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2002.
  mla: Ziegler, Martin. <i>Zur Berechenbarkeit reeller geometrischer Probleme</i>.
    Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2002.
  short: M. Ziegler, Zur Berechenbarkeit reeller geometrischer Probleme, Verlagsschriftenreihe
    des Heinz Nixdorf Instituts, Paderborn, 2002.
date_created: 2020-08-24T11:36:55Z
date_updated: 2022-01-06T06:53:26Z
department:
- _id: '63'
- _id: '26'
intvolume: '       115'
language:
- iso: ger
publication_identifier:
  isbn:
  - 3-935433-24-7
publisher: Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn
related_material:
  link:
  - relation: confirmation
    url: http://digital.ub.uni-paderborn.de/ubpb/urn/urn:nbn:de:hbz:466-20020101320
series_title: Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn
status: public
supervisor:
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
title: Zur Berechenbarkeit reeller geometrischer Probleme
type: dissertation
user_id: '5786'
volume: 115
year: '2002'
...
---
_id: '18176'
author:
- first_name: Martin
  full_name: Ziegler, Martin
  last_name: Ziegler
citation:
  ama: Ziegler M. Computability on Regular Subsets of Euclidean Space. <i>Mathematical
    Logic Quarterly (MLQ)</i>. 2002;48(S1):157-181. doi:<a href="https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4">10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4</a>
  apa: Ziegler, M. (2002). Computability on Regular Subsets of Euclidean Space. <i>Mathematical
    Logic Quarterly (MLQ)</i>, <i>48</i>(S1), 157–181. <a href="https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4">https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4</a>
  bibtex: '@article{Ziegler_2002, title={Computability on Regular Subsets of Euclidean
    Space}, volume={48}, DOI={<a href="https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4">10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4</a>},
    number={S1}, journal={Mathematical Logic Quarterly (MLQ)}, author={Ziegler, Martin},
    year={2002}, pages={157–181} }'
  chicago: 'Ziegler, Martin. “Computability on Regular Subsets of Euclidean Space.”
    <i>Mathematical Logic Quarterly (MLQ)</i> 48, no. S1 (2002): 157–81. <a href="https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4">https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4</a>.'
  ieee: M. Ziegler, “Computability on Regular Subsets of Euclidean Space,” <i>Mathematical
    Logic Quarterly (MLQ)</i>, vol. 48, no. S1, pp. 157–181, 2002.
  mla: Ziegler, Martin. “Computability on Regular Subsets of Euclidean Space.” <i>Mathematical
    Logic Quarterly (MLQ)</i>, vol. 48, no. S1, 2002, pp. 157–81, doi:<a href="https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4">10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4</a>.
  short: M. Ziegler, Mathematical Logic Quarterly (MLQ) 48 (2002) 157–181.
date_created: 2020-08-24T12:05:40Z
date_updated: 2022-01-06T06:53:26Z
department:
- _id: '63'
doi: 10.1002/1521-3870(200210)48:1+<157::aid-malq157>3.0.co;2-4
intvolume: '        48'
issue: S1
language:
- iso: eng
page: 157-181
publication: Mathematical Logic Quarterly (MLQ)
publication_identifier:
  issn:
  - 0942-5616
  - 1521-3870
publication_status: published
status: public
title: Computability on Regular Subsets of Euclidean Space
type: journal_article
user_id: '15415'
volume: 48
year: '2002'
...
---
_id: '18177'
abstract:
- lang: eng
  text: 'Consider the classical point location problem: for a fixed arrangement of
    m hyperplanes and its induced partition of d-space report, upon input of some
    point, which face it lies in. With sufficient memory, this is easy to solve in
    logarithmic time O(log m). But how fast can algorithms (formalized as Linear Decision
    Trees) of *minimum* size be? The present work gives lower and upper bounds for
    the time complexity of point location under this constraint. They show that, in
    addition to m, the maximum number w of walls of a cell turns out to be a crucial
    parameter. We also consider a relaxation of the strict minimum-size condition
    allowing for constant factor overhead.'
author:
- first_name: Martin
  full_name: Ziegler, Martin
  last_name: Ziegler
- first_name: Valentina
  full_name: Damerow, Valentina
  last_name: Damerow
- first_name: Lukas
  full_name: Finschi, Lukas
  last_name: Finschi
citation:
  ama: 'Ziegler M, Damerow V, Finschi L. Point Location Algorithms of Minimum Size.
    In: <i>Proceedings of the 14th Canadian Conference on Computational Geometry (CCCG’02)</i>.
    ; 2002.'
  apa: Ziegler, M., Damerow, V., &#38; Finschi, L. (2002). Point Location Algorithms
    of Minimum Size. In <i>Proceedings of the 14th Canadian Conference on Computational
    Geometry (CCCG’02)</i>.
  bibtex: '@inproceedings{Ziegler_Damerow_Finschi_2002, title={Point Location Algorithms
    of Minimum Size}, booktitle={Proceedings of the 14th Canadian Conference on Computational
    Geometry (CCCG’02)}, author={Ziegler, Martin and Damerow, Valentina and Finschi,
    Lukas}, year={2002} }'
  chicago: Ziegler, Martin, Valentina Damerow, and Lukas Finschi. “Point Location
    Algorithms of Minimum Size.” In <i>Proceedings of the 14th Canadian Conference
    on Computational Geometry (CCCG’02)</i>, 2002.
  ieee: M. Ziegler, V. Damerow, and L. Finschi, “Point Location Algorithms of Minimum
    Size,” in <i>Proceedings of the 14th Canadian Conference on Computational Geometry
    (CCCG’02)</i>, 2002.
  mla: Ziegler, Martin, et al. “Point Location Algorithms of Minimum Size.” <i>Proceedings
    of the 14th Canadian Conference on Computational Geometry (CCCG’02)</i>, 2002.
  short: 'M. Ziegler, V. Damerow, L. Finschi, in: Proceedings of the 14th Canadian
    Conference on Computational Geometry (CCCG’02), 2002.'
date_created: 2020-08-24T12:09:15Z
date_updated: 2022-01-06T06:53:26Z
department:
- _id: '63'
language:
- iso: eng
publication: Proceedings of the 14th Canadian Conference on Computational Geometry
  (CCCG'02)
publication_status: published
status: public
title: Point Location Algorithms of Minimum Size
type: conference
user_id: '15415'
year: '2002'
...
---
_id: '18179'
abstract:
- lang: eng
  text: Do the solutions of linear equations depend computably on their coefficients?
    Implicitly, this has been one of the central questions in linear algebra since
    the very beginning of the subject and the famous Gauß algorithm is one of its
    numerical answers. Today there exists a tremendous number of algorithms which
    solve this problem for different types of linear equations. However, actual implementations
    in floating point arithmetic keep exhibiting numerical instabilities for ill-conditioned
    inputs. This situation raises the question which of these instabilities are intrinsic,
    thus caused by the very nature of the problem, and which are just side effects
    of specific algorithms. To approach this principle question we revisit linear
    equations from the rigorous point of view of computability. Therefore we apply
    methods of computable analysis, which is the Turing machine based theory of computable
    real number functions. It turns out that, given the coefficients of a system of
    linear equations, we can compute the space of solutions, if and only if the dimension
    of the solution space is known in advance. Especially, this explains why there
    cannot exist any stable algorithms under weaker assumptions.
author:
- first_name: Vasco
  full_name: Brattka, Vasco
  last_name: Brattka
- first_name: Martin
  full_name: Ziegler, Martin
  last_name: Ziegler
citation:
  ama: 'Brattka V, Ziegler M. Computability of Linear Equations. In: <i>Proceedings
    of the 2nd IFIP International Conference on Theoretical Computer Science</i>.
    Boston, MA; 2002:95-106. doi:<a href="https://doi.org/10.1007/978-0-387-35608-2_9">10.1007/978-0-387-35608-2_9</a>'
  apa: Brattka, V., &#38; Ziegler, M. (2002). Computability of Linear Equations. In
    <i>Proceedings of the 2nd IFIP International Conference on Theoretical Computer
    Science</i> (pp. 95–106). Boston, MA. <a href="https://doi.org/10.1007/978-0-387-35608-2_9">https://doi.org/10.1007/978-0-387-35608-2_9</a>
  bibtex: '@inproceedings{Brattka_Ziegler_2002, place={Boston, MA}, title={Computability
    of Linear Equations}, DOI={<a href="https://doi.org/10.1007/978-0-387-35608-2_9">10.1007/978-0-387-35608-2_9</a>},
    booktitle={Proceedings of the 2nd IFIP International Conference on Theoretical
    Computer Science}, author={Brattka, Vasco and Ziegler, Martin}, year={2002}, pages={95–106}
    }'
  chicago: Brattka, Vasco, and Martin Ziegler. “Computability of Linear Equations.”
    In <i>Proceedings of the 2nd IFIP International Conference on Theoretical Computer
    Science</i>, 95–106. Boston, MA, 2002. <a href="https://doi.org/10.1007/978-0-387-35608-2_9">https://doi.org/10.1007/978-0-387-35608-2_9</a>.
  ieee: V. Brattka and M. Ziegler, “Computability of Linear Equations,” in <i>Proceedings
    of the 2nd IFIP International Conference on Theoretical Computer Science</i>,
    2002, pp. 95–106.
  mla: Brattka, Vasco, and Martin Ziegler. “Computability of Linear Equations.” <i>Proceedings
    of the 2nd IFIP International Conference on Theoretical Computer Science</i>,
    2002, pp. 95–106, doi:<a href="https://doi.org/10.1007/978-0-387-35608-2_9">10.1007/978-0-387-35608-2_9</a>.
  short: 'V. Brattka, M. Ziegler, in: Proceedings of the 2nd IFIP International Conference
    on Theoretical Computer Science, Boston, MA, 2002, pp. 95–106.'
date_created: 2020-08-24T12:11:07Z
date_updated: 2022-01-06T06:53:26Z
department:
- _id: '63'
doi: 10.1007/978-0-387-35608-2_9
language:
- iso: eng
page: 95-106
place: Boston, MA
publication: Proceedings of the 2nd IFIP International Conference on Theoretical Computer
  Science
publication_status: published
status: public
title: Computability of Linear Equations
type: conference
user_id: '15415'
year: '2002'
...
---
_id: '18369'
abstract:
- lang: eng
  text: "Visualising is a method used to help experiencing and understanding causal
    cohesions in simulation processes. For this purpose, tools for visualising are
    already implemented in prevalent simulation systems. The user creates his simulation
    model and generates a 3-dimensional (2,5-dimensional) visualising by means of
    the simulation system. This helps examining the process which makes it easier
    for the viewer to \x93understand\x94 it. Simulation tools usually only provide
    the opportunity for a unidirectional visualising. In a 3-dimensional surrounding
    the viewer can not implement an interaction with the simulation while the system
    is running. Though an interaction during the simulation run enables the user to
    gain a better understanding of causal cohesions. Solutions via HLA are sophisticated
    and therefore rather suited for extensive projects.\r\nWe present a distributed
    system consisting of a commercial manufacturing simulation tool, a coupling module
    and a walkthrough system. The distributed system in conjunctions with the coupling
    module guarantees generality and a wide field of applications of the walkthrough
    system. Further it guarantees flexibility and selection of the specialized graphics
    hardware for the walkthrough system. A further contribution of this paper is the
    solution of the time synchronisation problem caused by simulation tool and walkthrough
    system.\r\n"
author:
- first_name: Bengt
  full_name: Mueck, Bengt
  last_name: Mueck
- first_name: Wilhelm
  full_name: Dangelmaier, Wilhelm
  last_name: Dangelmaier
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Wolfram
  full_name: Klemisch, Wolfram
  last_name: Klemisch
citation:
  ama: 'Mueck B, Dangelmaier W, Fischer M, Klemisch W. Bi-directional Coupling of
    Simulation Tools with a Walkthrough-System. In: <i>Simulation Und Visualisierung</i>.
    Ghent, BE: SCS European Publishing House; 2002:71-84.'
  apa: 'Mueck, B., Dangelmaier, W., Fischer, M., &#38; Klemisch, W. (2002). Bi-directional
    Coupling of Simulation Tools with a Walkthrough-System. In <i>Simulation und Visualisierung</i>
    (pp. 71–84). Ghent, BE: SCS European Publishing House.'
  bibtex: '@inproceedings{Mueck_Dangelmaier_Fischer_Klemisch_2002, place={Ghent, BE},
    title={Bi-directional Coupling of Simulation Tools with a Walkthrough-System},
    booktitle={Simulation und Visualisierung}, publisher={SCS European Publishing
    House}, author={Mueck, Bengt and Dangelmaier, Wilhelm and Fischer, Matthias and
    Klemisch, Wolfram}, year={2002}, pages={71–84} }'
  chicago: 'Mueck, Bengt, Wilhelm Dangelmaier, Matthias Fischer, and Wolfram Klemisch.
    “Bi-Directional Coupling of Simulation Tools with a Walkthrough-System.” In <i>Simulation
    Und Visualisierung</i>, 71–84. Ghent, BE: SCS European Publishing House, 2002.'
  ieee: B. Mueck, W. Dangelmaier, M. Fischer, and W. Klemisch, “Bi-directional Coupling
    of Simulation Tools with a Walkthrough-System,” in <i>Simulation und Visualisierung</i>,
    2002, pp. 71–84.
  mla: Mueck, Bengt, et al. “Bi-Directional Coupling of Simulation Tools with a Walkthrough-System.”
    <i>Simulation Und Visualisierung</i>, SCS European Publishing House, 2002, pp.
    71–84.
  short: 'B. Mueck, W. Dangelmaier, M. Fischer, W. Klemisch, in: Simulation Und Visualisierung,
    SCS European Publishing House, Ghent, BE, 2002, pp. 71–84.'
date_created: 2020-08-26T13:01:43Z
date_updated: 2022-01-06T06:53:30Z
department:
- _id: '63'
language:
- iso: eng
page: 71-84
place: Ghent, BE
publication: Simulation und Visualisierung
publisher: SCS European Publishing House
status: public
title: Bi-directional Coupling of Simulation Tools with a Walkthrough-System
type: conference
user_id: '15415'
year: '2002'
...
---
_id: '18566'
abstract:
- lang: eng
  text: "We analyze a randomized pursuit-evasion game on graphs. This game is played
    by two players, a hunter and a rabbit. Let G be any connected, undirected graph
    with n nodes. The game is played in rounds and in each round both the hunter and
    the rabbit are located at a node of the graph. Between rounds both the hunter
    and the rabbit can stay at the current node or move to another node. The hunter
    is assumed to be restricted to the graph G: in every round, the hunter can move
    using at most one edge. For the rabbit we investigate two models: in one model
    the rabbit is restricted to the same graph as the hunter, and in the other model
    the rabbit is unrestricted, i.e., it can jump to an arbitrary node in every round.\r\n\r\nWe
    say that the rabbit is caught as soon as hunter and rabbit are located at the
    same node in a round. The goal of the hunter is to catch the rabbit in as few
    rounds as possible, whereas the rabbit aims to maximize the number of rounds until
    it is caught. Given a randomized hunter strategy for G, the escape length for
    that strategy is the worst case expected number of rounds it takes the hunter
    to catch the rabbit, where the worst case is with regards to all (possibly randomized)
    rabbit strategies. Our main result is a hunter strategy for general graphs with
    an escape length of only O\r\n(n log (diam(G))) against restricted as well as
    unrestricted rabbits. This bound is close to optimal since Ω(n) is a trivial lower
    bound on the escape length in both models. Furthermore, we prove that our upper
    bound is optimal up to constant factors against unrestricted rabbits."
author:
- first_name: Micah
  full_name: Adler, Micah
  last_name: Adler
- first_name: Harald
  full_name: Räcke, Harald
  last_name: Räcke
- first_name: Naveen
  full_name: Sivadasan, Naveen
  last_name: Sivadasan
- first_name: Christian
  full_name: Sohler, Christian
  last_name: Sohler
- first_name: Berthold
  full_name: Vöcking, Berthold
  last_name: Vöcking
citation:
  ama: 'Adler M, Räcke H, Sivadasan N, Sohler C, Vöcking B. Randomized Pursuit-Evasion
    in Graphs. In: <i>Proceedings of the 29th International Colloquium on Automata,
    Languages and Programming</i>. Berlin, Heidelberg; 2002. doi:<a href="https://doi.org/10.1007/3-540-45465-9_77">10.1007/3-540-45465-9_77</a>'
  apa: Adler, M., Räcke, H., Sivadasan, N., Sohler, C., &#38; Vöcking, B. (2002).
    Randomized Pursuit-Evasion in Graphs. In <i>Proceedings of the 29th International
    Colloquium on Automata, Languages and Programming</i>. Berlin, Heidelberg. <a
    href="https://doi.org/10.1007/3-540-45465-9_77">https://doi.org/10.1007/3-540-45465-9_77</a>
  bibtex: '@inproceedings{Adler_Räcke_Sivadasan_Sohler_Vöcking_2002, place={Berlin,
    Heidelberg}, title={Randomized Pursuit-Evasion in Graphs}, DOI={<a href="https://doi.org/10.1007/3-540-45465-9_77">10.1007/3-540-45465-9_77</a>},
    booktitle={Proceedings of the 29th International Colloquium on Automata, Languages
    and Programming}, author={Adler, Micah and Räcke, Harald and Sivadasan, Naveen
    and Sohler, Christian and Vöcking, Berthold}, year={2002} }'
  chicago: Adler, Micah, Harald Räcke, Naveen Sivadasan, Christian Sohler, and Berthold
    Vöcking. “Randomized Pursuit-Evasion in Graphs.” In <i>Proceedings of the 29th
    International Colloquium on Automata, Languages and Programming</i>. Berlin, Heidelberg,
    2002. <a href="https://doi.org/10.1007/3-540-45465-9_77">https://doi.org/10.1007/3-540-45465-9_77</a>.
  ieee: M. Adler, H. Räcke, N. Sivadasan, C. Sohler, and B. Vöcking, “Randomized Pursuit-Evasion
    in Graphs,” in <i>Proceedings of the 29th International Colloquium on Automata,
    Languages and Programming</i>, 2002.
  mla: Adler, Micah, et al. “Randomized Pursuit-Evasion in Graphs.” <i>Proceedings
    of the 29th International Colloquium on Automata, Languages and Programming</i>,
    2002, doi:<a href="https://doi.org/10.1007/3-540-45465-9_77">10.1007/3-540-45465-9_77</a>.
  short: 'M. Adler, H. Räcke, N. Sivadasan, C. Sohler, B. Vöcking, in: Proceedings
    of the 29th International Colloquium on Automata, Languages and Programming, Berlin,
    Heidelberg, 2002.'
date_created: 2020-08-28T12:04:12Z
date_updated: 2022-01-06T06:53:40Z
department:
- _id: '63'
doi: 10.1007/3-540-45465-9_77
language:
- iso: eng
place: Berlin, Heidelberg
publication: Proceedings of the 29th International Colloquium on Automata, Languages
  and Programming
publication_identifier:
  isbn:
  - '9783540438649'
  - '9783540454656'
  issn:
  - 0302-9743
publication_status: published
status: public
title: Randomized Pursuit-Evasion in Graphs
type: conference
user_id: '15415'
year: '2002'
...
---
_id: '16489'
author:
- first_name: Christof
  full_name: Krick, Christof
  last_name: Krick
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Harald
  full_name: Räcke, Harald
  last_name: Räcke
- first_name: Bernhard
  full_name: Vöcking, Bernhard
  last_name: Vöcking
- first_name: 'Matthias'' '
  full_name: 'Westermann, Matthias'' '
  last_name: Westermann
citation:
  ama: 'Krick C, Meyer auf der Heide F, Räcke H, Vöcking B, Westermann M. Data Management
    in Networks: Experimental Evaluation of a Provably Good Strategy. <i>Theory of
    Computing Systems</i>. Published online 2002:217-245. doi:<a href="https://doi.org/10.1007/s00224-001-1045-z">10.1007/s00224-001-1045-z</a>'
  apa: 'Krick, C., Meyer auf der Heide, F., Räcke, H., Vöcking, B., &#38; Westermann,
    M. (2002). Data Management in Networks: Experimental Evaluation of a Provably
    Good Strategy. <i>Theory of Computing Systems</i>, 217–245. <a href="https://doi.org/10.1007/s00224-001-1045-z">https://doi.org/10.1007/s00224-001-1045-z</a>'
  bibtex: '@article{Krick_Meyer auf der Heide_Räcke_Vöcking_Westermann_2002, title={Data
    Management in Networks: Experimental Evaluation of a Provably Good Strategy},
    DOI={<a href="https://doi.org/10.1007/s00224-001-1045-z">10.1007/s00224-001-1045-z</a>},
    journal={Theory of Computing Systems}, author={Krick, Christof and Meyer auf der
    Heide, Friedhelm and Räcke, Harald and Vöcking, Bernhard and Westermann, Matthias’
    }, year={2002}, pages={217–245} }'
  chicago: 'Krick, Christof, Friedhelm Meyer auf der Heide, Harald Räcke, Bernhard
    Vöcking, and Matthias’  Westermann. “Data Management in Networks: Experimental
    Evaluation of a Provably Good Strategy.” <i>Theory of Computing Systems</i>, 2002,
    217–45. <a href="https://doi.org/10.1007/s00224-001-1045-z">https://doi.org/10.1007/s00224-001-1045-z</a>.'
  ieee: 'C. Krick, F. Meyer auf der Heide, H. Räcke, B. Vöcking, and M. Westermann,
    “Data Management in Networks: Experimental Evaluation of a Provably Good Strategy,”
    <i>Theory of Computing Systems</i>, pp. 217–245, 2002, doi: <a href="https://doi.org/10.1007/s00224-001-1045-z">10.1007/s00224-001-1045-z</a>.'
  mla: 'Krick, Christof, et al. “Data Management in Networks: Experimental Evaluation
    of a Provably Good Strategy.” <i>Theory of Computing Systems</i>, 2002, pp. 217–45,
    doi:<a href="https://doi.org/10.1007/s00224-001-1045-z">10.1007/s00224-001-1045-z</a>.'
  short: C. Krick, F. Meyer auf der Heide, H. Räcke, B. Vöcking, M. Westermann, Theory
    of Computing Systems (2002) 217–245.
date_created: 2020-04-09T10:03:55Z
date_updated: 2022-01-06T06:52:51Z
department:
- _id: '63'
doi: 10.1007/s00224-001-1045-z
language:
- iso: eng
page: 217-245
publication: Theory of Computing Systems
publication_identifier:
  issn:
  - 1432-4350
  - 1433-0490
publication_status: published
status: public
title: 'Data Management in Networks: Experimental Evaluation of a Provably Good Strategy'
type: journal_article
user_id: '15415'
year: '2002'
...
---
_id: '16490'
abstract:
- lang: eng
  text: "We present a new data structure for rendering highly complex virtual environments
    of arbitrary topology. The special feature of our approach is that it allows an
    interactive navigation in very large scenes (30 GB/400 million polygons in our
    benchmark scenes) that cannot be stored in main memory, but only on a local or
    remote hard disk. Furthermore, it allows interactive rendering of substantially
    more complex scenes by instantiating objects.\r\n\r\nFor the computation of an
    approximate image of the scene, a sampling technique is used. In the preprocessing,
    a so-called sample tree is built whose nodes contain randomly selected polygons
    from the scene. This tree only uses space that is linear in the number of polygons.
    In order to produce an image of the scene, the tree is traversed and polygons
    stored in the visited nodes are rendered. During the interactive walkthrough,
    parts of the sample tree are loaded from local or remote hard disk.\r\n\r\nWe
    implemented our algorithm in a prototypical walkthrough system. Analysis and experiments
    show that the quality of our images is comparable to images computed by the conventional
    z-buffer algorithm regardless of the scene topology."
author:
- first_name: Jan
  full_name: Klein, Jan
  last_name: Klein
- first_name: Jens
  full_name: Krokowski, Jens
  last_name: Krokowski
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Michael
  full_name: Wand, Michael
  last_name: Wand
- first_name: Rolf
  full_name: Wanka, Rolf
  last_name: Wanka
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Klein J, Krokowski J, Fischer M, Wand M, Wanka R, Meyer auf der Heide F. The
    randomized sample tree: a data structure for interactive walkthroughs in externally
    stored virtual environments. In: <i>Proceedings of the ACM Symposium on Virtual
    Reality Software and Technology  - VRST ’02</i>. ; 2002. doi:<a href="https://doi.org/10.1145/585740.585764">10.1145/585740.585764</a>'
  apa: 'Klein, J., Krokowski, J., Fischer, M., Wand, M., Wanka, R., &#38; Meyer auf
    der Heide, F. (2002). The randomized sample tree: a data structure for interactive
    walkthroughs in externally stored virtual environments. In <i>Proceedings of the
    ACM symposium on Virtual reality software and technology  - VRST ’02</i>. <a href="https://doi.org/10.1145/585740.585764">https://doi.org/10.1145/585740.585764</a>'
  bibtex: '@inproceedings{Klein_Krokowski_Fischer_Wand_Wanka_Meyer auf der Heide_2002,
    title={The randomized sample tree: a data structure for interactive walkthroughs
    in externally stored virtual environments}, DOI={<a href="https://doi.org/10.1145/585740.585764">10.1145/585740.585764</a>},
    booktitle={Proceedings of the ACM symposium on Virtual reality software and technology 
    - VRST ’02}, author={Klein, Jan and Krokowski, Jens and Fischer, Matthias and
    Wand, Michael and Wanka, Rolf and Meyer auf der Heide, Friedhelm}, year={2002}
    }'
  chicago: 'Klein, Jan, Jens Krokowski, Matthias Fischer, Michael Wand, Rolf Wanka,
    and Friedhelm Meyer auf der Heide. “The Randomized Sample Tree: A Data Structure
    for Interactive Walkthroughs in Externally Stored Virtual Environments.” In <i>Proceedings
    of the ACM Symposium on Virtual Reality Software and Technology  - VRST ’02</i>,
    2002. <a href="https://doi.org/10.1145/585740.585764">https://doi.org/10.1145/585740.585764</a>.'
  ieee: 'J. Klein, J. Krokowski, M. Fischer, M. Wand, R. Wanka, and F. Meyer auf der
    Heide, “The randomized sample tree: a data structure for interactive walkthroughs
    in externally stored virtual environments,” in <i>Proceedings of the ACM symposium
    on Virtual reality software and technology  - VRST ’02</i>, 2002.'
  mla: 'Klein, Jan, et al. “The Randomized Sample Tree: A Data Structure for Interactive
    Walkthroughs in Externally Stored Virtual Environments.” <i>Proceedings of the
    ACM Symposium on Virtual Reality Software and Technology  - VRST ’02</i>, 2002,
    doi:<a href="https://doi.org/10.1145/585740.585764">10.1145/585740.585764</a>.'
  short: 'J. Klein, J. Krokowski, M. Fischer, M. Wand, R. Wanka, F. Meyer auf der
    Heide, in: Proceedings of the ACM Symposium on Virtual Reality Software and Technology 
    - VRST ’02, 2002.'
date_created: 2020-04-09T10:10:36Z
date_updated: 2022-01-06T06:52:51Z
department:
- _id: '63'
doi: 10.1145/585740.585764
language:
- iso: eng
publication: Proceedings of the ACM symposium on Virtual reality software and technology  -
  VRST '02
publication_identifier:
  isbn:
  - '1581135300'
publication_status: published
status: public
title: 'The randomized sample tree: a data structure for interactive walkthroughs
  in externally stored virtual environments'
type: conference
user_id: '15415'
year: '2002'
...
---
_id: '16491'
author:
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Christian
  full_name: Schindelhauer, Christian
  last_name: Schindelhauer
- first_name: Klaus
  full_name: Volbert, Klaus
  last_name: Volbert
- first_name: Matthias
  full_name: Grünewald, Matthias
  last_name: Grünewald
citation:
  ama: 'Meyer auf der Heide F, Schindelhauer C, Volbert K, Grünewald M. Energy, congestion
    and dilation in radio networks. In: <i>Proceedings of the Fourteenth Annual ACM
    Symposium on Parallel Algorithms and Architectures  - SPAA ’02</i>. ; 2002. doi:<a
    href="https://doi.org/10.1145/564870.564910">10.1145/564870.564910</a>'
  apa: Meyer auf der Heide, F., Schindelhauer, C., Volbert, K., &#38; Grünewald, M.
    (2002). Energy, congestion and dilation in radio networks. In <i>Proceedings of
    the fourteenth annual ACM symposium on Parallel algorithms and architectures 
    - SPAA ’02</i>. <a href="https://doi.org/10.1145/564870.564910">https://doi.org/10.1145/564870.564910</a>
  bibtex: '@inproceedings{Meyer auf der Heide_Schindelhauer_Volbert_Grünewald_2002,
    title={Energy, congestion and dilation in radio networks}, DOI={<a href="https://doi.org/10.1145/564870.564910">10.1145/564870.564910</a>},
    booktitle={Proceedings of the fourteenth annual ACM symposium on Parallel algorithms
    and architectures  - SPAA ’02}, author={Meyer auf der Heide, Friedhelm and Schindelhauer,
    Christian and Volbert, Klaus and Grünewald, Matthias}, year={2002} }'
  chicago: Meyer auf der Heide, Friedhelm, Christian Schindelhauer, Klaus Volbert,
    and Matthias Grünewald. “Energy, Congestion and Dilation in Radio Networks.” In
    <i>Proceedings of the Fourteenth Annual ACM Symposium on Parallel Algorithms and
    Architectures  - SPAA ’02</i>, 2002. <a href="https://doi.org/10.1145/564870.564910">https://doi.org/10.1145/564870.564910</a>.
  ieee: F. Meyer auf der Heide, C. Schindelhauer, K. Volbert, and M. Grünewald, “Energy,
    congestion and dilation in radio networks,” in <i>Proceedings of the fourteenth
    annual ACM symposium on Parallel algorithms and architectures  - SPAA ’02</i>,
    2002.
  mla: Meyer auf der Heide, Friedhelm, et al. “Energy, Congestion and Dilation in
    Radio Networks.” <i>Proceedings of the Fourteenth Annual ACM Symposium on Parallel
    Algorithms and Architectures  - SPAA ’02</i>, 2002, doi:<a href="https://doi.org/10.1145/564870.564910">10.1145/564870.564910</a>.
  short: 'F. Meyer auf der Heide, C. Schindelhauer, K. Volbert, M. Grünewald, in:
    Proceedings of the Fourteenth Annual ACM Symposium on Parallel Algorithms and
    Architectures  - SPAA ’02, 2002.'
date_created: 2020-04-09T10:30:23Z
date_updated: 2022-01-06T06:52:51Z
department:
- _id: '63'
doi: 10.1145/564870.564910
language:
- iso: eng
publication: Proceedings of the fourteenth annual ACM symposium on Parallel algorithms
  and architectures  - SPAA '02
publication_identifier:
  isbn:
  - '1581135297'
publication_status: published
status: public
title: Energy, congestion and dilation in radio networks
type: conference
user_id: '15415'
year: '2002'
...
---
_id: '16723'
author:
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Mohan
  full_name: Kumar, Mohan
  last_name: Kumar
- first_name: Sotiris
  full_name: Nikoletseas, Sotiris
  last_name: Nikoletseas
- first_name: Paul
  full_name: Spirakis, Paul
  last_name: Spirakis
citation:
  ama: 'Meyer auf der Heide F, Kumar M, Nikoletseas S, Spirakis P. Mobile Computing,
    Mobile Networks. In: <i>Euro-Par 2002 Parallel Processing</i>. Lecture Notes in
    Computer Science, vol 2400. Berlin, Heidelberg; 2002. doi:<a href="https://doi.org/10.1007/3-540-45706-2_133">10.1007/3-540-45706-2_133</a>'
  apa: Meyer auf der Heide, F., Kumar, M., Nikoletseas, S., &#38; Spirakis, P. (2002).
    Mobile Computing, Mobile Networks. In <i>Euro-Par 2002 Parallel Processing</i>
    (Lecture Notes in Computer Science, vol 2400). Berlin, Heidelberg. <a href="https://doi.org/10.1007/3-540-45706-2_133">https://doi.org/10.1007/3-540-45706-2_133</a>
  bibtex: '@inbook{Meyer auf der Heide_Kumar_Nikoletseas_Spirakis_2002, place={Berlin,
    Heidelberg}, edition={Lecture Notes in Computer Science, vol 2400}, title={Mobile
    Computing, Mobile Networks}, DOI={<a href="https://doi.org/10.1007/3-540-45706-2_133">10.1007/3-540-45706-2_133</a>},
    booktitle={Euro-Par 2002 Parallel Processing}, author={Meyer auf der Heide, Friedhelm
    and Kumar, Mohan and Nikoletseas, Sotiris and Spirakis, Paul}, year={2002} }'
  chicago: Meyer auf der Heide, Friedhelm, Mohan Kumar, Sotiris Nikoletseas, and Paul
    Spirakis. “Mobile Computing, Mobile Networks.” In <i>Euro-Par 2002 Parallel Processing</i>,
    Lecture Notes in Computer Science, vol 2400. Berlin, Heidelberg, 2002. <a href="https://doi.org/10.1007/3-540-45706-2_133">https://doi.org/10.1007/3-540-45706-2_133</a>.
  ieee: F. Meyer auf der Heide, M. Kumar, S. Nikoletseas, and P. Spirakis, “Mobile
    Computing, Mobile Networks,” in <i>Euro-Par 2002 Parallel Processing</i>, Lecture
    Notes in Computer Science, vol 2400., Berlin, Heidelberg, 2002.
  mla: Meyer auf der Heide, Friedhelm, et al. “Mobile Computing, Mobile Networks.”
    <i>Euro-Par 2002 Parallel Processing</i>, Lecture Notes in Computer Science, vol
    2400, 2002, doi:<a href="https://doi.org/10.1007/3-540-45706-2_133">10.1007/3-540-45706-2_133</a>.
  short: 'F. Meyer auf der Heide, M. Kumar, S. Nikoletseas, P. Spirakis, in: Euro-Par
    2002 Parallel Processing, Lecture Notes in Computer Science, vol 2400, Berlin,
    Heidelberg, 2002.'
date_created: 2020-04-17T11:40:33Z
date_updated: 2022-01-06T06:52:55Z
department:
- _id: '63'
doi: 10.1007/3-540-45706-2_133
edition: Lecture Notes in Computer Science, vol 2400
language:
- iso: eng
place: Berlin, Heidelberg
publication: Euro-Par 2002 Parallel Processing
publication_identifier:
  isbn:
  - '9783540440499'
  - '9783540457060'
  issn:
  - 0302-9743
publication_status: published
status: public
title: Mobile Computing, Mobile Networks
type: book_chapter
user_id: '15415'
year: '2002'
...
---
_id: '19622'
author:
- first_name: Klaus
  full_name: Schröder, Klaus
  last_name: Schröder
citation:
  ama: 'Schröder K. <i>Balls into Bins: A Paradigm for Job Allocation, Data Distribution
    Processes, and Routing</i>. Vol 89. Verlagsschriftenreihe des Heinz Nixdorf Instituts,
    Paderborn; 2001.'
  apa: 'Schröder, K. (2001). <i>Balls into Bins: A Paradigm for Job Allocation, Data
    Distribution Processes, and Routing</i> (Vol. 89). Verlagsschriftenreihe des Heinz
    Nixdorf Instituts, Paderborn.'
  bibtex: '@book{Schröder_2001, series={Verlagsschriftenreihe des Heinz Nixdorf Instituts,
    Paderborn}, title={Balls into Bins: A Paradigm for Job Allocation, Data Distribution
    Processes, and Routing}, volume={89}, publisher={Verlagsschriftenreihe des Heinz
    Nixdorf Instituts, Paderborn}, author={Schröder, Klaus}, year={2001}, collection={Verlagsschriftenreihe
    des Heinz Nixdorf Instituts, Paderborn} }'
  chicago: 'Schröder, Klaus. <i>Balls into Bins: A Paradigm for Job Allocation, Data
    Distribution Processes, and Routing</i>. Vol. 89. Verlagsschriftenreihe Des Heinz
    Nixdorf Instituts, Paderborn. Verlagsschriftenreihe des Heinz Nixdorf Instituts,
    Paderborn, 2001.'
  ieee: 'K. Schröder, <i>Balls into Bins: A Paradigm for Job Allocation, Data Distribution
    Processes, and Routing</i>, vol. 89. Verlagsschriftenreihe des Heinz Nixdorf Instituts,
    Paderborn, 2001.'
  mla: 'Schröder, Klaus. <i>Balls into Bins: A Paradigm for Job Allocation, Data Distribution
    Processes, and Routing</i>. Verlagsschriftenreihe des Heinz Nixdorf Instituts,
    Paderborn, 2001.'
  short: 'K. Schröder, Balls into Bins: A Paradigm for Job Allocation, Data Distribution
    Processes, and Routing, Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn,
    2001.'
date_created: 2020-09-22T10:18:39Z
date_updated: 2022-01-06T06:54:08Z
department:
- _id: '63'
- _id: '26'
intvolume: '        89'
language:
- iso: eng
publication_identifier:
  isbn:
  - 3-931466-88-4
publisher: Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn
related_material:
  link:
  - relation: confirmation
    url: http://nbn-resolving.de/urn:nbn:de:hbz:466-20010101222
series_title: Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn
status: public
supervisor:
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
title: 'Balls into Bins: A Paradigm for Job Allocation, Data Distribution Processes,
  and Routing'
type: dissertation
user_id: '5786'
volume: 89
year: '2001'
...
---
_id: '19797'
author:
- first_name: Kay
  full_name: Salzwedel, Kay
  last_name: Salzwedel
- first_name: Georg
  full_name: Hartmann, Georg
  last_name: Hartmann
- first_name: Carsten
  full_name: Wolff, Carsten
  last_name: Wolff
- first_name: Robert
  full_name: Preis, Robert
  last_name: Preis
citation:
  ama: 'Salzwedel K, Hartmann G, Wolff C, Preis R. Efficient Parallel Simulations
    of Pulse-Coded Neural Networks (PCNN). In: <i>Proceedings of the PDPTA 2001</i>.
    Vol 1. ; 2001:463-470.'
  apa: Salzwedel, K., Hartmann, G., Wolff, C., &#38; Preis, R. (2001). Efficient Parallel
    Simulations of Pulse-Coded Neural Networks (PCNN). In <i>Proceedings of the PDPTA
    2001</i> (Vol. 1, pp. 463–470).
  bibtex: '@inproceedings{Salzwedel_Hartmann_Wolff_Preis_2001, title={Efficient Parallel
    Simulations of Pulse-Coded Neural Networks (PCNN)}, volume={1}, booktitle={Proceedings
    of the PDPTA 2001}, author={Salzwedel, Kay and Hartmann, Georg and Wolff, Carsten
    and Preis, Robert}, year={2001}, pages={463–470} }'
  chicago: Salzwedel, Kay, Georg Hartmann, Carsten Wolff, and Robert Preis. “Efficient
    Parallel Simulations of Pulse-Coded Neural Networks (PCNN).” In <i>Proceedings
    of the PDPTA 2001</i>, 1:463–70, 2001.
  ieee: K. Salzwedel, G. Hartmann, C. Wolff, and R. Preis, “Efficient Parallel Simulations
    of Pulse-Coded Neural Networks (PCNN),” in <i>Proceedings of the PDPTA 2001</i>,
    2001, vol. 1, pp. 463–470.
  mla: Salzwedel, Kay, et al. “Efficient Parallel Simulations of Pulse-Coded Neural
    Networks (PCNN).” <i>Proceedings of the PDPTA 2001</i>, vol. 1, 2001, pp. 463–70.
  short: 'K. Salzwedel, G. Hartmann, C. Wolff, R. Preis, in: Proceedings of the PDPTA
    2001, 2001, pp. 463–470.'
date_created: 2020-09-30T12:34:44Z
date_updated: 2022-01-06T06:54:12Z
department:
- _id: '63'
- _id: '70'
intvolume: '         1'
language:
- iso: eng
page: 463-470
publication: Proceedings of the PDPTA 2001
status: public
title: Efficient Parallel Simulations of Pulse-Coded Neural Networks (PCNN)
type: conference
user_id: '15415'
volume: 1
year: '2001'
...
---
_id: '2139'
author:
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Christian
  full_name: Scheideler, Christian
  id: '20792'
  last_name: Scheideler
citation:
  ama: 'Meyer auf der Heide F, Scheideler C. Deterministic Routing With Bounded Buffers:
    Turning Offline Into Online Protocols. <i>Combinatorica</i>. 2001;21(1):95--138.
    doi:<a href="https://doi.org/10.1007/s004930170007">10.1007/s004930170007</a>'
  apa: 'Meyer auf der Heide, F., &#38; Scheideler, C. (2001). Deterministic Routing
    With Bounded Buffers: Turning Offline Into Online Protocols. <i>Combinatorica</i>,
    <i>21</i>(1), 95--138. <a href="https://doi.org/10.1007/s004930170007">https://doi.org/10.1007/s004930170007</a>'
  bibtex: '@article{Meyer auf der Heide_Scheideler_2001, title={Deterministic Routing
    With Bounded Buffers: Turning Offline Into Online Protocols}, volume={21}, DOI={<a
    href="https://doi.org/10.1007/s004930170007">10.1007/s004930170007</a>}, number={1},
    journal={Combinatorica}, author={Meyer auf der Heide, Friedhelm and Scheideler,
    Christian}, year={2001}, pages={95--138} }'
  chicago: 'Meyer auf der Heide, Friedhelm, and Christian Scheideler. “Deterministic
    Routing With Bounded Buffers: Turning Offline Into Online Protocols.” <i>Combinatorica</i>
    21, no. 1 (2001): 95--138. <a href="https://doi.org/10.1007/s004930170007">https://doi.org/10.1007/s004930170007</a>.'
  ieee: 'F. Meyer auf der Heide and C. Scheideler, “Deterministic Routing With Bounded
    Buffers: Turning Offline Into Online Protocols,” <i>Combinatorica</i>, vol. 21,
    no. 1, pp. 95--138, 2001.'
  mla: 'Meyer auf der Heide, Friedhelm, and Christian Scheideler. “Deterministic Routing
    With Bounded Buffers: Turning Offline Into Online Protocols.” <i>Combinatorica</i>,
    vol. 21, no. 1, 2001, pp. 95--138, doi:<a href="https://doi.org/10.1007/s004930170007">10.1007/s004930170007</a>.'
  short: F. Meyer auf der Heide, C. Scheideler, Combinatorica 21 (2001) 95--138.
date_created: 2018-04-03T05:47:20Z
date_updated: 2022-01-06T06:54:57Z
department:
- _id: '79'
- _id: '63'
doi: 10.1007/s004930170007
intvolume: '        21'
issue: '1'
language:
- iso: eng
page: 95--138
publication: Combinatorica
status: public
title: 'Deterministic Routing With Bounded Buffers: Turning Offline Into Online Protocols'
type: journal_article
user_id: '14955'
volume: 21
year: '2001'
...
---
_id: '2141'
author:
- first_name: Petra
  full_name: Berenbrink, Petra
  last_name: Berenbrink
- first_name: André
  full_name: Brinkmann, André
  last_name: Brinkmann
- first_name: Christian
  full_name: Scheideler, Christian
  id: '20792'
  last_name: Scheideler
citation:
  ama: 'Berenbrink P, Brinkmann A, Scheideler C. SIMLAB-A Simulation Environment for
    Storage Area Networks. In: <i>PDP</i>. IEEE Computer Society; 2001:227--234.'
  apa: Berenbrink, P., Brinkmann, A., &#38; Scheideler, C. (2001). SIMLAB-A Simulation
    Environment for Storage Area Networks. In <i>PDP</i> (pp. 227--234). IEEE Computer
    Society.
  bibtex: '@inproceedings{Berenbrink_Brinkmann_Scheideler_2001, title={SIMLAB-A Simulation
    Environment for Storage Area Networks}, booktitle={PDP}, publisher={IEEE Computer
    Society}, author={Berenbrink, Petra and Brinkmann, André and Scheideler, Christian},
    year={2001}, pages={227--234} }'
  chicago: Berenbrink, Petra, André Brinkmann, and Christian Scheideler. “SIMLAB-A
    Simulation Environment for Storage Area Networks.” In <i>PDP</i>, 227--234. IEEE
    Computer Society, 2001.
  ieee: P. Berenbrink, A. Brinkmann, and C. Scheideler, “SIMLAB-A Simulation Environment
    for Storage Area Networks,” in <i>PDP</i>, 2001, pp. 227--234.
  mla: Berenbrink, Petra, et al. “SIMLAB-A Simulation Environment for Storage Area
    Networks.” <i>PDP</i>, IEEE Computer Society, 2001, pp. 227--234.
  short: 'P. Berenbrink, A. Brinkmann, C. Scheideler, in: PDP, IEEE Computer Society,
    2001, pp. 227--234.'
date_created: 2018-04-03T05:49:21Z
date_updated: 2022-01-06T06:54:59Z
ddc:
- '040'
department:
- _id: '79'
- _id: '63'
file:
- access_level: open_access
  content_type: application/pdf
  creator: florida
  date_created: 2018-04-12T08:39:01Z
  date_updated: 2018-04-12T08:39:01Z
  file_id: '2298'
  file_name: PDP-00.pdf
  file_size: 85778
  relation: main_file
file_date_updated: 2018-04-12T08:39:01Z
has_accepted_license: '1'
language:
- iso: eng
oa: '1'
page: 227--234
publication: PDP
publisher: IEEE Computer Society
status: public
title: SIMLAB-A Simulation Environment for Storage Area Networks
type: conference
urn: '21415'
user_id: '14955'
year: '2001'
...
---
_id: '18749'
author:
- first_name: Artur
  full_name: Czumaj, Artur
  last_name: Czumaj
- first_name: Christian
  full_name: Sohler, Christian
  last_name: Sohler
citation:
  ama: Czumaj A, Sohler C. Testing Hypergraph Coloring. <i>Proceedings of the 28th
    International Colloquium on Automata, Languages and Programming (ICALP)</i>. 2001:493-505.
    doi:<a href="https://doi.org/10.1007/3-540-48224-5_41">10.1007/3-540-48224-5_41</a>
  apa: Czumaj, A., &#38; Sohler, C. (2001). Testing Hypergraph Coloring. <i>Proceedings
    of the 28th International Colloquium on Automata, Languages and Programming (ICALP)</i>,
    493–505. <a href="https://doi.org/10.1007/3-540-48224-5_41">https://doi.org/10.1007/3-540-48224-5_41</a>
  bibtex: '@article{Czumaj_Sohler_2001, title={Testing Hypergraph Coloring}, DOI={<a
    href="https://doi.org/10.1007/3-540-48224-5_41">10.1007/3-540-48224-5_41</a>},
    journal={Proceedings of the 28th International Colloquium on Automata, Languages
    and Programming (ICALP)}, author={Czumaj, Artur and Sohler, Christian}, year={2001},
    pages={493–505} }'
  chicago: Czumaj, Artur, and Christian Sohler. “Testing Hypergraph Coloring.” <i>Proceedings
    of the 28th International Colloquium on Automata, Languages and Programming (ICALP)</i>,
    2001, 493–505. <a href="https://doi.org/10.1007/3-540-48224-5_41">https://doi.org/10.1007/3-540-48224-5_41</a>.
  ieee: A. Czumaj and C. Sohler, “Testing Hypergraph Coloring,” <i>Proceedings of
    the 28th International Colloquium on Automata, Languages and Programming (ICALP)</i>,
    pp. 493–505, 2001.
  mla: Czumaj, Artur, and Christian Sohler. “Testing Hypergraph Coloring.” <i>Proceedings
    of the 28th International Colloquium on Automata, Languages and Programming (ICALP)</i>,
    2001, pp. 493–505, doi:<a href="https://doi.org/10.1007/3-540-48224-5_41">10.1007/3-540-48224-5_41</a>.
  short: A. Czumaj, C. Sohler, Proceedings of the 28th International Colloquium on
    Automata, Languages and Programming (ICALP) (2001) 493–505.
date_created: 2020-09-01T10:48:38Z
date_updated: 2022-01-06T06:53:51Z
department:
- _id: '63'
doi: 10.1007/3-540-48224-5_41
language:
- iso: eng
page: 493-505
publication: Proceedings of the 28th International Colloquium on Automata, Languages
  and Programming (ICALP)
publication_identifier:
  isbn:
  - '9783540422877'
  - '9783540482246'
  issn:
  - 0302-9743
publication_status: published
status: public
title: Testing Hypergraph Coloring
type: journal_article
user_id: '15415'
year: '2001'
...
---
_id: '18750'
author:
- first_name: Christian
  full_name: Sohler, Christian
  last_name: Sohler
- first_name: Artur
  full_name: Czumaj, Artur
  last_name: Czumaj
citation:
  ama: 'Sohler C, Czumaj A. Soft Kinetic Data Structures. In: <i>Proceedings of the
    12th ACM-SIAM Symposium on Discrete Algorithms</i>. ; 2001:865-872.'
  apa: Sohler, C., &#38; Czumaj, A. (2001). Soft Kinetic Data Structures. In <i>Proceedings
    of the 12th ACM-SIAM Symposium on Discrete Algorithms</i> (pp. 865–872).
  bibtex: '@inproceedings{Sohler_Czumaj_2001, title={Soft Kinetic Data Structures},
    booktitle={Proceedings of the 12th ACM-SIAM Symposium on Discrete Algorithms},
    author={Sohler, Christian and Czumaj, Artur}, year={2001}, pages={865–872} }'
  chicago: Sohler, Christian, and Artur Czumaj. “Soft Kinetic Data Structures.” In
    <i>Proceedings of the 12th ACM-SIAM Symposium on Discrete Algorithms</i>, 865–72,
    2001.
  ieee: C. Sohler and A. Czumaj, “Soft Kinetic Data Structures,” in <i>Proceedings
    of the 12th ACM-SIAM Symposium on Discrete Algorithms</i>, 2001, pp. 865–872.
  mla: Sohler, Christian, and Artur Czumaj. “Soft Kinetic Data Structures.” <i>Proceedings
    of the 12th ACM-SIAM Symposium on Discrete Algorithms</i>, 2001, pp. 865–72.
  short: 'C. Sohler, A. Czumaj, in: Proceedings of the 12th ACM-SIAM Symposium on
    Discrete Algorithms, 2001, pp. 865–872.'
date_created: 2020-09-01T10:56:39Z
date_updated: 2022-01-06T06:53:51Z
department:
- _id: '63'
language:
- iso: eng
page: 865-872
publication: Proceedings of the 12th ACM-SIAM Symposium on Discrete Algorithms
status: public
title: Soft Kinetic Data Structures
type: conference
user_id: '15415'
year: '2001'
...
---
_id: '18857'
abstract:
- lang: eng
  text: "This paper investigates geometric problems in the context of property testing
    algorithms. Property testing is an emerging area in computer science in which
    one is aiming at verifying whether a given object has a predetermined property
    or is “far” from any object having the property. Although there has been some
    research previously done in testing geometric properties, prior works have been
    mostly dealing with the study of combinatorial notion of the distance defining
    whether an object is “far” or it is “close”; very little research has been done
    for geometric notion of distance measures, that is, distance measures that are
    based on the geometry underlying input objects.\r\n\r\nThe main objective of this
    work is to develop sound models to study geometric problems in the context of
    property testing. Comparing to the previous work in property testing, there are
    two novel aspects developed in this paper: geometric measures of being close to
    an object having the predetermined property, and the use of geometric data structures
    as basic primitives to design the testers. We believe that the second aspect is
    of special importance in the context of property testing and that the use of specialized
    data structures as basic primitives in the testers can be applied to other important
    problems in this area.\r\n\r\nWe shall discuss a number of models that in our
    opinion fit best geometric problems and apply them to study geometric properties
    for three very fundamental and representative problems in the area: testing convex
    position, testing map labeling, and testing clusterability."
author:
- first_name: Christian
  full_name: Sohler, Christian
  last_name: Sohler
- first_name: Artur
  full_name: Czumaj, Artur
  last_name: Czumaj
citation:
  ama: Sohler C, Czumaj A. Property Testing with Geometric Queries. <i>Proceedings
    of the 9th Annual European Symposium on Algorithms (ESA`01)</i>. 2001:266-277.
    doi:<a href="https://doi.org/10.1007/3-540-44676-1_22">10.1007/3-540-44676-1_22</a>
  apa: Sohler, C., &#38; Czumaj, A. (2001). Property Testing with Geometric Queries.
    <i>Proceedings of the 9th Annual European Symposium on Algorithms (ESA`01)</i>,
    266–277. <a href="https://doi.org/10.1007/3-540-44676-1_22">https://doi.org/10.1007/3-540-44676-1_22</a>
  bibtex: '@article{Sohler_Czumaj_2001, title={Property Testing with Geometric Queries},
    DOI={<a href="https://doi.org/10.1007/3-540-44676-1_22">10.1007/3-540-44676-1_22</a>},
    journal={Proceedings of the 9th Annual European Symposium on Algorithms (ESA`01)},
    author={Sohler, Christian and Czumaj, Artur}, year={2001}, pages={266–277} }'
  chicago: Sohler, Christian, and Artur Czumaj. “Property Testing with Geometric Queries.”
    <i>Proceedings of the 9th Annual European Symposium on Algorithms (ESA`01)</i>,
    2001, 266–77. <a href="https://doi.org/10.1007/3-540-44676-1_22">https://doi.org/10.1007/3-540-44676-1_22</a>.
  ieee: C. Sohler and A. Czumaj, “Property Testing with Geometric Queries,” <i>Proceedings
    of the 9th Annual European Symposium on Algorithms (ESA`01)</i>, pp. 266–277,
    2001.
  mla: Sohler, Christian, and Artur Czumaj. “Property Testing with Geometric Queries.”
    <i>Proceedings of the 9th Annual European Symposium on Algorithms (ESA`01)</i>,
    2001, pp. 266–77, doi:<a href="https://doi.org/10.1007/3-540-44676-1_22">10.1007/3-540-44676-1_22</a>.
  short: C. Sohler, A. Czumaj, Proceedings of the 9th Annual European Symposium on
    Algorithms (ESA`01) (2001) 266–277.
date_created: 2020-09-02T12:24:25Z
date_updated: 2022-01-06T06:53:53Z
department:
- _id: '63'
doi: 10.1007/3-540-44676-1_22
language:
- iso: eng
page: 266-277
publication: Proceedings of the 9th Annual European Symposium on Algorithms (ESA`01)
status: public
title: Property Testing with Geometric Queries
type: journal_article
user_id: '15415'
year: '2001'
...
---
_id: '18964'
author:
- first_name: Tamás
  full_name: Lukovszki, Tamás
  last_name: Lukovszki
- first_name: Anil
  full_name: Maheshwari, Anil
  last_name: Maheshwari
- first_name: Norbert
  full_name: Zeh, Norbert
  last_name: Zeh
citation:
  ama: 'Lukovszki T, Maheshwari A, Zeh N. I/O-Efficient Batched Range Counting and
    Its Applications to Proximity Problems. In: <i>Proceedings of the 21st Annual
    Conference on Foundations of Software Technology and Theoretical Computer Science
    (FSTTCS 2001), LNCS</i>. ; 2001. doi:<a href="https://doi.org/10.1007/3-540-45294-x_21">10.1007/3-540-45294-x_21</a>'
  apa: Lukovszki, T., Maheshwari, A., &#38; Zeh, N. (2001). I/O-Efficient Batched
    Range Counting and Its Applications to Proximity Problems. In <i>Proceedings of
    the 21st Annual Conference on Foundations of Software Technology and Theoretical
    Computer Science (FSTTCS 2001), LNCS</i>. <a href="https://doi.org/10.1007/3-540-45294-x_21">https://doi.org/10.1007/3-540-45294-x_21</a>
  bibtex: '@inproceedings{Lukovszki_Maheshwari_Zeh_2001, title={I/O-Efficient Batched
    Range Counting and Its Applications to Proximity Problems}, DOI={<a href="https://doi.org/10.1007/3-540-45294-x_21">10.1007/3-540-45294-x_21</a>},
    booktitle={Proceedings of the 21st Annual Conference on Foundations of Software
    Technology and Theoretical Computer Science (FSTTCS 2001), LNCS}, author={Lukovszki,
    Tamás and Maheshwari, Anil and Zeh, Norbert}, year={2001} }'
  chicago: Lukovszki, Tamás, Anil Maheshwari, and Norbert Zeh. “I/O-Efficient Batched
    Range Counting and Its Applications to Proximity Problems.” In <i>Proceedings
    of the 21st Annual Conference on Foundations of Software Technology and Theoretical
    Computer Science (FSTTCS 2001), LNCS</i>, 2001. <a href="https://doi.org/10.1007/3-540-45294-x_21">https://doi.org/10.1007/3-540-45294-x_21</a>.
  ieee: T. Lukovszki, A. Maheshwari, and N. Zeh, “I/O-Efficient Batched Range Counting
    and Its Applications to Proximity Problems,” in <i>Proceedings of the 21st Annual
    Conference on Foundations of Software Technology and Theoretical Computer Science
    (FSTTCS 2001), LNCS</i>, 2001.
  mla: Lukovszki, Tamás, et al. “I/O-Efficient Batched Range Counting and Its Applications
    to Proximity Problems.” <i>Proceedings of the 21st Annual Conference on Foundations
    of Software Technology and Theoretical Computer Science (FSTTCS 2001), LNCS</i>,
    2001, doi:<a href="https://doi.org/10.1007/3-540-45294-x_21">10.1007/3-540-45294-x_21</a>.
  short: 'T. Lukovszki, A. Maheshwari, N. Zeh, in: Proceedings of the 21st Annual
    Conference on Foundations of Software Technology and Theoretical Computer Science
    (FSTTCS 2001), LNCS, 2001.'
date_created: 2020-09-03T13:26:01Z
date_updated: 2022-01-06T06:53:55Z
department:
- _id: '63'
doi: 10.1007/3-540-45294-x_21
language:
- iso: eng
publication: Proceedings of the 21st Annual Conference on Foundations of Software
  Technology and Theoretical Computer Science (FSTTCS 2001), LNCS
publication_identifier:
  isbn:
  - '9783540430025'
  - '9783540452942'
  issn:
  - 0302-9743
publication_status: published
status: public
title: I/O-Efficient Batched Range Counting and Its Applications to Proximity Problems
type: conference
user_id: '15415'
year: '2001'
...
