@inproceedings{18566,
abstract = {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.
We 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
(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 = {Adler, Micah and Räcke, Harald and Sivadasan, Naveen and Sohler, Christian and Vöcking, Berthold},
booktitle = {Proceedings of the 29th International Colloquium on Automata, Languages and Programming},
isbn = {9783540438649},
issn = {0302-9743},
title = {{Randomized Pursuit-Evasion in Graphs}},
doi = {10.1007/3-540-45465-9_77},
year = {2002},
}
@misc{18756,
author = {Peckhaus, Volker},
booktitle = {Mathematical Reviews [MR 2002h:01005]},
title = {{Degnan, Michael J., “What is the Scope of Aristotle’s Defense of the PNC”, Apeiron 32 (1999), no. 3, 243–274}},
year = {2002},
}
@misc{18751,
author = {Peckhaus, Volker},
booktitle = {Mathematical Reviews [MR 2002h:01001]},
title = {{Thom, Paul, “The Principle of Non-contradiction in Early Greek Philosophy”, Apeiron 32 (1999), no. 3, 153–170}},
year = {2002},
}
@article{19362,
author = {Eke, Norbert Otto},
journal = {Text + Kritik, H. 155: Herta Müller},
number = {Juli},
pages = {64--79},
title = {{Schönheit der Verwund(er)ung. Herta Müllers Weg zum Gedicht}},
year = {2002},
}
@phdthesis{18573,
author = {Sohler, Christian},
isbn = {3-935433-28-X},
title = {{Property Testing and Geometry}},
year = {2002},
}
@inproceedings{19850,
author = {Wanka, Rolf},
booktitle = {Proc. Workshop on Graph-Theoretic Concepts in Computer Science (WG)},
isbn = {9783540003311},
issn = {0302-9743},
pages = {413--420},
title = {{Any Load-Balancing Regimen for Evolving Tree Computations on Circulant Graphs Is Asymptotically Optimal}},
doi = {10.1007/3-540-36379-3_36},
year = {2002},
}
@inproceedings{2136,
author = {Brinkmann, André and Salzwedel, Kay and Scheideler, Christian},
booktitle = {SPAA},
pages = {53----62},
title = {{Compact, adaptive placement schemes for non-uniform requirements}},
year = {2002},
}
@article{22620,
author = {de los Arcos, T. and Vonau, F. and Garnier, M. G. and Thommen, V. and Boyen, H.-G. and Oelhafen, P. and Düggelin, M. and Mathis, D. and Guggenheim, R.},
issn = {0003-6951},
journal = {Applied Physics Letters},
pages = {2383--2385},
title = {{Influence of iron–silicon interaction on the growth of carbon nanotubes produced by chemical vapor deposition}},
doi = {10.1063/1.1465529},
year = {2002},
}
@article{23344,
author = {Fischer, Gerd and Heyken, Reent and Trächtler, Ansgar},
journal = {ATZ Worldwide 104},
pages = {7--10,},
title = {{Active stabilisation of the car-trailer combination with BMW X5 An innovative further improvement of the dynamic stability control DSC for active damping of trailer sway movements}},
year = {2002},
}
@phdthesis{24599,
author = {Goldschmidt, Stefan},
publisher = {Heinz Nixdorf Institut, Universität Paderborn},
title = {{Anwendung mengenorientierter numerischer Methoden zur Analyse nichtlinearer dynamischer Systeme am Beispiel der Spurführungsdynamik von Schienenfahrzeugen}},
volume = {112},
year = {2002},
}