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77
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COMPGEOM
1995
ACM
15 years 1 months ago
Searching for the Kernel of a Polygon - A Competitive Strategy
We present a competitive strategy for walking into the kernel of an initially unknown star-shaped polygon. From an arbitrary start point, s, within the polygon, our strategy find...
Christian Icking, Rolf Klein
COMPGEOM
1994
ACM
15 years 1 months ago
Competitive Searching in a Generalized Street
We consider the problem of a robot which has to find a target in an unknown simple polygon, based only on what it has seen so far. A street is a polygon for which the two boundary...
Amitava Datta, Christian Icking
DAGSTUHL
1994
14 years 10 months ago
Competitive Strategies for Autonomous Systems
A strategy for working with incomplete information is called competitive if it solves each problem instance at a cost not exceeding the cost of an optimal solution (with full info...
Christian Icking, Rolf Klein
75
Voted
STACS
1999
Springer
15 years 1 months ago
An Optimal Competitive Strategy for Walking in Streets
We present an optimal strategy for searching for a goal in a street which achieves the competitive factor of √ 2, thus matching the best lower bound known before. This finally ...
Christian Icking, Rolf Klein, Elmar Langetepe
61
Voted
ESA
2004
Springer
98views Algorithms» more  ESA 2004»
15 years 2 months ago
Competitive Online Approximation of the Optimal Search Ratio
How efficiently can we search an unknown environment for a goal in unknown position? How much would it help if the environment were known? We answer these questions for simple poly...
Rudolf Fleischer, Thomas Kamphans, Rolf Klein, Elm...