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The Power of a Pebble: Exploring and Mapping Directed Graphs (1998)  (Make Corrections)  (26 citations)
Michael A. Bender, Antonio Fernández, Dana Ron, Amit Sahai, Salil Vadhan



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Abstract: Exploring and mapping an unknown environment is a fundamental problem that is studied in a variety of contexts. Many works have focused on finding efficient solutions to restricted versions of the problem. In this paper, we consider a model that makes very limited assumptions about the environment and solve the mapping problem in this general setting. (Update)

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BibTeX entry:   (Update)

M. A. Bender, A. Fernandez, D. Ron A. Sahai, and S. Vadhan. The power of a pebble: Exploring and mapping directed graphs. In Proc. Annual Symposium on Foundations of Computer Science, 1998. http://citeseer.ist.psu.edu/article/bender98power.html   More

@inproceedings{ bender98power,
    author = "Michael A. Bender and Antonio Fern{\'a}ndez and Dana Ron and Amit Sahai and Salil Vadhan",
    title = "The power of a pebble: exploring and mapping directed graphs",
    pages = "269--278",
    year = "1998",
    url = "citeseer.ist.psu.edu/article/bender98power.html" }
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144   Switching and Finite Automata Theory (context) - Kohavi - 1978
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83   Navigating in unfamiliar geometric terrain - Blum, Raghavan et al. - 1997
74   Robotic exploration as graph construction (context) - Dudek, Jenkin et al. - 1991
65   Exploring an unknown graph (context) - Deng, Papadimitriou - 1990
53   Theoretical Computer Science (context) - Papadimitriou, Yannakakis et al. - 1991
53   Diversity-based inference of finite automata - Rivest, Schapire - 1994
46   Inferring finite automata with stochastic output functions a.. - Dean, Angluin et al. - 1995
46   How to learn an unknown environment I: The rectilinear case - Deng, Kameda et al. - 1998
45   Piecemeal learning of an unknown environment - Betke, Rivest et al. - 1995
36   Efficient learning of typical finite automata from random wa.. - Freund, Kearns et al. - 1997
31   The power of team exploration: Two robots can learn unlabele.. - Bender, Slonim - 1994
31   Information and Computation (context) - Baeza-Yates, Culberson et al. - 1993
30   Exploring unknown environments - Albers, Henzinger - 1997
27   Randomized robot navigation algorithms - Berman, Blum et al. - 1996
26   The power of a pebble: Exploring and mapping directed graphs - Bender, Fern'andez et al. - 1998
26   line algorithm for improving performance in navigation - Blum, Chalasani - 1993
25   why mazes are easier to search than graphs (context) - Blum, Kozen et al. - 1978
20   Competitive robot mapping with homogeneous markers - Deng, Mirzaian - 1996
19   Uncertainty in graph-based map learning (context) - Dean, Basye et al. - 1992
18   A competitive strategy for learning a polygon (context) - Hoffman, Icking et al. - 1997
17   Exploring unknown undirected graphs (context) - Panaite, Pelc - 1998
16   Piecemeal graph exploration by a mobile robot - Awerbuch, Betke et al. - 1995
15   Efficient algorithms for learning to play repeated games aga.. - Freund, Kearns et al. - 1995
14   the capability of finite automata in 2 and 3 dimensional spa.. (context) - Blum, Sakoda - 1977
11   Robot navigation with range queries (context) - Angluin, Westbrook et al. - 1996
10   Map validation and robot self-location in a graph-like world - Dudek, Jenkin et al. - 1997
5   Computer Graphics and Image Processing (context) - Shah, on - 1974
4   Maze threading automata (context) - Rabin - 1967
4   Exactly learning automata of small cover time - Ron, Rubinfeld - 1997
4   Mathematical Institute of the Academy of Sciences (context) - Anjan, PhD - 1987
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4   A survey of the problem of learning an unknown environment (context) - Zhang - 1994
4   Traversal problems for certain types of deterministic and no.. (context) - Reyzin - 1992
3   Online navigation in a room (context) - Bar-Eli, Berman et al. - 1994
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