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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. We model the environment by an unknown directed graph G, and consider the problem of a robot exploring and mapping G. We do not assume that the... (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" }
Citations (may not include all citations):
144   Switching and Finite Automata Theory (context) - Kohavi - 1978
109   Inference of finite automata using homing sequences (context) - Rivest, Schapire - 1993
83   Navigating in unfamiliar geometric terrain - Blum, Raghavan et al. - 1991
65   Exploring an unknown graph (context) - Deng, Papadimtriou - 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
45   Piecemeal learning of an unknown environment - Betke, Rivest et al. - 1993
45   How to learn an unknown environment (context) - Deng, Kameda et al. - 1991
36   Efficient learning of typical finite automata from random wa.. - Freund, Kearns et al. - 1993
34   Information and Computation (context) - Baeza-Yates, Culberson et al. - 1993
31   The power of team exploration: Two robots can learn unlabele.. - Bender, Slonim - 1994
30   Exploring unknown environments - Albers, Henzinger - 1997
28   line navigation in a room (context) - Bar-Eli, Berman et al. - 1992
27   Randomized robot navigation algorithms - Berman, Blum et al. - 1996
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
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
5   Computer Graphics and Image Processing (context) - Shah, on - 1974
4   Traversal problems for certain types of deterministic and no.. (context) - Reyzin - 1992
4   Mathematical Institute of the Academy of Sciences (context) - Anjan, PhD - 1987
4   Maze threading automata (context) - Rabin - 1967
4   Exactly learning automata of small cover time - Ron, Rubinfeld - 1997
4   the behavior of automata in labyrinths (context) - Kudryavtsev, Ushchumlich et al. - 1993
4   A survey of the problem of learning an unknown environment (context) - Zhang - 1994



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