(Enter summary)
Abstract: We initiate a study of random walks on undirected graphs with colored edges. In our
model, a sequence of colors is specified before the walk begins, and it dictates the color of
edge to be followed at each step. We give tight upper and lower bounds on the expected
cover time of a random walk on an undirected graph with colored edges. We show that,
in general, graphs with two colors have exponential expected cover time, and graphs with
three or more colors have doubly-exponential expected cover... (Update)
Context of citations to this paper: More
...the theory of nonhomogeneous Markov chains and coding and information theory. Many of the results have appeared in the papers [9] and [8]. We begin in Chapter 2 with an investigation of the expected cover time of random walks on colored graphs. The cover time of the colored...
...has written fewer papers than Paul Erdos, otherwise (why ) it would be preferable to do the random walk in the other direction. Miscellaneous. Condon and Hernek [14] study cover times in the following setting. The edges of a graph are colored, a sequence (c t ) of colors...
Cited by: More
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Random Walks on Colored Graphs: Analysis and Applications - Hernek (1995)
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2: Bounds on the cover time
- Broder, Karlin - 1989
BibTeX entry: (Update)
A. Condon and D. Hernek. Random walks on colored graphs. In Proc. 2nd Israel Symposium on Theory and Computing Systems, pages 134--140, 1993. http://citeseer.ist.psu.edu/article/condon94random.html More
@inproceedings{ condon93random,
author = "Anne Condon and Diane Hernek",
title = "Random Walks on Colored Graphs",
booktitle = "Israel Symposium on Theory of Computing Systems",
pages = "134-140",
year = "1993",
url = "citeseer.ist.psu.edu/article/condon94random.html" }
Citations (may not include all citations):
403
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the complexity of space-bounded interactive proofs (context) - Condon, Lipton - 1989
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Finite state verifiers I: The power of interaction (context) - Dwork, Stockmeyer - 1992
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Bounds on the cover time
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Definite and quasi-definite sets of stochastic matrices (context) - Paz - 1965
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Documents on the same site (http://www.cs.wisc.edu/~condon/): More
On the Power of Finite Automata with both.. - Condon, Hellerstein, al. (1994)
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Complexity of Sub-Bus Mesh Computations - Condon, Ladner, Lampe, Sinha (1996)
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Interactive Proof Systems with Polynomially Bounded Strategies - Condon, Ladner (1992)
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