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Random Walks on Colored Graphs (1994)  (Make Corrections)  (2 citations)
Anne Condon, Diane Hernek
Israel Symposium on Theory of Computing Systems



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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)

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...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
Cover Times - Aldous, Fill (1994)   (Correct)
Random Walks on Colored Graphs: Analysis and Applications - Hernek (1995)   (Correct)

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0.2:   The Capacity Of Finite State Channels - Pfister (2003)   (Correct)
0.2:   Reversible Markov Chains - Aldous, Fill (1994)   (Correct)
0.2:   Reliable Communication Under Channel Uncertainty - Lapidoth, Narayan (1998)   (Correct)

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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" }
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