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The cover time of sparse random graphs.
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Source Symposium on Discrete Algorithms archive
Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms table of contents
Baltimore, Maryland
SESSION: Session 3B table of contents
Pages: 140 - 147  
Year of Publication: 2003
ISBN:0-89871-538-5
Authors
Colin Cooper  Goldsmiths College, London, UK
Alan Frieze  Carnegie Mellon University, Pittsburgh
Sponsors
: SIAM Activity Group on Discrete Mathematics
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
Society for Industrial and Applied Mathematics  Philadelphia, PA, USA
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Downloads (6 Weeks): 7,   Downloads (12 Months): 44,   Citation Count: 9
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ABSTRACT

We study the cover time of a random walk on graphs GGn, p when p = c log n/n, c < 1. We prove that whpthe cover time is asymptotic to c log (c/c--1) n log n.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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R. Aleliunas, R.M. Karp, R.J. Lipton, L. Lovász and C. Rackoff, Random Walks, Universal Traversal Sequences, and the Complexity of Maze Problems. Proceedings of the 20th Annual IEEE Symposium on Foundations of Computer Science (1979) 218--223.
 
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B. Bollobás, Random graphs (Second edition), Cambridge University Press (2001).
 
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P. Erdös and A. Rényi, On random graphs I, Publ. Math. Debrecen 6 (1959) 290--297.
 
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S. Janson, T. Luczak and A. Ruciński, Random graphs, Wiley (2000).
 
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CITED BY  9

Collaborative Colleagues:
Colin Cooper: colleagues
Alan Frieze: colleagues