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Propagation connectivity of random hypergraphs
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Coja-Oghlan, Amin, Onsjoe, Mikael and Watanabe, Osamu (2012) Propagation connectivity of random hypergraphs. Electronic Journal of Combinatorics, Vol.19 . P17. ISSN 1077-8926.
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Official URL: http://www.combinatorics.org/
Abstract
We study the concept of propagation connectivity on random 3-uniform hyper-graphs. This concept is inspired by a simple propagation algorithm for solving instances of certain constraint satisfaction problems. We derive upper and lower bounds for the propagation connectivity threshold. Our proof is based on a kind of large deviations analysis of a time-dependent random walk. Based on the analysis, we also give an upper bound on the expected running time of the simple propagation algorithm.
| Item Type: | Journal Article | ||||
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science Faculty of Science, Engineering and Medicine > Science > Mathematics |
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| Journal or Publication Title: | Electronic Journal of Combinatorics | ||||
| Publisher: | Electronic Journal of Combinatorics | ||||
| ISSN: | 1077-8926 | ||||
| Official Date: | 16 January 2012 | ||||
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| Volume: | Vol.19 | ||||
| Page Range: | P17 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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