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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/

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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
Divisions: Faculty of Science, Engineering and Medicine > Science > Computer Science
Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Electronic Journal of Combinatorics
Publisher: Electronic Journal of Combinatorics
ISSN: 1077-8926
Official Date: 16 January 2012
Dates:
DateEvent
16 January 2012Published
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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