# 2009, English, Article edition: Star: A Stable and Robust Membership Protocol Datta, Ajoy; Kermarrec, Anne-Marie; Larmore, Lawrence; ...

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Bookmark: http://trove.nla.gov.au/version/205242
Physical Description
• text
Published
• HAL - CCSD
• 2009
Language
• English

### Edition details

Title
• Star: A Stable and Robust Membership Protocol
Author
• Datta, Ajoy
• Kermarrec, Anne-Marie
• Larmore, Lawrence
• Le Merrer, Erwan
Published
• HAL - CCSD
• 2009
Physical Description
• text
Subjects
Notes
• We present the design and analysis of STAR, a fully decentralized self-stabilizing randomized membership protocol building a strongly connected overlay graph with sub-logarithmic diameter and almost homogeneous logarithmic degree. STAR is the first protocol to simultaneously maintain the following properties on the resulting graph $G$: {(i)} The graph maintains the {\em Eulerian\/​} property, namely that the in-degree and out-degree of each node are the same, and that $G$ is strongly connected. {(ii)} The out-degree of each node automatically converges to an average of $2 \ln (n)+O(1)$ without any node knowing the exact size $n$ of the network. {(iii)} The diameter of the overlay graph will be $\frac{\ln n}{\ln \ln n + \ln 2}+O(1)$ with high probability. {(iv)} STAR is self-stabilizing. Starting from an arbitrary graph topology, or after disruptive error, {\stella} will cause the overlay graph to converge to the desired properties.
• HAL:inria-00399546, version 2
• HAL:http:/​/​hal.inria.fr/​inria-00399546/​en/​
Language
• English
Contributed by
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