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21st International Conference on Data Engineering Workshops (ICDEW'05)
On Small World Graphs in Non-uniformly Distributed Key Spaces
Tokyo, Japan
April 05-April 08
ISBN: 0-7695-2657-8
Sarunas Girdzijauskas, Federale de Lausanne (EPFL), Switzerland
Anwitaman Datta, Federale de Lausanne (EPFL), Switzerland
Karl Aberer, Federale de Lausanne (EPFL), Switzerland
In this paper we show that the topologies of most logarithmic-style P2P systems like Pastry, Tapestry or P-Grid resemble small-world graphs. Inspired by Kleinberg?s small-world model [7] we extend the model of building "routing-efficient" small-world graphs and propose two new models. We show that the graph, constructed according to our model for uniform key distribution and logarithmic outdegree, will have similar properties as the topologies of structured P2P systems with logarithmic outdegree. Moreover, we propose a novel model of building graphs which support uneven node distributions and preserves all desired properties of Kleinberg?s small-world model. With such a model we are setting a reference base for nowadays emerging P2P systems that need to support uneven key distributions.
Index Terms:
Distributed Hash Tables, Routing, Small-World graphs, Storage Load Balancing
Citation:
Sarunas Girdzijauskas, Anwitaman Datta, Karl Aberer, "On Small World Graphs in Non-uniformly Distributed Key Spaces," icdew, pp.1187, 21st International Conference on Data Engineering Workshops (ICDEW'05), 2005
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