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2005 Modeling the Small-World Phenomenon with Local Network Flow
Reid Andersen, Fan Chung, Linyuan Lu
Internet Math. 2(3): 359-385 (2005).


The small-world phenomenon includes both small average distance and the clustering effect. Randomly generated graphs with a power law degree distribution are widely used to model large real-world networks, but while these graphs have small average distance, they generally do not exhibit the clustering effect. We introduce an improved hybrid model that combines a global graph (a random power law graph) with a local graph (a graph with high local connectivity defined by network flow). We present an efficient algorithm that extracts a local graph from a given realistic network. We show that the underlying local graph is robust in the sense that when our extraction algorithm is applied to a hybrid graph, it recovers the original local graph with a small error. The proof involves a probabilistic analysis of the growth of neighborhoods in the hybrid graph model.


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Reid Andersen. Fan Chung. Linyuan Lu. "Modeling the Small-World Phenomenon with Local Network Flow." Internet Math. 2 (3) 359 - 385, 2005.


Published: 2005
First available in Project Euclid: 16 June 2006

zbMATH: 1101.68308
MathSciNet: MR2212370

Rights: Copyright © 2005 A K Peters, Ltd.


Vol.2 • No. 3 • 2005
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