Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
GSIS SELECTED LECTURES: Exploring Collaborative Mathematics
An Introduction to Complex Networks
Takehisa HASEGAWA
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2011 Volume 17 Issue 3 Pages 175-195

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Abstract

We review some studies on complex networks. The complex networks often have structural characteristics: the power-law degree distribution; the logarithmic size dependence of the average path length; and the high clustering coefficient. Several network models with such properties are introduced. We also consider the percolation models on the scale-free networks to show how the critical probability and critical behavior change with network topology.

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© 2011 by the Graduate School of Information Sciences (GSIS), Tohoku University
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