Complexity International       /vol12/msid43/ © Copyright 2008     
Volume 12 Received: 
Accepted: 
November 2004
December 2004



The structural phase transition among fixed cardinal networks

Yuumi KAWACHI, Kenta MURATA, Shinichiro YOSHII, Yukinori KAKAZU

Abstract
     Various network structures exist in the world. Recently, small-world and scale-free have been focused attention on peculiar network structures. Those networks seem to indicate some characteristics of complex systems. However, the relations between not only the two types of network but also between other related ones are ambiguous. The purpose of this study is aiming at clarifying the relations among network structures with quantitative characteristics defined from small-world and scale-free networks. To achieve our purpose, we propose a model for fixed cardinal networks. In this paper, the cardinal of a network is the scale of its structure, that is the number of nodes and links. Using the model, a network structural phase transition, from regular to scale-free through small-world and random network, is emerged.


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Yuumi KAWACHI, Kenta MURATA, Shinichiro YOSHII, Yukinori KAKAZU 2008, The structural phase transition among fixed cardinal networks, Complexity International, Volume 12, Paper ID: msid43, URL: http://www.complexity.org.au/vol12/msid43/
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