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ランダムなネットワークにおけるスケーリングの出現

Barabasi¹, Albert

¹Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USA.

Science (New York, N.Y.)

|October 16, 1999

まとめ

ワールド・ワイド・ウェブのような大規模なネットワークは,継続的な成長と優先的なアタッチメントにより,スケールフリーな特性を示す. これは,強固な自己組織化原理がネットワーク開発を支配することを示唆しています.

科学分野:

複雑なシステム科学複雑なシステム科学
ネットワーク理論ネットワーク理論
統計物理学統計物理学とは

背景:

遺伝子ネットワークやワールドワイドウェブを含む多くの大規模なシステムは,複雑なトポロジーを示しています.
これらのネットワークの共通の特徴は,頂点接続のスケールフリーなパワー法分布である.

研究の目的:

複雑なネットワークにおけるスケールフリープロパティに起因する根本的なメカニズムを特定する.
静止スケールフリー分布の出現を説明するモデルを開発する.

主な方法:

この研究は,2つの主要なメカニズムに基づくモデルを提案しています:新しい頂点を追加することによってネットワークの継続的な拡張.
このモデルは,新しい頂点が,すでによく接続されている既存の頂点と接続する優先的な接続を組み込んでいます.

主要な成果:

提案されたモデルは,複雑なネットワークにおける観測された静止スケールフリー分布を成功裏に再現しています.
発見は,ネットワークの発展は,一般的な自己組織化現象によって駆動されていることを示しています.

結論:

大規模なネットワークのスケールフリーな性質は,シンプルで堅牢な自己組織化メカニズムの結果である.
これらのメカニズムは,個々のネットワークシステムの具体的な詳細とは無関係に動作し,ネットワークの成長における普遍的な原則を強調しています.

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