スケールフリーネットワークにおける最短経路の浸透
Minsuk Kim1, Lorenzo Cirigliano2, Claudio Castellano3
1Indiana University, Bloomington, Center for Complex Networks and Systems Research, Luddy School of Informatics, Computing, and Engineering, Indiana 47408, USA.
Physical review. E
|February 20, 2026
まとめ
スケールフリーネットワークにおける最短経路の浸透モデルは,エールドース-レニーのネットワークと同様に,度指数から独立した移行を示しています. これは,このプロセスが移行前にネットワーク構造を均質化するためです.
科学分野:
- ネットワーク科学 ネットワーク科学
- 統計物理学 統計物理学とは
- 複雑なシステムは,複雑なシステムです.
背景:
- 最短経路浸透 (SPP) モデルは,資源消費とネットワークの崩壊をシミュレートします.
- エールドース-レニィネットワーク (ERN) のSPPは,有限の予算では通常の債券の浸透で普遍性を示しますが,無限の予算ではより急激になります.
研究 の 目的:
- ランダムなスケールフリーネットワーク (SFN) でのSPP移行を調査する.
- SFNがERNと比べて異なる浸透行動を示すかどうかを判断する.
主な方法:
- 大規模な数値シミュレーション.
- 有限サイズのスケーリング分析.
- ランダムなスケールフリーネットワークでSPPを研究し,パワー法度分布を行った.
主要な成果:
- SFNの SPP 移行は,度指数に関係なく,ERNの SPP 移行と同一です.
- この研究では,有限予算と無限予算のSPP普遍性クラスを区別しています.
- SPPプロセスは,移行前のSFNの異質な構造を均一化します.
結論:
- SFNの異質性は,SPP移行の普遍性クラスに影響を与えない.
- SPPモデルは,異なるネットワークトポロジーにおけるネットワークトランジションの統一された理解を提供します.
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