聖塔非研究所

摘要 We generalize the 隨機圖 演化 process of Bohman, Friez

2011 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We generalize the 隨機圖 演化 process of Bohman, Frieze, and Wormald [T. Bohman, A. Frieze, and N. C. Wormald, Random Struct. Algorithms, 25, 432 (2004)]. Potential edges, sampled uniformly at…

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論文資訊

  • 類型:已發表論文
  • 日期:2011

摘要

We generalize the 隨機圖 演化 process of Bohman, Frieze, and Wormald [T. Bohman, A. Frieze, and N. C. Wormald, Random Struct. Algorithms, 25, 432 (2004)]. Potential edges, sampled uniformly at random from the complete graph, are considered one at a time and either added to the graph or rejected provided that the fraction of accepted edges is never smaller than a decreasing function asymptotically approaching the value alpha = 1/2. We show that multiple giant components appear simultaneously in a strongly discontinuous 滲流 transition and remain distinct. Furthermore, tuning the value of alpha determines the number of such components with smaller alpha leading to an increasingly delayed and more explosive transition. The location of the critical point and strongly discontinuous nature are not affe

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