Infinite Clusters: Random Graph Theory/Percolation theory

  1. I am reading a paper about Random Graph Theory and Percolation theory and it keeps talking about infinite clusters and I cannot say I understand what that means. I know a finite cluster is a finite number of nodes that are connected to every other node in the cluster so by reasoning a infinite cluster would be an infinite number of nodes connected to every node. However, if this is the case how can there be a finite cluster in a infinite network
     
  2. jcsd
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