Branching process for network growth with geometric restrictions

  title={Branching process for network growth with geometric restrictions},
  author={Fabricio L. Forgerini and Nuno Crokidakis and Sergey N. Dorogovtsev and Jose F. F. Mendes},
We study an evolving tree with interacting nodes embedded into a Euclidean space. The growth of the network is generated by a branching process in which up to two new nodes are attached to a previous generations node at each time step. The new nodes are born if their positions are sufficiently far from one of the previous generations nodes, where the minimum allowed distance between two nodes is a. This results in an explosive (exponential) growth in the initial period, and, after some… CONTINUE READING

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