Forest Fire Models on Configuration Random Graphs

We consider a random process of fire propagation over the links of the two configuration graphs with random node degrees. Node degrees follow either the power-law or the Poisson distribution. A comparative analysis of these graph models in terms of the number of nodes remaining after the fire was performed. The conditions under which this number is greater for one or the other node degree distribution were found.

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Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).