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- W2084416714 abstract "Percolation transitions in networks, describing the formation of a macroscopic component, are typically considered to be robust continuous transitions in random percolation. Yet, a class of models with various rules of connecting edges were recently devised which can lead to discontinuous transitions at percolation threshold. Here we study the Bohman?Frieze?Wormald process on scale-free networks constructed via a modified configuration model. We show via numerical simulation that multiple discontinuous transitions appear in the thermodynamic limit for the degree distribution exponent ????[2, ?c) with ?c???(2.3, 2.4). For ????(?c, 5] this model undergoes a unique discontinuous transition in the thermodynamic limit, but for any finite system a second discontinuous transition occasionally appears at some point above percolation threshold due to the aggregation of two existing giant components. For all values of the exponent ????[2, 5] we observe a pronounced right-hump in the evolution of component size distribution providing further evidence that the percolation transition is discontinuous at percolation threshold." @default.
- W2084416714 created "2016-06-24" @default.
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- W2084416714 date "2015-04-29" @default.
- W2084416714 modified "2023-09-23" @default.
- W2084416714 title "Multiple discontinuous percolation transitions on scale-free networks" @default.
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- W2084416714 doi "https://doi.org/10.1088/1742-5468/2015/04/p04011" @default.
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