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- W3100113855 endingPage "P11008" @default.
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- W3100113855 abstract "We investigate the dynamic formation of regular random graphs. In our model, we pick a pair of nodes at random and connect them with a link if both of their degrees are smaller than d. Starting with a set of isolated nodes, we repeat this linking step until a regular random graph, where all nodes have degree d, forms. We view this process as a multivariate aggregation process, and formally solve the evolution equations using the Hamilton-Jacoby formalism. We calculate the nontrivial percolation thresholds for the emergence of the giant component when d>=3. Also, we estimate the number of steps until the giant component spans the entire system and the total number of steps until the regular random graph forms. These quantities are non self-averaging, namely, they fluctuate from realization to realization even in the thermodynamic limit." @default.
- W3100113855 created "2020-11-23" @default.
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- W3100113855 creator A5051100399 @default.
- W3100113855 date "2011-11-11" @default.
- W3100113855 modified "2023-10-17" @default.
- W3100113855 title "Dynamics of random graphs with bounded degrees" @default.
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- W3100113855 doi "https://doi.org/10.1088/1742-5468/2011/11/p11008" @default.
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