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• W2297747523 abstract "By constructing jointly a random graph and an associated exploration process, we define the dynamics of a “parking process” on a class of uniform random graphs as a measure-valued Markov process, representing the empirical degree distribution of non-explored nodes. We then establish a functional law of large numbers for this process as the number of vertices grows to infinity, allowing us to assess the jamming constant of the considered random graphs, i.e. the size of the maximal independent set discovered by the exploration algorithm. This technique, which can be applied to any uniform random graph with a given–possibly unbounded–degree distribution, can be seen as a generalization in the space of measures, of the differential equation method introduced by Wormald." @default.
• W2297747523 created "2016-06-24" @default.
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• W2297747523 date "2017-07-01" @default.
• W2297747523 modified "2023-10-11" @default.
• W2297747523 title "The jamming constant of uniform random graphs" @default.
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• W2297747523 doi "https://doi.org/10.1016/j.spa.2016.10.005" @default.
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