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• W2949072118 abstract "By constructing jointly a random graph and an associated exploration process, we define the dynamics of a parking 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 degree distribution, can be seen as a generalization in the space of measures, of the differential equation method introduced by Wormald." @default.
• W2949072118 created "2019-06-27" @default.
• W2949072118 creator A5044694467 @default.
• W2949072118 creator A5053044735 @default.
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• W2949072118 date "2013-10-31" @default.
• W2949072118 modified "2023-09-27" @default.
• W2949072118 title "The Jamming Constant of Uniform Random Graphs" @default.
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