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Results tagged with random-graphs
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user 3401
The study of probability distributions over graphs. For example, the Erdős–Rényi model where each edge occurs independently with equal probability.
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Critical probability for Erdos-Renyi digraphs to be strongly connected
This is basically the main result of a paper by Ilona Palásti:
On the strong connectedness of directed random graphs. Studia Sci.
Math. Hungar. 1 (1966), 205–214.
Here's the MathSciNet summar …
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17
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Properties of Some Random Graphs
Yes, this model has been studied. You should look at Chapter 9 of Janson, Luczak and Rucinski's Random Graphs book, and in particular at Corollary 9.44. This corollary is in fact a rather well-known t …
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