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Tag Archives: universal
History of the Random Graph
That wonderful object, the countable random graph, was first considered by Erdős and Rényi in their paper on “Asymmetric graphs” in 1963. After proving that a large random finite graph (edges chosen independently with probability 1/2) has (with high probability) … Continue reading
Posted in exposition, history
Tagged backandforth, Cantor, Erdos, Fraisse, homogeneous, Huntington, Rado, Renyi, universal, Urysohn
7 Comments
Almost highly transitive
I want to discuss a concept I have known about for quite a long time, but never found any real use for. Suggestions welcome! Highly transitive groups A permutation group is ntransitive if it has a single orbit on the … Continue reading
Posted in Uncategorized
Tagged generic, Henson's graph, homogeneous, multiorders, orders, PetrovVershik measure, random graph, universal
1 Comment