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4 votes
1 answer
218 views

Quasi-random vs pseudo-random graphs

My question is somehow concerning terminology on extremal graph theory. Is there any difference concerning the notion of quasi-random graph and the notion of pseudo-random graph? My feeling is that ...
Johnny Cage's user avatar
  • 1,561
6 votes
2 answers
266 views

Lovasz local lemma for the edge model

In order to successfully apply the Lovasz local lemma, one needs the events to be relatively independent. This (sometimes) works well in the $G(n,p)$ model of random graphs, where the presence or ...
Vince Vatter's user avatar
  • 2,339
10 votes
0 answers
222 views

Asymptotics of subgraph densities in graphons

In Pittel (1989)'s solution to a problem of Knuth (1976) on the expected number of stable matchings between $n$ men and $n$ women under uniform random preferences, it was shown that, as $n \to \infty$,...
Yufei Zhao's user avatar