All Questions
Tagged with extremal-graph-theory pr.probability
4 questions
6
votes
1
answer
482
views
Average and max. hitting time to a specific vertex
Consider simple random walks that stop when reaching a given node $x$ in an undirected, unweighted and connected graph on $n$ nodes.
Let
$H(i,x)$ denote the (expected) hitting time from $i$ to $x$, ...
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 ...
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 ...
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 $n \to \infty$,...