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6 votes
0 answers
164 views

Hamilton cycles in random graphs with just enough connectivity

What is the asymptotic probability that $G$ has a Hamilton cycle if $G$ is a random $n$ vertex $\frac{4}{3}n$ edge graph, with minimum degree 2 and without degree 2 vertices at distance 1 or 2 to each ...
Dmytro Taranovsky's user avatar
1 vote
0 answers
105 views

Understanding the finale of the proof of Komlós' and Szemerédi's limit distribution of Hamiltonian random graphs

My question is about the end of the proof of Theorem 1 in [Komlós, Szemerédi (1983)], more precisely the arguments in Subsection 2.3. Let me state the beautiful theorem I am trying to understand in my ...
Nils Rosehr's user avatar