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A separation condition for the existence of limit cycles in slow-fast systems

✍ Scribed by Simona Muratori; Sergio Rinaldi

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
717 KB
Volume
15
Category
Article
ISSN
0307-904X

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Limit distribution for the existence of
Limit distribution for the existence of hamiltonian cycles in a random graph
✍ JΓ‘nos KomlΓ³s; Endre SzemerΓ©di πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 874 KB

P&a proved that a random graph with clt log n edges is Hamiltonian with probability tending to 1 if c >3. Korsunov improved this by showing that, if Gn is a random graph with \*n log n + in log log n + f(n)n edges and f(n) --\*m, then G" is Hamiltonian, with probability tending to 1. We shall prove