𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The distribution of clusters in random graphs

✍ Scribed by Richard Arratia; Eric S Lander

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
697 KB
Volume
11
Category
Article
ISSN
0196-8858

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The asymptotic distribution of long cycl
The asymptotic distribution of long cycles in random regular graphs
✍ Hans Garmo πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 580 KB

The asymptotic distribution of the number of cycles of length l in a random r-regular graph is determined. The length of the cycles is defined as a function of the Ε½ . Ε½ . number of vertices n, thus l s l n , and the length satisfies l n Βͺ Ο± as n Βͺ Ο±. The limiting Ε½ . Ε½ . distribution turns out to

The distribution of the maximum degree o
The distribution of the maximum degree of a random graph
✍ BΓ©la BollobΓ‘s πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 184 KB

Consider I:andom graphs with n labelled vertices in which the edges are chosen independently and with a 6lxed probability p, 0 <p C 1. Let y be a fixed real number, q = 1p, and denote by A the maximum degree. Then

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