Changes

(1) When p=d/n for some constant d, the number of triangles in G(n,p) is independent of n.

(1) When p=d/n for some constant d, the number of triangles in G(n,p) is independent of n.

(2) The property that G(n,p) has diameter two has a sharp threshold at p = \sqrt(\dfrac{2\ln n}{n}).

(2) The property that G(n,p) has diameter two has a sharp threshold at p = \sqrt(\dfrac{2\ln n}{n}).

(3) The disappearance if isolated vertices in G(n,p) has a sharp threshold at p = \dfrac{\ln n}{n}.

(3) The disappearance of isolated vertices in G(n,p) has a sharp threshold at p = \dfrac{\ln n}{n}.

(4) When p=d/n, d > 1, there is a giant component consisting of a constant fraction of the vertices.

(4) When p=d/n, d > 1, there is a giant component consisting of a constant fraction of the vertices.

I will be covering material from the following book: http://www.cs.cornell.edu/jeh/book11April2014.pdf

I will be covering material from the following book: http://www.cs.cornell.edu/jeh/book11April2014.pdf