Please refer to this link. It is Erdos and Renyi's first paper on Random Graphs (1959). I am trying to work through it.
I'm struggling with equations (16), (17) and (21).
(16)
- I'm not sure why they are using those two bounds in the summation? It seems redundant
- Why they did not use the result from (15) in (16) in the summation. They only used (14)?
(17)
- Why does loglog(n) replace M in (17)?
(21)
- What does the (-1)^k figure do? Why is it necessary?