INDIAN STATISTICAL INSTITUTE

(Headquarters at Kolkata)

203 B. To Road, Kolkata 700 108

Random Graphs

Optional Course for B. Stat. IIIrd Year

Academic Year 2019 - 2020: Semester II

Project S5

• Title: Central Limit Theorem for the Size of the Giant Component for the Super-Critical Erdős-Rényi Binomial Random Graph

• Goal: The main objective of this project is to establish a Central Limit Theorem (CLT) for the Super-Critical Erdős-Rényi Binomial Random Graph.

• Remarks: This is essentially a reading project. A lot of materials can be found in the Chapter 4.5 of R. van der Hofstad: Random Graphs and Complex Networks: Volume I. book and other references therein.