In the company, emails sent from one employee to another are tracked as given below: Mr. Cooper sends three emails to Mrs. Sanders. Mrs. Sanders sends four emails to Ms. Bighton, Ms. Bighton send one email to Mr. Ortega and Mr. Ortega doesn't send anyone any emails. Mrs. Sanders sends Mr. Cooper three emails, Mrs. Bighton sends Mr. Cooper two emails.
i) Sketch the graph to represent connections within the company, based on email data, where every vertex represents the person and the edge joining 2 vertices represents presence or absence of email communication between them (in either direction).
ii) Determine beta index of graph found in part (i).