In a company, emails sent from one employee to another are tracked as follows: Mr. Cooper sends 3 emails to Mrs. Sanders. Mrs. Sanders sends 4 emails to Ms. Bighton, Ms. Bighton send 1 email to Mr. Ortega and Mr. Ortega does not send anyone any emails. Furthermore, Mrs. Sanders sends Mr. Cooper 3 emails, Mrs. Bighton sends Mr. Cooper 2 emails.

A). Draw a graph to represent connections within this company, based on email data, where each vertex represents a person and an edge joining two vertices represents the presence or absence of email communication between them (in either direction).

B). Find the beta index of the graph you found in part (a).