Question
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In a company, emails sent from one employee to another are tracked as follows: Mr. Coopersends 3 emails to Mrs. Sanders. Mrs. Sanders sends 4 emails to Ms. Bjghton. Ms. Bighton send 1 email to Mr. Ortega and Mr. Ortega does not send anyone any emails. Furthermore, Mrs. Sanders sends Mf,Cooper 3 emails. Mrs. Bighton sends Mr. Cooper2 emails. 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). Find the beta index of the graph you found in part (a). You and a friend meet three other couples at a party and several handshakes take place. Nobody shakes hands with himself or herself, there are not handshakes within couples, and no one shakes hands with the same person more than once. The numbers of hands shaken by the other seven people (excluding you) are all different. How many hands did you shake? How many hands did your partner shake? Use a graph to aid your solution1. Draw a pseudograph to represent the email communication graph described in exercise 1 (Section 9.1) above. In your pseudograph, each vertex represents a person an directed edge joining two vertices represents an email sent.
Explanation / Answer
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