1. Reword the statement below as a theorem about graphs and then prove it. Assume that if A is a friend of B, then B is a friend of A and that for all A, A is not a friend of A. In any group of n>= 2 people, there are two people with the same number of friends in the group.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
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1.
Reword the statement below as a theorem about graphs and then prove it. Assume that if A is a friend of B,
then B is a friend of A and that for all A, A is not a friend of A.
In any group of n >=
2 people, there are two people with the same number of friends in the group.
Transcribed Image Text:1. Reword the statement below as a theorem about graphs and then prove it. Assume that if A is a friend of B, then B is a friend of A and that for all A, A is not a friend of A. In any group of n >= 2 people, there are two people with the same number of friends in the group.
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