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We showed in class that the Ramsey number R(3,3) < 6. a) Prove that R(3,3) > 5 by proving the following statement: "in a are either friends or enemies), there are not necessarily three m b) What is the exact value of R(3,3)? c) Prove that R(3,4) > 6 using a similar way as in part a).

We showed in class that the Ramsey number R(3,3) < 6. a) Prove that R(3,3) > 5 by proving the following statement: "in a are either friends or enemies), there are not necessarily three m b) What is the exact value of R(3,3)? c) Prove that R(3,4) > 6 using a similar way as in part a).

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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We showed in class that the Ramsey number R(3,3) < 6. a) Prove that R(3,3) > 5 by proving the following statement: "in a group of 5 people (where any two people are either friends or enemies), there are not necessarily three mutual friends or three mutual enemies." b) What is the exact value of R(3,3)? Prove that R(3,4) > 6 using a similar way as in part a). 1. c)
Transcribed Image Text:We showed in class that the Ramsey number R(3,3) < 6. a) Prove that R(3,3) > 5 by proving the following statement: "in a group of 5 people (where any two people are either friends or enemies), there are not necessarily three mutual friends or three mutual enemies." b) What is the exact value of R(3,3)? Prove that R(3,4) > 6 using a similar way as in part a). 1. c)
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