Project #51402 - Discrete Math

Part 1

Q1

What does it mean for v and w to be adjacent vertices?

Q2

For each of the following characteristics, determine whether the graph exist or explain why such a graph does not exist:

  1. four nodes of degree 1, 2, 3, and 4, respectively.
  2. simple, four nodes of degree 1, 2, 3, and 4, respectively.
  3. four nodes of degree 2, 3, 3, and 4, respectively.
  4. four nodes of degree 2, 3, 3, and 3, respectively.

Q3

In a group of 25 people, is it possible for each to shake hands with exactly 3 other people? Why?

Subject Mathematics
Due By (Pacific Time) 12/12/2014 12:00 am
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