Part 1

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

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

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

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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