A Beginner's Guide to Finite Mathematics by W.D. Wallis

Author:W.D. Wallis
Language: eng
Format: epub
Publisher: Birkhäuser Boston, Boston

2.Find all different trees on six vertices.

3.Show that the graph

contains cycles of lengths 5, 6, 8, and 9. (Notice that the central point, where three edges cross, is not a vertex.)

4.The wheel W n was defined in Exercise 4.3A.5; it consists of a cycle of length n together with one further vertex that is adjacent to all n vertices of the cycle. What are the radius and diameter of W 7?

5.For each n=2,3,4,5,6, find a tree on seven vertices that has n vertices of degree 1.

6.Represent the following trees as tree diagrams in all possible ways.

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