Are my answers correct to these 3 questions?
Let T be a tree with n vertices.
1) What is the average degree/valency of the vertices in T?
Average Degree of of vertices in T = 2 times total number of edges
2) Suppose T has a vertex of degree/valency 3. What is the smallest
number of leaves that T can have?
3 leaves
3) Give an example of a tree with a vertex of degree/valency 3
with the smallest number of leaves.
Does this tree fulfill the above requirement?
1
/
3
/ \
1 1
1) What you have computed is the total degree, not the average degree.
2), 3) The example you have given has 3 leaves. If you still think the answer to 2) is 2 leaves, you should provide another example.