Question

A tree T has 8 vertices, at least two of which have degree 3. a) How...

A tree T has 8 vertices, at least two of which have degree 3.

a) How many edges are there?

b) What are the possible vertex degrees for T in non–increasing order?

c) What are the possible forms for T up to isomorphism?

The answer to part a is "7" while the answer to part be is " 3,3,3,1,1,1,1,1 and 3,3,2,2,1,1,1,1"

There are six possible answers for part c. how? and what are the answers?

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