No- isomorphic trees
For any n: find n non-isomorphic trees, that have the same degree sequences!
(n is a natural number)
I guess we should find an algorithm (input: n, output: n suitable trees).
What if we create a 2n+1 long chain and we can connact another vertex to n places in order to have n non-ismorphic trees with the same degree sequences.
I am afraid this algoritm doesn't work for all n or there is a mistake in my come-off.
Any help would be appreciated!
Can you explain how and for which n it does not work ?