I'm afraid I don't really know the correct teminology do describe this
problem, so I'm having trouble looking for generalised solutions.

I have a set of sequences of points I must traverse in order and and I
want to combine the set into one long sequence possibly with some
points repeated so that it still satisfies the original sequences.

So
1)  A -> B -> C -> D
2)  A -> C -> B -> D
3)  B -> C -> A -> D

combined together could create a sequence of

 A -> C -> B -> C -> A -> D

 1             1      1            1
 2      2     2                    2
               3      3      3     3

Can anyone advise me what this problem is called, or give me pointers
as to a solution?
I expect its a part of graph theory or something, but without knowing
the right terms its hard to look it up.


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