When you're given a degree sequence, what is the method to draw a graph which has that degree sequence?
Consider the degree sequence $(1, 2, 2, 3, 5, 5)$. Either draw a graph with this degree sequence of prove that no such graph exists.
NB: I'm aware that no degree sequence can contain an odd number of odd numbers. Also, there is at most one edge between two vertices and there cannot be an edge from a vertex which is incident to itself.