Let G = (V,E) be a simple undirected graph , meaning that it has no self-loops (edges of the form (v,v)) and no multiple edges between the same pair of vertices. For such a graph we can define its degree sequence deg , where each element represents the degree of a vertex. For example, the graph shown below has degree sequence deg = (3,1,1,1) In this exercise we consider the inverse problem : given a degree sequence deg , determine whether it is possible to construct a simple undirected graph with that sequence. For each of the following statements, determine whether it is True (T) or False (F) . i) deg = (2,2) generates more than one graph. ii) deg = (2,2,2) generates exactly one graph. iii) deg = (2,2,2,2,2,2) generates exactly one graph. Alternatives a) TTF b) FTT c) TFT d) FTF e) None of the above Original idea by: Luis Alberto Vásquez Vargas