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The degree sequence of an undirected network with n vertices is a non - negative integer vector d i n Z + n such that

The degree sequence of an undirected network with n vertices is a non-
negative integer vector dinZ+n such that di is the degree of vertex i. In
order to make the degree sequence for a given network unique, one often
sorts d so that d1d2cdotsdn. It is obvious that a degree sequence
must satisfy 0din-1 for all i.
(a) Give an example of a non-negative integer vector dinZ+4 that satisfies
0di3 for all i, but is not the degree sequence of any network.
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