Let $\left(d_{1}, d_{2}, \ldots, d_{n}\right)$ be a sequence of $n$ nonnegative even integers. Prove that there exists a general graph with this sequence as its degree sequence.
Added by Julie G.
Step 1
Since all the degrees are even, the sum of the degrees is also even. This satisfies the Handshaking Lemma, which states that the sum of the degrees of all vertices in a graph must be even. Show more…
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