Question: Let di > d >>d, be nonnegative integers. Prove that (d, d2,..., dn) is the degree sequence of a multigraph if and only if

Let di > d... > dn be nonnegative integers. Prove that (d, d2,..., dn) is the degree sequence of a multigraph

Let di > d >>d, be nonnegative integers. Prove that (d, d2,..., dn) is the degree sequence of a multigraph if and only if 1. d + d... + d,, is an even number, and 2. dd+. + dn.

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