Any fully graphic region of degree sequences can be sampled rapidly

Péter L. Erdős, Gábor Lippner, Na'ama Nevo +1

Let $n>c_1\ge c_2$ and $\Sigma$ be positive integers with $n\cdot c_1\ge \Sigma \ge n\cdot c_2.$ Let $\mD=\dds{n}Σ{c_1}{c_2}$ denote the set of all degree sequences of length $n$ with the eve…