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  "body": "\n## Summary\n\nIn applied mathematics, the **soft configuration model (SCM)** is a random graph model subject to the principle of maximum entropy under constraints on the expectation of the degree sequence of sampled [[graphs|00C0BR7D7H]]. Whereas the configuration model (CM) uniformly samples random graphs of a specific degree sequence, the SCM only retains the specified degree sequence on average over all network realizations; in this sense the SCM has very relaxed constraints relative to those of the CM (\"soft\" rather than \"sharp\" constraints). The SCM for graphs of size $n$ has a nonzero probability of sampling any graph of size $n$, whereas the CM is restricted to only graphs having precisely the prescribed connectivity structure.\n",
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