Enumeration and simulation of marriage node graphs on zero-loop pedigrees
A. Thomas · Mathematical Medicine and Biology A Journal of the IMA · 2003
We present a method that for the marriage node graph of a zero‐loop pedigree will enumerate all possible pedigrees that share the same underlying tree structure. The enumeration method leads naturally to a scheme for simulating from a uniform distribution on such pedigrees. This is extended to simulating pedigrees for which the underlying marriage node graph is a tree of any particular size.