title: Enumeration and simulation of marriage node graphs on zero-loop pedigrees.
abstract: 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.
authors.affiliation: Department of Medical Informatics and Center for High Performance Computing, 391 Chipeta Way Suite D, Salt Lake City, UT 84108, USA.
authors.forename: Alun
authors.initials: A
authors.lastname: Thomas
authors.forename: Chris
authors.initials: C
authors.lastname: Cannings
mesh_terms: D005260:Female; D006801:Humans; D008297:Male; D008393:Marriage; D008433:Mathematics; D008957:Models, Genetic; D010375:Pedigree