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posted on 15.02.2006by N.J. Camp, C. Cannings, N.A. Sheehan
In a previous paper we demonstrated how the number of possible
genotypic assignments consistent with the rules of Mendelian genetics
and with any known phenotypes could be calculated for an arbitrary
genealogy. Here, we present further results for several regular
genealogies constructed according to some specified recursive formulae
and for which the growth of the genotypic statespace, with increasing
genealogical size, can be described by a linear system.
This is a pre-print. The definitive version: CAMP, N.J., CANNINGS, C. and SHEEHAN, N.A., 1999. The number of genotypic assignments on a genealogy II. Further results for linear systems. IMA Journal of mathematics applied in medicine and biology, 16(3), pp. 213-236, is available at: http://imammb.oxfordjournals.org/.