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Revision as of 11:40, 31 January 2015
, 11:40, 31 January 2015→Derivation for indexing the number of genotypes
<math>
<math>
\begin{align}
\begin{align}
G(a_1,.. , a_P) &= \| \{ \text{genotypes of a_P alleles for ploidy P} \} \| \\
G(a_1,.. , a_P) &= \| \{\text{genotypes of } a_P \text{ alleles for ploidy P}\} \| + G(a_1,.. , a_{P-1})\\
&= F(a_P, P) + G(a_1,..,a_{P-1})
&= F(a_P, P) + G(a_1,..,a_{P-1})
\end{align}
\end{align}
</math>
</math>
This gives a recursive relationship that is a chain of P-1 calculations.
= Algorithm for enumerating the genotypes given A ploidy and alleles =
= Algorithm for enumerating the genotypes given A ploidy and alleles =
