1,102
edits
Changes
From Genome Analysis Wiki
Jump to navigationJump to searchRelationship between Ploidy, Alleles and Genotypes (view source)
Revision as of 13:43, 2 February 2015
, 13:43, 2 February 2015→Observation of nested patterns
Another important observation here is that for a genotype <math>(a_1, a_2, .. a_P)</math>, The <math>F(P, a_p)</math>th genotype to <math>(a_1, a_2, .. a_P)</math> all end with <math>a_p</math>, this does not help distinguish the order, so we need to only examine the genotype <math>(a_1,..., a_{P-1})</math>. The sub genotype <math>(a_1,..., a_{P-1})</math> is also ordered else <math>(a_1,..., a_{P})</math> is not ordered.
Another important observation here is that for a genotype <math>(a_1, a_2, .. a_P)</math>, The <math>F(P, a_p)</math>th genotype to <math>(a_1, a_2, .. a_P)</math> all end with <math>a_p</math>, this does not help distinguish the order, so we need to only examine the genotype <math>(a_1,..., a_{P-1})</math>. The sub genotype <math>(a_1,..., a_{P-1})</math> is also ordered else <math>(a_1,..., a_{P})</math> is not ordered.
The nested genotype sequence is in red. The blue sequence shows the sequence of genotypes enumerated without involving <math>a_P</math>.
{| class="wikitable"
{| class="wikitable"
! scope="col"| Index
! scope="col"| Index
! scope="col"| A=4,P=3
! scope="col"| A=4,P=3
! scope="col"| A=3,P=3
! scope="col"| A=4,P=2
! scope="col"| A=2,P=3
! scope="col"| A=4,P=1
|-
|-
|0 <br>
|0 <br>
18 <br>
18 <br>
19 <br>
19 <br>
| AAA<br>
| <span style="color:#FF0000">AAA</span><br>
AAB <br>
<span style="color:#FF0000">AAB</span> <br>
ABB <br>
<span style="color:#FF0000">ABB</span> <br>
BBB <br>
<span style="color:#FF0000">BBB</span> <br>
AAC <br>
<span style="color:#FF0000">AAC</span> <br>
ABC <br>
<span style="color:#FF0000">ABC</span> <br>
BBC <br>
<span style="color:#FF0000">BBC</span> <br>
ACC <br>
<span style="color:#FF0000">ACC</span> <br>
BCC <br>
<span style="color:#FF0000">BCC</span> <br>
CCC <br>
<span style="color:#FF0000">CCC</span> <br>
<span style="color:#FF0000">AAD</span> <br>
<span style="color:#FF0000">ABD</span> <br>
<span style="color:#FF0000">BBD</span> <br>
<span style="color:#FF0000">ACD</span> <br>
<span style="color:#FF0000">BCD</span> <br>
<span style="color:#FF0000">CCD</span> <br>
<span style="color:#FF0000">ADD</span> <br>
<span style="color:#FF0000">BDD</span> <br>
<span style="color:#FF0000">CDD</span> <br>
<span style="color:#FF0000">DDD</span> <br>
|<span style="color:#0000FF">AAA</span><br>
<span style="color:#0000FF">AAB</span> <br>
<span style="color:#0000FF">ABB</span> <br>
<span style="color:#0000FF">BBB</span> <br>
<span style="color:#0000FF">AAC</span> <br>
<span style="color:#0000FF">ABC</span> <br>
<span style="color:#0000FF">BBC</span> <br>
<span style="color:#0000FF">ACC</span> <br>
<span style="color:#0000FF">BCC</span> <br>
<span style="color:#0000FF">CCC</span> <br>
<span style="color:#FF0000">AA</span>D <br>
<span style="color:#FF0000">AA</span>D <br>
<span style="color:#FF0000">AB</span>D <br>
<span style="color:#FF0000">AB</span>D <br>
BCC <br>
BCC <br>
CCC <br>
CCC <br>
<span style="color:#FF0000">AA</span>D <br>
<span style="color:#0000FF">AA</span>D <br>
<span style="color:#FF0000">AB</span>D <br>
<span style="color:#0000FF">AB</span>D <br>
<span style="color:#FF0000">BB</span>D <br>
<span style="color:#0000FF">BB</span>D <br>
<span style="color:#FF0000">AC</span>D <br>
<span style="color:#0000FF">AC</span>D <br>
<span style="color:#FF0000">BC</span>D <br>
<span style="color:#0000FF">BC</span>D <br>
<span style="color:#FF0000">CC</span>D <br>
<span style="color:#0000FF">CC</span>D <br>
<span style="color:#FF0000">AD</span>D <br>
<span style="color:#FF0000">A</span>DD <br>
<span style="color:#FF0000">BD</span>D <br>
<span style="color:#FF0000">B</span>DD <br>
<span style="color:#FF0000">CD</span>D <br>
<span style="color:#FF0000">C</span>DD <br>
<span style="color:#FF0000">DD</span>D <br>
<span style="color:#FF0000">D</span>DD <br>
|-
|-
|}
|}
== Derivation ==
== Derivation ==
