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Homework Due April 3
rd
Question 1
Phylogenetic Trees
Consider the following triangular distance matrix:
B C D E
A 14 14 6 10
B 4 14 14
C 14 14
D 10
•
•
•
You should provide the sequence of (increasingly smaller) triangular matrices that
define the distances between the nodes and combinations of nodes.
Transform your unrooted tree into a rooted ultrametric tree by suitably adding
the root.
Represent your tree using parenthesis
You may use the steps suggested in the following URL where an example is also fully
worked out: http://linneus20.ethz.ch:8080/5_4_9.html
Question 2
Character Based
Perfect Phylogeny
Consider the following character matrix with 5 objects A, B, C, D, E and 7 characters
C1, C2, …, C7
C1
1
0
1
1
0
C2
1
0
0
0
0
C3
0
1
0
0
0
C4
0
1
0
0
1
C5
0
0
1
1
0
C6
0
0
1
0
0
C7
0
0
0
1
0
A
B
C
D
E
Determine if the above corresponds to perfect phylogeny and draw the corresponding
character tree.
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