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A forest of trees

A forest of trees. even with modest numbers of tip species , the number of possible trees is frightening. Fitch W.M. 1971. Syst . Zool. 20: 406-416. Types of trees. trees that seem different – may be not. Orang Oetan. Orang Oetan. Chimpansee. Chimpansee. Macaque. Macaque.

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A forest of trees

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  1. A forest of trees even with modest numbers of tip species, the number of possible trees is frightening. Fitch W.M. 1971. Syst. Zool. 20: 406-416.

  2. Types of trees trees that seem different – may be not. OrangOetan OrangOetan Chimpansee Chimpansee Macaque Macaque Colobus Colobus Gibbon Gibbon Human Human Gorilla Gorilla =

  3. Types of trees there are always fewer unrooted trees than rooted trees. Alpha Delta Gamma Beta Epsilon Gamma Alpha Beta > Delta Epsilon FitchW.M. 1971. Syst. Zool. 20: 406-416.

  4. Types of trees there are more labeled than unlabeled trees. Alpha Delta Gamma Beta Epsilon > FitchW.M. 1971. Syst. Zool. 20: 406-416.

  5. Forests of labeled, rooted, bifurcating trees 2 tip species a b

  6. Forests of labeled, rooted, bifurcating trees 3 tip species c c b a a b a b c

  7. Forests of labeled, rooted, bifurcating trees 4 tip species d c b c b a c a b d d a d b a d a d c a b b c c a a b a b a a b c d b a d c c d c c d d c d b b b d b c a c a d c d a b

  8. Forests of labeled, rooted, bifurcating trees n tip species (2n -3)! # possible trees = 2n-2(n - 2)! = 1 x 3 x 5 x 7 x 9 x 11 x … x (2n-3)

  9. Forests of labeled, rooted, bifurcating trees n tip species Avogadro Eddington

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