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© 1987 IRL Press Ltd.

Turbo Tree: a fast algorithm for minimal trees

David Penny and Michael D. Hendy 1

Department of Botany and Zoology, Massey University Palmerston North, New Zealand
1Department of Mathematics and Statistics, Massey University Palmerston North, New Zealand

A branch and bound algorithm is described for searching rapidly for minimal length trees from biological data. The algorithm adds characters one at a time, rather than adding taxa, as in previous branch and bound methods. The algorithm has been programmed and is available from the authors. A worked example is given with 33 characters and 15 taxa. About 8 x 1012 binary trees are possible with 15 taxa but the branch and bound program finds the minimal tree in <5 min on an IBM PC.


Received on January 15, 1987; accepted on February 23, 1987

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