#### Vol. 9, No. 1, 2016

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Combinatorics of linked systems of quartet trees

### Emili Moan and Joseph Rusinko

Vol. 9 (2016), No. 1, 171–180
##### Abstract

We apply classical quartet techniques to the problem of phylogenetic decisiveness and find a value $k$ such that all collections of at least $k$ quartets are decisive. Moreover, we prove that this bound is optimal and give a lower bound on the probability that a collection of quartets is decisive.

##### Keywords
phylogenetics, quartets, decisiveness
Primary: 92B10