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A collectionT of k unrooted phylogenetic trees on dierent leaf sets is said to be strictly compatible or in agreement if there exists a tree T such that each tree inT can be obtained from T by deleting leaves and suppressing degree-2 vertices. The problem of determining if a set of unrooted trees is in agreement has been proved NP-hard in 1992. Here, we show that an f(k) n algorithm exists, for some computable function f of k, proving that strict compatibility of unrooted phylogenetic trees is xed-parameter

The agreement problem for unrooted phylogenetic trees is FPT