One of the longstanding problems in computational molecular biology is
the Character Compatibility Problem, which is concerned with the cons
truction of phylogenetic trees for species sets, where the species are
defined by characters. The character compatibility problem is NP-Comp
lete in general. In this paper an O(n2k) time algorithm is described f
or the case where the species are described by quaternary characters.
This algorithm can be used to construct phylogenetic trees from DNA se
quences.