Weighted quartets phylogenetics

Despite impressive technical and theoretical developments, reconstruction of phylogenetic trees for enormous quantities of molecular data is still a challenging task. A key tool in analyses of large data sets has been the construction of separate trees for subsets (e.g., quartets) of sequences, and subsequent combination of these subtrees into a single tree for the full set (i.e., supertree analysis). Unfortunately, even amalgamating quartets into a supertree remains a computationally daunting task. Assigning weights to quartets to indicate importance or reliability was proposed more than a decade ago, but handling weighted quartets is even more challenging and has scarcely been attempted in the past. In this work we focus on weighted quartet-based approaches. We propose a scheme to assign weights to quartets coming from weighted trees and devise a tree similarity measure for weighted trees based on weighted quartets. We also extend the quartet MaxCut (QMC algorithm) to handle weighted ...