Composition vector approach to prokaryotic phylogeny provides an alignment-free and parameter-free method based on whole-genome data. It has also been applied to viruses and fungi. In all studied cases the inferred phylogenetic relationships agree well with taxonomic knowledge in major groupings and fine branchings. In this review article, after demonstrating its successful application to a collection of 892 genomes including 62 Archaea, 822 Bacteria and 8 Eukarya, we will outline some ongoing work towards the foundations of this new approach.
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