How much information is needed to infer reticulate evolutionary histories?
Bottom Line: In this article, we shall demonstrate a fundamental issue with this approach.Namely, we show that even if we are given all of the subnetworks induced on all proper subsets of the leaves of some rooted phylogenetic network, we still do not have all of the information required to completely determine that network.We also discuss some potential consequences of this result for constructing phylogenetic networks.
Affiliation: School of Computing Sciences, University of East Anglia, Norwich, UK, and Centrum Wiskunde & Informatica (CWI), Amsterdam, Netherlands.Show MeSH
Mentions: Step 1: We begin by replacing the star tree containing the root vertex of by a tree with leaf set that is a subtree of a certain tree which is defined as follows. Let be the set of all binary sequences with length at most . The tree is the rooted tree with vertex set and arc set consisting of all pairs for which is the maximal precursor of in . Note that the common precursor of is clearly the root of . In addition, since each sequence is the maximal precursor of exactly two sequences in if , and is not the maximal precursor of any sequence in if , it follows that is a binary phylogenetic tree on . We depict the tree in Figure 5(i).
Affiliation: School of Computing Sciences, University of East Anglia, Norwich, UK, and Centrum Wiskunde & Informatica (CWI), Amsterdam, Netherlands.