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For a given set of taxa like X, and a set of splits S on X, usually together with a non-negative weighting, which may represent character changes distance, or mayalso have a more abstract interpretation, If the set of splits S is compatible, then it can be represented by an unrooted phylogenetic tree and each edge in the tree corresponds to exactly one of the splits. More generally, S can always be represented by a split network, which is an unrooted phylogenetic network with the property that every split s in S is represented by an array of parallel edges in network.
A split network N can be obtained from a number of different types of data:
- Split networks from distances
- Split networks from trees
- Split networks from sequences
- Split networks from quartets