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Subsequently many papers have been published on studies of various language groups as well as comparisons of the methods.An output of a quantitative historical linguistic analysis is normally a tree or a network diagram.

A goal of comparative historical linguistics is to identify instances of genetic relatedness amongst languages.An internal node represents a linguistic ancestor in a phylogenic tree or network.Each language is represented by a path, the paths showing the different states as it evolves.The reconstructed languages are idealized and different scholars can produce different results.Language family trees are often used in conjunction with the method and "borrowings" must be excluded from the data, which is difficult when borrowing is within a family.

There is only one path between every pair of vertices.